Write an equation in point-slope form of the line that passes through the point(3,5) and has a slope of m=-1

Answers

Answer 1
The answer is y= -1x+8
Step-by-step explanation:
y=mx+b
m= -1
y-y=m(x-x1)
y-5=-1(x-3)
y-5=-1x+3
+5 +5
y=-1x+8

Related Questions

Can someone help me find this please and thank you:)

Answers

Answer:

The perimeter to the question is 30.

Step-by-step explanation:

.

[tex]3 + 3 + 3 + 3 + 9 + 9 \\ 6 + 6 + 18 \\ 12 + 18 \\ 30[/tex]

what is the quadratic equation for this graph? will make brainiest if also tell me how to put into vertex from

Answers

Answer:

Step-by-step explanation:   The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y -axis. The coefficients a,b, and c in the equation y=ax2+bx+c y = a x 2 + b x + c control various facets of what the parabola looks like when graphed.

Hope you like it.

Solve the system of equations below.

Answers

I know this doesn’t answer the question but that is what my work looks like and was wondering if you are doing virtual because I thought it was only my county doing this system

benjamin is making bow ties how many half yard long bow ties can he make if he has 18 feet of fabrics

Answers

To determine how many bow ties he can make, we need to convert the units of measurement and calculate the number of half-yard lengths in 18 feet.

To convert feet to yards, we need to divide the number of feet by 3, as there are 3 feet in a yard.

In this case, 18 feet is equal to 6 yards (18 feet ÷ 3).

Since Benjamin wants to make bow ties that are each half a yard long, we can calculate the number of bow ties he can make by dividing the total length of fabric (6 yards) by the length of each bow tie (0.5 yards).

Dividing 6 yards by 0.5 yards gives us a total of 12. Benjamin can make 12 half-yard long bow ties using the 18 feet of fabric he has.

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Does the following argument illustrate the Law of Detachment?

Given: If the fuse has blown, then the light will not go on.
The fuse has blown.

Conclude: The light will not go on.

A. Yes
B. No

Answers

The correct answer is A. Yes. the argument conforms to the Law of Detachment.

Yes, the argument does illustrate the Law of Detachment. The Law of Detachment is a valid form of reasoning in propositional logic that states that if a conditional statement (p → q) is true and the antecedent (p) is true, then the consequent (q) can be inferred as true.

In the given argument:

The conditional statement "If the fuse has blown, then the light will not go on" can be represented as p → q, where p represents "the fuse has blown" and q represents "the light will not go on."

The given information states that the fuse has blown, which means that p is true.

According to the Law of Detachment, if p → q is true and p is true, we can conclude that q is also true. Therefore, we can infer that "the light will not go on" (q) is true.

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Solve for x
5=2x-3
Enter your answer in the box
x = __

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \: \:E \: Q \: U \: A \: T \: I \: O \: N}}}} : [/tex]

5 = 2x - 3

❀ [tex] \underline{ \underline{ \large{ \tt{ \: T \: O \: \: F\: I\: N \: D}}} }: [/tex]

Value of x

☄ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I\: O \: N}}}} : [/tex]

♨ [tex] \large{ \sf{5 = 2x - 3}}[/tex]

~Swap the sides of the equation :

⇾ [tex] \large{ \sf{2x - 3 = 5}}[/tex]

~We want to remove the 3 first. Since the original equation is -3 , we are going to use the opposite operation and add 3 to the both sides :

⇾ [tex] \large{ \sf{2x - 3 + 3 = 5 + 3}}[/tex]

⇾ [tex] \large{ \sf{2x \: \cancel{ - 3} \: \cancel{ + 3}}} = 8[/tex]

⇾ [tex] \large{ \sf{2x = 8}}[/tex]

~Now , We need to think about how to remove the coefficient 2. Since the opposite of multiplication is division , we are going to divide both sides of the equation by 2 :

⇾ [tex] \large{ \sf{ \frac{2x}{2} = \frac{8}{2}}} [/tex]

⇾ [tex] \boxed{ \large{ \sf{x = 4}}}[/tex]

☯ [tex] \underline{ \underline{ \large{ \tt{C \: H \:E \: C \: K}}}}: [/tex]

☪ [tex] \large{ \tt{L \: H \: S : \: 5 }}[/tex]

[tex] \large{ \tt{R \: H \: S \ \: : \: 2x - 3 = 2 \times 4 - 3 = 8 - 3 = \underline{ \tt{5}}}}[/tex] [ Plug the value of x ]

☥ Since this is a true statement , our answer ( x = 4 ) is correct. Yay! We got our answer :)

♕ [tex] \large{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \text{x = 5}}}}}}}}}[/tex]

[tex] \underline{ \underline{ \text{H \: O\: P \: E \: \: I \: \: H \: E \: L \: P \: E \: D}}}[/tex] !! ♡

[tex] \underline{ \underline{ \text{H \: A \: V \: E \: A \: W \: O \: N \: D \: E \: R \: F \: U \: L \: D \: A\: Y \: / \: N\: I \: G\: H \: T}}}[/tex] !! ツ

☃ [tex] \underline{ \underline{ \tt{C \:A \: R \: R \: Y \: \: O \:N \: \: L \: E \: A \: R\: N \: I \: N \: G}}} [/tex] !!✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

if there's a how and a guy picks her up who's getting abused​

Answers

what does this even mean

Solve the equation on the interval [0,2m). √2 cos x + 1=0

Answers

the solution to the equation on the interval [0, 2π) is x = 3π/4.

To solve the equation, we want to find the values of x that satisfy the equation within the given interval.

First, we isolate the cosine term by subtracting 1 from both sides:

√2 cos(x) = -1

Next, we divide both sides by √2:

cos(x) = -1/√2

To find the solutions, we need to determine the angles whose cosine value is equal to -1/√2. We can use the unit circle or reference angles to determine these angles.

In the interval [0, 2π), the angle that satisfies cos(x) = -1/√2 is x = 3π/4.

Therefore, the solution to the equation on the interval [0, 2π) is x = 3π/4.

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A 30-ft cable is stretched from the top of an antenna to an anchor point 12-ft from the base of the
antenna. How tall is the antenna? Round to the nearest tenth of a foot.

Answers

Hii this isn’t about answering your question, don’t press the links ppl give you in the comments they’re old men selling people into sex traffic by you pressing their link and them getting access to your IP address, anyways have a good day!!

what is the slope and y intercept of -5x+3y=-9

Answers

Answer:

slope = 5/3

y-intercept = (0,-3)

Step-by-step explanation:

Make the equation in slope-intercept form:

-5x+3y=-9

add 5x on both sides

3y=5x-9

divide by 3 on both sides

y=5/3x-3

slope = 5/3

y-intercept = (0,-3)



Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.


Which simulation design has an appropriate device and a correct trial?

Answers

Complete question is;

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.

Which simulation design has an appropriate device and a correct trial?

A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.

B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.

D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.

Answer:

B) Using a table of random digits, select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

Step-by-step explanation:

Since she knows that if she rolls a four on three of her next five rolls she will lose the game, then the best simulation that she will roll a four on three of the next five rolls will be option B because it uses a table of random digits and doesn't ignore any number but is well ordered with 0-6 representing a four and 7-9 not rolling a four.

Use the formula to find the standard error of the distribution of differences in sample means, ¯x1−¯x2. Samples of size 120 from Population 1 with mean 81 and standard deviation 11 and samples of size 70 from Population 2 with mean 73 and standard deviation 17.

Answers

The standard error of the distribution of differences in sample means is approximately 2.8.

The standard error of the distribution of differences in sample means, ¯x1−¯x2, can be calculated using the formula:

SE(¯x1 - ¯x2) = sqrt[s1²/n1 + s2²/n2]

where, s1 and s2 are the standard deviations of the two populations, ¯x1 and ¯x2 are the sample means of the two populations, and n1 and n2 are the sample sizes of the two populations.

In this case,

Population 1 has a sample size of n1 = 120, a mean of ¯x1 = 81, and a standard deviation of s1 = 11.

Population 2 has a sample size of n2 = 70, a mean of ¯x2 = 73, and a standard deviation of s2 = 17.

Substituting these values into the formula,

SE(¯x1 - ¯x2) = sqrt[11²/120 + 17²/70]≈ 2.8

Therefore, the standard error of the distribution of differences in sample means is approximately 2.8.

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Flip a coin 100 times. Find the expected number of heads, with its uncertainty (the typical fluctuation).
Roll a die 100 times. Find the expected number of times getting a '6', with its uncertainty.
Roll a die 100 times. Find the expected number times not getting a '6', with its uncertainty.

For each of the three cases:
Express the result (best value ± uncertainty) with uncertainty rounded to one significant digit.
Base your calculations, first, on the Binomial distribution.
Repeat the calculation but now based on the Poisson distribution.

Discuss the appropriateness of the Poisson distribution for these three cases. That is...

Does it seem to give a good approximation? Why should this be so?
Even if a good approximation, the Poisson cannot be quite right. Why not?

Hints: The Poisson approximates the binomial for n large and p small but allows infinite successes.

Answers

The typical fluctuation is based on the square root of the variance, which is equal to 5.

The typical fluctuation is based on the square root of the variance, which is equal to 3.7.

The typical fluctuation is based on the square root of the variance, which is equal to 3.7.

The Poisson distribution does not account for the finite probability of zero events occurring, and it can not handle problems where the expected number of events is very large, as it assumes an infinite number of successes, which is not the case in real life.

1) Binomial distribution

Binomial distribution is the probability distribution of obtaining exactly r successes in n independent trials with two possible outcomes of a given event.

The best value for the expected number of heads when a coin is flipped 100 times is 50.0, with the uncertainty being 5.0.

The typical fluctuation is based on the square root of the variance, which is equal to 100 x 0.5 x (1-0.5) = 25, which gives the fluctuation to be 5 (the square root of 25).

The Poisson distribution is an excellent approximation for binomial distributions, especially when n is large and p is small.

2) Binomial distribution

The best value for the expected number of times getting a '6' when a die is rolled 100 times is 16.7, with an uncertainty of 4.1.

The typical fluctuation is based on the square root of the variance, which is equal to 100 x (1/6) x (5/6) = 13.9, which gives the fluctuation to be 3.7 (the square root of 13.9)..

3) Binomial distribution

The expected number of times not getting a '6' when a die is rolled 100 times is 83.3, with an uncertainty of 4.1.

The typical fluctuation is based on the square root of the variance, which is equal to 100 x (5/6) x (1/6) = 13.9, which gives the fluctuation to be 3.7 (the square root of 13.9).

Poisson distribution

The Poisson distribution is a good approximation for the binomial distribution because n is large and p is small. Furthermore, the Poisson distribution can be used to predict the probability of a specific number of events occurring in a specific amount of time, which makes it ideal for modeling the number of radioactive decays or the number of phone calls to a call center.

However, the Poisson distribution does not account for the finite probability of zero events occurring, and it can not handle problems where the expected number of events is very large, as it assumes an infinite number of successes, which is not the case in real life.

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compute the accumulated value of $8600at 6.45% after 8
months (simple interest)

Answers

The accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8971.90.

To compute the accumulated value of $8600at 6.45% after 8 months (simple interest), we need to use the formula for simple interest, which is given by:

I = P × r × t

Where, I is the interest earned, P is the principal amount, r is the interest rate, and t is the time in years.

Here, we have t in months, so we need to convert it into years by dividing by 12.

So, t = 8/12 = 2/3 years.

Now, substituting the given values, we get:

I = 8600 × 6.45/100 × 2/3 = $371.90

Therefore, the accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8600 + $371.90 = $8971.90.

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Use the SIN to find x?
190m
Xm
1. Set Up
2. Operation
3. Answer
52.2

Answers

Answer:

sine=opposite/hypotenuse

sin52.2=x/150

sin0.790=x/150

x=118.5

Solve the proportion
17/4 = y/6

Answers

Answer:

This is your answer ☺️☺️

find the value of the variable for each polygon​

Answers

The value of variable h is,

⇒ h = 18

We have to given that,

A heptagon with angles are shown in figure.

Here, All the angles are,

⇒ 6h°, 132°, 146°, 146° , (6h + 10)° , (6h + 10)° , 146°, and 132°

We know that,

Sum of all the angles in a heptagon is, 900°

Hence, We get;

⇒ 6h° + 132° + 146° + 146° + (6h + 10)° + (6h + 10)° + 146° + 132° = 900°

Combine like terms,

⇒ 18h + 576 = 900

⇒ 18h = 900 - 576

⇒ 18h = 324

⇒ h = 18

Thus, The value of variable h is,

⇒ h = 18

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HELP ASAP I WILL GIVE BRAINLIEST IF I CAN

Answers

Answer: add 3

Step-by-step explanation:

hi please help i’ll give brainliest

Answers

Answer:

Choice D

Step-by-step explanation:

I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.

Please Help Quick I am being timed
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

c.

Step-by-step explanation:

As I figured out, any number that is not 0, meaning any number with a value is a Significant Digit. For example, in 3003 there's only 2 significant digits. The easiest way to figure these things out is adding the digits.

I hope this helps :D

find the slope of the passing line through the points -3/8 and 4/8 ​

Answers

Answer:

Subtract the y's: 7 - 2 = 5

Subtract the x's in the same order: 6 - 4 = 2

slope = (difference in y)/(difference in x) = 5/2

Answer: 5/2

3. if u get this right i’ll give u brainliest

Answers

Answer:

(-3,2)

Step-by-step explanation:

3/4 of eight is six so go to two and then find the x, as x wasn't on the numbers it is not a multiple of two, so three was the closest number

may be wrong

Which form of a linear equation is defined by y = mx +b?
O A. Parallel form
O B. Standard form
O C. Slope-intercept form
O D. Point-slope form

Answers

This is slope intercept form

The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The linear equation is defined by,

⇒ y = mx + b

Now, We know that;

The equation defined as;

⇒ y = mx + b

Where, 'm' is slope and 'b' is y - intercept.

Hence, The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

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The scatter plot shows the amount of time Adam spent studying and his test scores, Predict Adam's test score when he studies for 6 hours
100
90
80
Test Score
70
O.
60
0
0 1 2 3 4 5
Time Studying (hours)
When he studies for 6 hours, Adam should score about

Answers

Answer:

I think 100

Step-by-step explanation:

Alice is using a rope to pull a wagon. He exerts a force of 2 newtons at an angle of 48° from the floor.


Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.


Part B: What implications does this have for pulling the wagon? Explain.

Answers

Answer:

Part A - i. 0.68 N ii. 1.88 N

Part B - The wagon will move slowly while being raised up off the ground.

Step-by-step explanation:

Part A: Suppose the direction of the force changes from a 48° angle with the floor to a 70° angle with the floor. Determine the effect on the horizontal and vertical components of the force. Give forces to the nearest hundredth of a unit.

Since the force of 2 N is exerted at this new angle of 70°,

i. the horizontal component u = 2cos70° = 0.684 N ≅ 0.68 N and its

ii. vertical component, v = 2sin70° = 1.879 N ≅ 1.88 N

Part B: What implications does this have for pulling the wagon? Explain.

Since we have a horizontal component of 0.68 N and a vertical component of 1.88 N, most of the force is used in raising the wagon off of the ground with less of it moving it forward. So, the wagon will move slowly while being raised up off the ground.

Leo has a rectangular garden with a perimeter of 40 feet. The width of the garden is 8 feet. What is the length of the garden?​

Answers

Answer:

5 feet

Step-by-step explanation:

I need help please with this assignment

Answers

Answer:

a) 10 yards and 10[tex]\sqrt{3}[/tex] yards

Step-by-step explanation:

The intersection of the support beams in the middle form four right angles, since all four sides are equal.  Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):

180°-90°-30° = 60°

This is a 30-60-90 triangle (if you don't know what that is, you can look it up).  In a 30-60-90 triangle, the hypotenuse is 2x.  In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:

2x = 10

x = 5

Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.

The side directly across from the 30° angle is just x, which is equal to 5.  The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].

Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:

5*2 = 10

(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]

*I hope this makes sense!*

Which of the following equations could be the line of best fit?
A. x = 100
B. y = 100
C. y = x + 100
D. y = x - 100

Answers

The real answer is B

The joint density of X and Y is given by

f (x,y) = c1/2x^2y^2, 1
Compute c.

Answers

Therefore, the value of c is 2/9.

The joint density of X and Y is given by f (x,y) = c(1/2) x² y², 1.

We are to calculate the value of c.

Step-by-step solution: It is given that joint density of X and Y is f (x,y) = c(1/2) x² y², 1.

The joint probability density function f(x, y) satisfies the following properties:f(x, y) ≥ 0 for all x and y.f(x, y) is continuous in x and y.∫∞−∞∫∞−∞f(x, y)dxdy = 1

From the given joint density function, we can compute marginal density of X and marginal density of Y by integrating over the other variable, as follows: P(X = x) = ∫ f(x, y) dy and P(Y = y) = ∫ f(x, y) dx

Let's calculate the marginal density of X.P(X = x) = ∫ f(x, y) dy∫ f(x, y) dy = c(1/2) x² ∫y² dy Limits of integration are from -1 to 1.P(X = x) = c(1/2) x² [(1/3) y³]1 and -1.∫ f(x, y) dy = c(1/2) x² [(1/3) (1³ - (-1)³)]P(X = x) = c(1/2) x² [(1/3) (1 - (-1))]P(X = x) = c(1/2) x² (2/3)P(X = x) = (1/3) c x²P(X = x) = 1,

integrating over all possible values of x, we obtain:1 = ∫ P(X = x) dx= ∫ (1/3) c x² dx Limits of integration are from -1 to 1.1 = (1/3) c [(1/3) x³]1 and -1.∫ P(X = x) dx = (1/3) c [(1/3) (1³ - (-1)³)]1 = (1/3) c [(1/3) (1 - (-1))]1 = (1/3) c (2)1/2 = (2/9) c2/9 = c

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Answer:

Step-by-step explanation:

The joint density of X and Y is given by the function f (x,y) = c1/2x²y², 1. The value of c is 18.

We are required to find the value of c.

First, we need to know the definition of joint density.

A joint probability density function (PDF) is a statistical measure that describes the probability of two or more random variables occurring simultaneously in terms of their PDFs.

It's a measure of the probability of an event happening as a function of two variables, usually expressed as f(x,y).

So, in this problem, we have given the joint density of x and y is f(x,y) = c/2x²y², 1.

We can solve it by integrating it over the entire range.

The probability density function of X and Y can be found by integrating over the whole sample space.

[tex]$$\begin{aligned}&\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}f_{X,Y}(x,y)dxdy=1\\&\implies\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}f_{X,Y}(x,y)dxdy\\&=\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}c\frac{1}{2}x^2y^2dxdy=1\\&=\frac{c}{2}\int_{-\infty}^{\infty}x^2dx\int_{-\infty}^{\infty}y^2dy\\&=\frac{c}{2}\cdot \frac{1}{3}\cdot \frac{1}{3}=1\end{aligned}$$[/tex]

Hence, [tex]$$\implies c=\boxed{18}$$[/tex].

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Find the sample standard deviation. 12​, 12​, 12​, 15​, 18​,
18​, 18
show work pls

Answers

Answer:

Sample standard deviation = 3

Step-by-step explanation:

We can use the following steps to calculate the sample standard deviation for the given data set:

Step 1: First, calculate the mean of the data set by adding all the values and dividing by the total number of values:

(12 + 12 + 12 + 15 + 18 + 18 + 18) / 7 = 15.

Thus, the mean is 15.

Step 2: Next, subtract the mean from each value in the data set to get the deviation of each value from the mean.

(12 - 15) = -3

We can simply write -3 thrice since 12 appears thrice in the data set.

(15 - 15) = 0

(18 - 15) = 3

Similarly, we can write 3 thrice since 18 appears thrice in the data set.

Thus, the deviations are -3, -3, -3 0, 3, 3, and 3.

Step 3:   Square each deviation:

(-3)^2 = 9

We can write 9 thrice since -3 appears as a deviation thrice.

0^2 = 0

(3)^2 = 9

We can again write 9 thrice since 3 appears as a deviation thrice.

Thus, the squares of all our deviations are 9, 9, 9, 0, 9, 9, and 9.

Step 4:  Add up all the squared deviations:

9 + 9 + 9 + 0 + 9 + 9 + 9 = 54.

Thus, the sum of the squared deviations is 54.

Step 5:  Find the variance by dividing the sum of squared deviations by one less than the number of values in the data set:

54 / (7 - 1) = 9

54 / 6 = 9

Thus, the variance is 9

Step 6:   Finally, find the sample standard deviation by taking the square root of the variance:

√9 = 3

So, the sample standard deviation for this data set is 3.

Other Questions
Which one of the following statements is correct concerning premium bonds?A. The premium increases when interest rates increase.B. The coupon rate is less than the current yield.C. As the time to maturity decreases, the premium increases.D. The yield to maturity is less than the coupon rate.E. The par value exceeds the face value. Presented below is information related to Lexington Real Estate Agency.Oct. 1 Diane Lexington begins business as a real estate agent with a cash investment of $15,600 in exchange for common stock.2 Hires an administrative assistant.3 Purchases office furniture for $2,250, on account.6 Sells a house and lot for N. Fennig; bills N. Fennig $4,000 for realty services performed.27 Pays $800 on the balance related to the transaction of October 3.30 Pays the administrative assistant $2,750 in salary for October.Prepare the debit-credit analysis for each transaction. (If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) One of the variables most often included in surveys is income. Sometimes the question is phrased "What is your income (in thousands of dollars)?" In other surveys, the respondent is asked to "Select the circle corresponding to your income level" and is given a number of income ranges to choose from. In the first format, explain why income might be considered either discrete or continuous? 3. a) Consider the set S of all polynomials of the form c1 + c2x + c3x3 for c1,c2,c3 R. Is S a vector space?b) Consider the set U of all polynomials of the form 1 + c1x + c2x3 for c1,c2 R. Is U a vector space?Please give a detailed explanation. Thank you 1. In a survey of 1 250 Filipino adults, 450 of them said that their favorite sport to watch is football. Using a confidence level of 90%, find a point estimate for the population proportion of Filipino adults who say their favorite sport to watch is football. A. With 90% confidence, we can say that the proportion of all Filipino adults who say football is their favorite sport to watch is between 33.8% and 38.2%. B. With 90% confidence, we can say that the proportion of all Filipino adults who say football is their favorite sport to watch is between 34.2% and 32.2%. C. With 90% confidence, we can say that the proportion of all Filipino adults who say football is their favorite sport to watch is between 338.0% and 382.0%. D. With 90% confidence, we can say that the proportion of all Filipino adults who say football is their favorite sport to watch is between 43.2% and 23.2%. Solution: an atom of 186ta has a mass of 185.958540 amu. mass of1h atom = 1.007825 amu mass of a neutron = 1.008665 amu calculate the mass defect (deficit) in amu/atom. 43. Power Corporation declared a property dividend of 10 meralco shares for one power share held. Power share has a par value of 50 and market value of 100. The meralco shares were originally purchase The standard cost card for the single product manufactured by Cutter, Incorporated, is given below: (1) (2) Standard Quantity Standard Price or Standard Cost Inputs Rate (1) (2) Direct materials Direct labor $5.00 per yard or Hours 4.8 yards 0.7 hours 0.7 hours 0.7 hours $24.00 11.20 Variable overhead $ 16.00 per hour $ 3.00 per hour $7.00 per hour 2.10 Fixed overhead 4.90 Total standard cost per unit $ 42.20 Manufacturing overhead is applied to production on the basis of standard direct labor-hours. During the year, the company worked 9,300 hours and manufactured 13,000 units of product. Selected data relating to the company's fixed manufacturing overhead cost for the year are shown below: Actual Fixed Overhead Fixed Overhead Applied to Work in Process Budgeted Fixed Overhead 2 hours $? per hour $62,800 - $7 Budget variance, $? Volume variance, $2,100 F Required: 1. What were the standard hours allowed for the year's production? 2. What was the amount of budgeted fixed overhead cost for the year? 3. What was the fixed overhead budget variance for the year? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e.. zero variance). Input all amounts as positive values.) 4. What denominator activity level did the company use in setting the predetermined overhead rate for the year? 1. Standard hours allowed for the year's production DLHS 2. Budgeted fixed overhead cost 3. Budget variance 4. Denominator activity DLHS Which one of the following is not a common goal of a cybersecurity attacker?A. DisclosureB. DenialC. AlterationD. Allocation Hello could you help me with this please: A CBA of a new coal mine cites the employment and profit or producer surplus benefits for the local steel manufacturing industry (that uses coal) and port (that aids in the export of coal) in its CBA. Is this a legitimate benefit of the coal mine for the CBA? Explain On page 23 of your brief, you cited to the same case as in problem 1. On page 26 of your brief, you would like to refer to this case again, focusing your readers attention on information beginning on page 69 of the opinion and continuing on to page 70. You have cited to other cases in the interim. [Text of Problem 1: Ahmad B. Nurriddin, Plaintiff, versus Charles F. Bolden, Jr. , Administrator of NASA, Defendant. This case was decided in the United States District Court for the District of Columbia on December 4, 2009. This case is reported in volume 674, page 64, of Federal Supplement, Second Series. ] Use of qualitative and quantitative data to analyze India in terms of the pros/cons of operating a business in the country. Be as specific as possible. AB Inc. assumes new customers will default 8 percent of the time but if they don't default, they will become repeat customers who always pay their bills. Assume the average sale is $383 with a variable cost of $260, and a monthly required return of 1.65 percent. What is the NPV of extending credit for one month to a new customer? Assume 30 days per month. Over the last few decades, the United States beer industry has been characterized by a very clear trend toward an increase in the concentration of the market. Today, some 80% of all beer consumed in the United States is produced by just three companies Anheuser-Busch (which is now owned by lnBev of Belgium), SAB-Miller, and Molson Coors up from 57% of the market in 1980. Anheuser-Busch had almost 50% of the market in 2008, up from just 28.2% in 1980. SAB-Miller (formed in 2002 when South African Breweries merged with Miller Beer) had around 19% of the market, and Molson Coors (formed in 2005 when Canada's Molson merged with Coors) had 11% of the market.Anheuser Busch, SAB-Miller, and Molson Coors dominate the mass market segment of the industry, where competition revolves around aggressive pricing, brand loyalty, distribution channels, and national advertising spending. In contrast, there is another segment in the industry, the premium beer segment, which is served by a large number of microbrewers and importers, the majority of which have a market share of less than 1%. The premium segment focuses on discerning buyers. Producers are engaged in the art of craft brewing. They build their brands around taste and cover higher product costs by charging much higher prices roughly twice as much for a six pack as the mass market brewers. The microbrewers and importers have been gaining share and currently account for about 11% of the total market.Over the past two decades, the industry has changed in a number of ways. First, consumption of beer in the United States has been gradually declining, (even though the consumption of premium beer has been increasing). Per capita consumption of beer peaked at 30 gallons in 1980 and fell to a low of 21.8 gallons in 2007. The decline in consumption was partly due to the growing popularity of substitutes, particularly wine and spirits. In 1994, Americans consumed 1.75 gallons of wine per capita. By 2006, that at figure had risen 2.16 gallons. Consumption of spirits increased from 1.27 gallons per capita in 1994 to 1.34 gallons per capita over the same period.Second, advertising spending has steadily increased, putting smaller brewers at a disadvantage. In 1975, the industry was spending $0.18 per case on advertising; by 2002 it was spending $0.40 per case. (These figures are in inflation adjusted or constant dollars.) Smaller mass-market brewers could not afford the expensive national TV advertising campaigns required to match the spending of the largest firms in the industry, and they saw their market share shrink as a result.Third, due to a combination of technological change in canning and distribution and increased advertising expenditures, the size that a mass-market brewer has to attain to reap all economics of scale called the minimum efficient scale of production has steadily increased. In 1970, the minimum efficient scale of production was estimated to be 8 million barrels of beer a year, suggesting that a market share of 6.4% was required to reap significant economies of scale.By the early 2000s, the minimum efficient scale had increased to 23 million barrels, implying that a market share of 13.06% was required to reap significant economies of scale. By the early 2000s, only 24 mass-market brewers were left in the United States, down from 82 in 1970. Among the remaining mass-market brewers, Anheuser Busch is the most consistent performer due to its superior economies of scale. The company's ROIC has been high, fluctuating in the 17% to 23% range between 1996 and 2008, while net profits grew from $1.1 billion in 1996 to $2 billion in 2008. In contrast, both Coors and Miller, along with most other mass market brewers, have had mediocre financial performance at best. Coors and Miller merged with Molson and SAB, respectively, in an attempt to gain economies of scale.Question a. Imagine you are a consultant for SAB-Miller and need to describe what influences industry profitability. Please use information from the case and not updated information (this industry has changed dramatically).b. Define the industry. What companies should you consider when completing a Porters Five Forces analysis?c. What is the industry competitive structure? What are different ways of validating the hypothesis aboutcustomer demand? Elaborate both qualitative and quantitativevalidation techniques If someone is attempting to focus on multiple tasks at one time, it could be said that they have...a. Enhanced attentionb. Selective attentionc. Divided attentiond. Focused attention Problem 5 (12 points). Does the convergence of (a + b) necessarily imply the convergence of an and Eb? If your answer is YES, prove it using an elementary argument, that is, an argument relying only on definitions. (You may assume the linearity of the convergence of sequences.) Give a counterexample if your answer is NO. If TC = 196-11Q + Q2 in perfect competition how much will each individual firm produce in the long-run? A 20 g ball of clay traveling east at 4.5 m/s collides with a 45 g ball of clay traveling north at 2.0 m/s.A: What is the speed of the resulting 65 g ball of clay?Express your answer with the appropriate units.v = ?What is the direction of the resulting ball of clay?theta = ? A small amount of fluid is contained in the pleural cavity to allow white blood cells and macrophages access to foreign antigens entering the body through air allow gas exchange between the lungs and the blood stream function as a lubricant as the lungs move during ventilation promote the exchange of nutrients with both lungs serve as a shock absorber for the lungs during body movement