Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?


Algebra Not in Algebra Total
Physics 5 14
Not in Physics
Total 29 40
33
38
2
5

Answers

Answer 1

Answer:38

Step-by-step explanation:

sense it subteact between

Answer 2

Answer: 38

Step-by-step explanation: subtract between


Related Questions

(Please help will mark Brainliest)

The scale factor is ____. Write your answer as a whole number or simplified fraction (improper is fine, but otherwise it should be in simplest form). Use the “/” key to separate the numbers; for example: 5/4

Answers

Answer: 3/2

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that Y'X'=3 and YX=2, so the scale factor is 3/2.

is there a real number whose square root is-1?

Answers

Answer:

No.

The square root of any number can never be negative/ -1

farm b has a 200 ft well that uses 10000 cubic feet of natural gas per year. if the cost of natural gas is the same a farm a, what is the annual cost to operate this well

Answers

Annual cost to operate farm B well with cost of natural gas $2.50 per 1,000 cubic feet and uses of 10000cubic feet of natural gas per year is $25.

As given,

Farm A:

Cost of natural gas per 1,000 cubic feet=$2.50

Farm B:

Uses of natural gas per year = 10000cubic feet

Cost of natural gas of farm B is same as farm A

Cost of natural gas per 1,000 cubic feet=$2.50

⇒1cubic feet=2.50/1000

Annual cost to operate 200ft well that uses 10000 cubic feet natural gas

10000 cubic feet=(2.50 ×10000)/1000

                             =$25

Therefore, annual cost to operate farm B well with cost of natural gas $2.50 per 1,000 cubic feet and uses of 10000cubic feet of natural gas per year is $25.

The complete question is:

Farm A has a 100 ft well that uses 7,000 cubic feet of natural gas per year. If the cost of natural gas for farm A is $2.50 per 1,000 cubic feet. And farm B has a 200 ft well that uses 10000 cubic feet of natural gas per year. if the cost of natural gas is the same a farm A, what is the annual cost to operate this well?

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Za and Zb are complementary angles. La measures 64°.
What is the measure of b?

Answers

26°.

Complementary angles add up to 90°, so a + b = 90. We know the measure of a, so we insert that value and solve for b.

64 + b = 90

2. Calculate the length of a side of an equilgteral triangle if the perimeter is: a) 15 cm d) 45 m pot On Mathematics Grade 7 b) 24 cm e) 900m c) ) 36 cm 270 mm

Answers

The length of the sides of equilateral triangles are as follows

5cm,  15m , 8cm , 300m , 12m , 90mm .  

What is meant perimeter of a figure?

The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. By multiplying the lengths of all the sides and edges that surround an object, the perimeter may be calculated. It is measured in measures of length that are linear, such as centimeters, meters, inches, or feet. A regular polygon's sides are all the same length, as far as we know.

Therefore,

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the number of sides divided by the length of a side.

The measurement of a shape's length along its outline is known as its perimeter. Simple addition of the lengths of the object's edges serves as the perimeter measurement method.

The perimeter of an equilateral triangle

= 3a      where a is each side

So,

(a) P = 15 cm

3a = 15

a = 5

each side = 5 cm

(b) 45 m

3a = 45

a = 15 m

each side = 15 m

(c) 24 m

3a = 24

a = 8 cm

each side =  8 cm

(d) 900 m

3a = 900

a = 300 m

each side = 300 m

(e) 36 cm

3a = 36

a = 12 cm

each side = 12 cm

(f) 270 mm

3a = 270

a = 90 mm

each side = 90 mm

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ANSWER its one question

Answers

Answer:

x = 12, y = 60

Step-by-step explanation:

We have parallel lines, so alternate interior angles are congruent.

6x + 3 = 75

6x = 72

x = 12

The interior angles of a triangle add up to 180 degrees.

45 + 75 + y = 180

120 + y = 180

y = 60

Help pls thank you geo 10th

Answers

Solving for f

Adjacent angles of a parallelogram are supplementary, so (f+30)+72=180. It follows that f=78.

Solving for g

Opposite sides of a parallelogram are congruent, so 25=8g-3. It follows that g=3.5.

Can someone please help me with this problem?​

Answers

Answer:

Symmetric property of congruence

Which of the following represents a function?
O A.
B.
X
-2 -3 4 8 -3
5
-27
0
y 1
5
8
F
-4 -2
4
2-
-2-
2
10
13
16
18
X

Answers

Option C correctly represents the function.

How do you defined as function?A function is described as the connection here between set of inputs that each have one output. A function is a relation between inputs in which each input is connected to precisely one output. That each function does have a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x is the input. A function's general representation is y = f. (x).

For the given question;

From the definition of the function, two values in the domain can not have the same image, thus option a and b are incorrect.

Only option c correctly described the function, as for every value of out put there is only one input.

Thus, option c correctly described the function.

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Solve the following system of equations.
-4x+3y=23
5x-7y=-19

(See picture attached)

Answers

X = -8
Y = -3

I hope this helps!

find the domain of each function.
f(x)=1/(x-3)

Answers

The domain of the function f(x)=1/(x-3) will be all the real numbers except 3.

What is a domain?

The domain of the function is defined as the set of all the possible values of the function. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given function is f(x)=1/(x-3). The domain of the function will be all the real numbers. But at x = 3 the value of the function does not exist.

Therefore, the domain of the function f(x)=1/(x-3) will be all the real numbers except 3.

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T=
S=
U=
V=
Someone please help me out

Answers

Answer:

T: (-10,1)

S: (-10,-4)

U: (-5,1)

V:  (-5,-4)

Step-by-step explanation:

Translation means moving the object. Subtract 4 from each x value and add 1 to each y value.

Answer:

T' = (-10, 1)

S' = (-10, -4)

U' = (-5, 1)

V' = (-5, 4)

Step-by-step explanation:

      To do this, we will take each coordinate point, subtract four units from the x-value, and add one unit to the y-value.

T = (-6, 0) ➜ (-6 - 4, 0 + 1) ➜ T' = (-10, 1)

S = (-6, -5) ➜ (-6 - 4, -5 + 1) ➜ S' = (-10, -4)

U = (-1, 0) ➜ (-1 - 4, 0 + 1) ➜ U' = (-5, 1)

V = (-1, -5) ➜ (-1 - 4, -5 + 1) ➜ V' = (-5, 4)

QuestionQuestion 1Consider the function y=x - 5.What are the domain and range of this function?

Answers

According to the given function, which contains a square root, the domain must contain numbers that are greater than or equal to 5, otherwise, we would obtain the square root of a negative value, which is not real.

It means that the domain is

[tex]x\ge5[/tex]

The range contains numbers greater than 0, this is because the minimum value of the domain is 5, when we evaluate the function at this value, the result is 0, which means that the range is:

[tex]x\ge0[/tex]

The answer is the first option.

The midpoint of RS is M(9, 2). One endpoint is S(10, 3). Find the coordinates of the other
endpoint R.
Write the coordinates as decimals or integers.

Answers

Answer: R(8,1)

Step-by-step explanation:

[tex]\displaystyle\\M(9,2)\ \ \ \ S(10,3)\ \ \ \ R(x,y)=?\\\\M_x=\frac{R_x+S_x}{2} \\\\\Rightarrow\ 9=\frac{x+10}{2\\\\}[/tex]

Multiply both parts of the equation by 2:

[tex]9(2)=x+10\\18=x+10\\18-10=x+10-10\\8=x[/tex]

[tex]\displaystyle\\M_y=\frac{R_y+S_y}{2} \\2=\frac{y+3}{2}[/tex]

Multiply both parts of the equation by 2:

[tex]2(2)=y+3\\4=y+3\\4-3=y+3-3\\1=y[/tex]

⇒   R(8,1)

Which method describes an observational study? Method 1 is an observational study because past data are collected and analyzed. Method 2 is an observational study because two city schools are chosen to participate. Method 2 is an observational study because students can choose to participate in the music lessons. Both methods are observational studies because both include students who do and do not play a musical instrument.

Answers

Both methods are observational studies because both include students who do and do not play a musical instrument. So, this method describes an observational study.

Several various kinds of non-experimental studies in which behavior is routinely observed and documented are together referred to as observational research. A variable or combination of variables must be described in order to be the focus of observational research.

In a broader sense, the objective is to capture a moment in time of certain traits of a person, group, or environment. We cannot draw causal inferences from observational research since nothing is altered or controlled, as previously said, making it non-experimental. Although they may also be quantitative or both, the data that are gathered in observational research investigations are frequently qualitative in nature (mixed-methods).

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Answer:

IF ITS THIS QUESTION

An article in a psychology journal claims that young students who play a musical instrument tend to have higher test scores on state math exams. To assess the claim, a government official considers two methods to collect data.

Method 1: Contact many city schools and ask them to provide summary data on state math exam performance and students who participate in music lessons.

Method 2: Choose two city schools and provide free music lessons to students who register. At the end of the year, compare state math exam scores for students who participated in the music lessons with the scores for those who did not.

Step-by-step explanation:

THE AWNSER IS C

Method 2 is an observational study because students can choose to participate in the music lessons.

An observational study is a type of research in which researchers observe and record the behavior of a group of individuals, but do not manipulate or intervene in any way. In this case, Method 2 describes an observational study because the researchers are not manipulating the students' participation in music lessons. Instead, the students are free to choose whether or not to participate in the music lessons, and the researchers simply observe and record the state math exam scores for both groups of students. In contrast, Method 1 is not an observational study because it involves collecting summary data on state math exam performance and music lesson participation, rather than observing and recording the behavior of the students.

solve the equation x^2+3x-7=0 give your answer to 2 dp

I will give 100 pts to anyone who can answer this

Answers

Answer:

[tex]x=\dfrac{-3+\sqrt{37}}{2}, \quad x=\dfrac{-3-\sqrt{37}}{2}[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]x^2+3x-7=0[/tex]

Solve by Completing the Square

Step 1

When completing the square for a quadratic equation in the form [tex]ax^2+bx+c=0[/tex] the first step is to move the constant to the right side of the equation:

[tex]\implies x^2+3x-7+7=0+7[/tex]

[tex]\implies x^2+3x=7[/tex]

Step 2

Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:

[tex]\implies x^2+3x+\left(\dfrac{3}{2}\right)^2=7+\left(\dfrac{3}{2}\right)^2[/tex]

Simplify:

[tex]\implies x^2+3x+\left(\dfrac{3^2}{2^2}\right)=7+\left(\dfrac{3^2}{2^2}\right)[/tex]

[tex]\implies x^2+3x+\dfrac{9}{4}=7+\dfrac{9}{4}[/tex]

[tex]\implies x^2+3x+\dfrac{9}{4}=\dfrac{28}{4}+\dfrac{9}{4}[/tex]

[tex]\implies x^2+3x+\dfrac{9}{4}=\dfrac{28+9}{4}[/tex]

[tex]\implies x^2+3x+\dfrac{9}{4}=\dfrac{37}{4}[/tex]

Step 3

Factor the perfect square trinomial on the left side:

[tex]\implies \left(x+\dfrac{3}{2}\right)^2=\dfrac{37}{4}[/tex]

Step 4

Square root both sides:

[tex]\implies \sqrt{\left(x+\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{37}{4}}[/tex]

[tex]\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{37}}{\sqrt{4}}[/tex]

[tex]\implies x+\dfrac{3}{2}=\pm\dfrac{\sqrt{37}}{2}[/tex]

Step 5

Subtract ³/₂ from both sides:

[tex]\implies x+\dfrac{3}{2}-\dfrac{3}{2}=-\dfrac{3}{2}\pm\dfrac{\sqrt{37}}{2}[/tex]

[tex]\implies x=-\dfrac{3}{2}\pm\dfrac{\sqrt{37}}{2}[/tex]

[tex]\implies x=\dfrac{-3\pm\sqrt{37}}{2}[/tex]

Solutions

Therefore, the solutions of the given quadratic equation are:

[tex]x=\dfrac{-3+\sqrt{37}}{2}, \quad x=\dfrac{-3-\sqrt{37}}{2}[/tex]

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Answer:

i d k

Step-by-step explanation:

I need to solve for x in this equation
3x + 14-6x = 25-x+7

Answers

Answer: x = -9

Step-by-step explanation:1

Combine like terms

2 Add the numbers

3 Rearrange terms

4 Subtract 14 from both sides

5 Simplify

6 Add x to both sides

7 Simplify

8 Divide both sides by the same factor

9 Simplify

If this helped you please consider marking this as the Brainliest Answer, if i make it to 10, I can be promoted to an expert. Thank you!

Answer:

x= -9

Step-by-step explanation:

Simplify  3x+14 -6x to -3x +14

Simplify 25−x+7  to  32−x32−x.

Add 3x3x to both sides.

Simplify  32−x+3x32−x+3x  to  32+2x32+2x.

Simplify  14−3214−32  to  −18−18.

Divide both sides by 22.

Simplify  18/2 to  99.

x=−9 is your final answer

multiply the polynomials (3x^2-5x+7) and (2x^2-5x+7). Simplify the answer

Answers

The multiplication of polynomials (3x² - 5x + 7) and (2x² - 5x + 7) is:

6x^4 - 25x³ + 60x² - 70x + 49

In this question, we have been given two polynomials 3x² - 5x + 7 and 2x² - 5x + 7

We need to multiply given polynomials.

(3x² - 5x + 7) × (2x² - 5x + 7)                          ............(Given polynomials)

= 3x²(2x² - 5x + 7) - 5x(2x² - 5x + 7) + 7(2x² - 5x + 7)      ..........(Distribute)

= 6x^4 - 15x³ + 21x² - 10x³ + 25x² - 35x + 14x² - 35x + 49     .....(Simplify)

= 6x^4 - 15x³ - 10x³ + 21x² + 25x² + 14x² - 35x -35x + 49

= 6x^4 - 25x³ + 60x² - 70x + 49

Therefore, the multiplication of polynomials (3x² - 5x + 7) and (2x² - 5x + 7) is 6x^4 - 25x³ + 60x² - 70x + 49

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Two of the angles in a triangle measure 20° and 8°. What is the measure of the third angle?

Answers

The measure of the third angle in the triangle is 152°.

What is the value of the angle?

It should be noted that a triangle has three sides and the sum of the total angles is 180°.

In this case, two of the angles in a triangle measure 20° and 8°. The third angle will be:

= 180° - (20° + 8°)

= 180° - 28°

= 152°

The angle is 152°.

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what is the equation of this line?

Answers

The equation of line is =1/2 x+1/2 .

What is equation of line?

A line equation is a straightforward mathematical formula that uses the slope, x-intercept, and y-intercept of the line to describe the relationship between the points on the line.

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

y=mx+b

According to graph, points are (-1,0) and (1,1)

Hence we get –m+b=0 and m+b=1

On solving m = ½ and b = ½

The equation of line is =1/2 x+1/2 .

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What are the domain and range of the function f(x) = 4(RootIndex 3 StartRoot 81 EndRoot) Superscript x?


{x| x is a real number}; {y| y > 0}

{x| x > 4}; {y| y > 0}

{x| x is a real number}; {y| y > 4}

{x| x > 4}; {y| y > 4}

Answers

The domain and range of this function f(x) = 4(∛8)ˣ are: A. {x| x is a real number}; {y| y > 0}.

What is a function?

A function simply refers to a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

In this scenario, the function f(x) = 4(∛8)ˣ represents an exponential function. Generally speaking, an exponential function is defined by the set of all real numbers on the x-axis.

Additionally, the value of four (4) is greater than zero (0) and as such the range defined by the set of all real numbers on the y-axis that are greater than zero (0).

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Answer:

A. {x| x is a real number}; {y| y > 0}

Step-by-step explanation:

on edge

Help please i don't know what to do!!!! THANK YOU SO MUCH ILY

Answers

The missing numbers in the third level can be 10, 6 and 18

The equations 2x + y = 14 and x + 2y = 16 are true for the number towerThe values of x and y are 4 and 6

How to complete the number tower?

On the first level of the number tower, we have

First level = 40

On the second level, we have

Second level = 16 and 24

The numbers on the third level of the number tower are missing.

However, these numbers must add up to the sum of 16, while the other must add up to 24

So, we can make use of

10, 6 and 18

This is because

10 + 6 + 6 + 18 = 40

Prove the equations

Here, we have

2x + y = 14 and x + 2y = 16

Multiply 2x + y = 14 by 2

4x + 2y = 28

Subtract x + 2y = 16 from 4x + 2y = 28

4x - x + 2y - 2y = 28 - 16

Evaluate

3x = 12

Divide

x = 4

Also, we have 2x + y = 14

This gives

y = 14 - 2x

y = 14 - 2 x 4

y = 6

So, the values of x and y for 2x + y = 14 and x + 2y = 16 are 4 and 6, respectively

Determine the values of x and y

This has the same step as part (b)

In (b), we have

x = 4

Which gives

2x + y = 14

Make y the subject

y = 14 - 2x

Substitute 4 for x

y = 14 - 2 x 4

Evaluate

y = 6

Hence, the values of x and y for 2x + y = 14 and x + 2y = 16 are 4 and 6, respectively

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Answer the questions about the figures below.

Answers

Answer:

a)Figure C

b) Figure A, B, and C

c)Figure B and C

Step-by-step explanation:

Note squares are rectangles

which of the following represents the ratio of the short leg to the hypotenus in the right triangle shown below​.


brainliest

Answers

The ratio of the short leg to the hypotenuse in the right triangle is 1 : 2. the correct option is D. 1 : 2

Ratio of triangle side lengths

From the question, we are to determine the ratio of the short leg to the hypotenuse in the given right triangle

Given an equilateral triangle with side lengths 2 units each and interior angle 60° each as shown in the diagram below. If the triangle is divided into 2 equal right triangles as shown in the given diagram, the length of the hypotenuse will be 2 units, the length of the short leg will be 1 unit, and the length of the long leg will be √3 units.

Thus,

The ratio of the short leg to the hypotenuse will be

1 unit / 2 units

= 1 : 2

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A shop advertised a 25% off sale. If a coat is originally sold for $256. What's the decrease in price and sale price

Answers

Answer: The decrease in price is $64, and the sale price is $192.

Step-by-step explanation:

0.25 * $256 = $64

$256 - $64 = $192

write an equivalent expression for 3.7^-5 . 3.7^9

Answers

The equivalent expression for [tex](3.7)^{-5}*(3.7)^{9}[/tex] is [tex](3.7)^{4}[/tex].

This is a question of exponents and powers.

Exponents

The exponent of a number says how many times to use the number in a multiplication. In [tex]8^2[/tex] the "2" says to use 8 twice in a multiplication, so [tex]8^2[/tex] = 8 × 8 = 64.

Here, 2 is the exponent or power and 8 is the argument.

We can use exponents when we have to deal with very large numbers.

For example:-

The distance between the Earth and the Sun is measured to be 149,600,000 Km.

To write it in simple terms we will write,

[tex]1.496 * 10^8[/tex] km.

We know that:-

[tex]a^b*a^c=a^{b+c}[/tex]

Here,

a = 3.7,

b = -5 and,

c = 9

Hence, we can write,

[tex](3.7)^{-5}*(3.7)^{9}=(3.7)^{-5+9}=(3.7)^{4}[/tex].

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Roxanne claims that all linear equations represent proportional relationships. Which statement explains whether Roxanne is correct?
A Yes, because all linear equations have graphs that are straight lines.
B No, because not all linear equations have graphs that pass through the origin.
C Yes, because all proportional relationships can be expressed as linear equations.
D No, because not all proportional relationships can be expressed as linear equations.

Answers

Yes, because all linear equations have graphs that are straight lines. This statement explains Roxanne is correct.

The first order of equations is linear equations. For lines in the coordinate system, linear equations are defined. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (one variable) in the equation.

There may be several variables in a linear equation. Linear equations with two variables, and so forth, are what the equation is known as if it has two variables. When the unknown values are replaced for those produced by the solutions of linear equations, the equation is proved to be true. There is just one answer when there is just one variable.

Hence the correct option is A

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What is Y

4-50
5-Y
6-150

Answers

Answer: down here

Step-by-step explanation:

4−50

5−Y

6−150

Factor the expressions that are not already factored.

−46=−2×23

−144=−2

4

×3

2

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

3312(Y−5)

Expand the expression.

3312Y−16560

Use the given information to find mZKJR.
m/RJI=12x-3, m/KJR = 6x - 5,
and m/KJI = 172°. Find m/KJR.

Answers

The measure of ∡KJR is 69°.

What is the sum of two supplementary angles?
Two angles are referred to as supplementary angles if their combined value is 180°. A straight angle is created when supplementary angles are combined (180°).
In other words, ∡A and ∡B are supplementary if ∡A plus ∡B equals 180°. Angles A and B are described as "supplements" of one another in this context.
In math, A° + B° = 180°.

Given, m∡RJI = 12x - 3, m∡KJR = 6x - 5, m∡KJI = 172°
As seen from diagram, m∡RJI + m∡KJR = m∡KJI
⇒ (12x-3)+(6x-50) = 172° ⇒ 18x - 53 = 172° ⇒ x = ([172 + 53]/18)° = 12.5°
Therefore, the value of x = 12.5°
Thus, m∡KJR = 6x - 5 = (6*12.5) - 5 = 69°

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Find The Edge Of The Cube Whose Leteral Surface Area Is 36cm2

Answers

Answer:

3 cm

Step-by-step explanation:

Find The Edge Of The Cube Whose Leteral Surface Area Is 36cm^2

LSA of cube = x^2 + x^2 + x^2 + x^2 = 4x^2

so

4x^2 = 36

x^2 = 9

x = 3

-------------------------------

check

4 * 3^2 =

4 * 9 =

36

the answer is good

Answer: 3 cm

Step-by-step explanation:

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I I Alls PRAAT The cholesterol levels of an adult can be described by a normal model with a mean of 185 mg/dL and a standard deviation of 29. What percent of adults do you expect to have cholesterol levels over 190 mg/dL? exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on december 9. (b) compute the probability that a randomly selected person does not have a birthday on the 3rd day of a month. (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (d) compute the probability that a randomly selected person was not born in february. Suppose the real risk-free rate is 3. 50% and the future rate of inflation is expected to be constant at 4. 60%. What rate of return would you expect on a 1-year treasury security, assuming the pure expectations theory is valid? disregard cross-product terms, i. E. , if averaging is required, use the arithmetic average. The following chemical reaction takes place in aqueous solution:FeCl(aq)+KS(aq) FeS(s)+2 KCl(aq)Write the net ionic equation for this reaction. when performing phage typing to identify an unknown bacterium, you must have in your possession. group of answer choices antiserum containing antibodies that will bind to the bacterium to be identified dna that will hybridize to the dna of the bacterium to be identified fluorescent molecules that will light up when bound to the dna of the bacterium viruses that will specifically infect the bacterium you're trying to identify rna that will hybridize to the rna of the bacterium to be identified A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. Is the relationship between number of turkey subs delivered and amount charged proportional? Explain how you know. (Proportional just means equal) Four teenage, who all work at the same rate, can clean a house in 6 hours. How long would it take three of them to clean the same hose. How is Manjiro surprised by the people he encounters in America? Answer: The height, h, in meters, of a falling object is related to the time, t, in seconds, the objecthas been falling, by the formula h= -4.9t + d, where d is the initial height, in meters, ofthe object above the ground. If an object is dropped from a height of 32 meters, how longdoes it take the object to hit the ground? Round the answer to the nearest hundredth of a second. Kinsley's house is due west of summerfield and due south of hillsdale. summerfield is 6 kilometers from kinsley's house and 10 kilometers from hillsdale. how far is hillsdale from kinsley's house, measured in a straight line? Leily was guessing Josephs number. He said that his number was composite, even, and a square number between 15 and 30. What is Josephs number? I need help!!! Im taking a test that might feasible my grade Set up a proportion and solve.Find the cost of 3 scarves if 2 scarves cost $22.80. A car starts from rest and travels for 4.9 s with a uniform acceleration of +1.4 m/s2. The driver then applies the brakes, causing a uniform acceleration of -1.9 m/s2. The brakes are applied for 1.60 s.(a) How fast is the car going at the end of the braking period?(b) How far has the car gone from its start? Think of all the activities you do in a day that involve electrical energy. Use this sheet to make a list of 5-8 activities. Describe how electrical energy is used in each case. When you are done, consider which ones you might be able to do without to save electricity. Activity Description of how electrical energy is used Solve simultaneously:y = 5x + 210y - 50x = 20 A total of 290 people attended the high school play. The admission prices were $14 for adults, $7 for high school students, and $3 for children not yet in high school. The ticket sales totalled $2040 The principal suggested that next year they raise prices to $17 for adults, $8 for high school students, and $4 for children not yet in high school. He said that if exactly the same number of people attend next year, the ticket sales at the higher prices will total $2470How many adults, high school students, and children not yet in high school attended this year? 6. An astronaut and equipment weigh 2,156 N on Earth. Weightless in space, the astronaut throws awaya 5.0 kg wrench with a velocity of 5.0 m/s. What is the resulting velocity of the astronaut in the oppositedirection? Which concept is most important for a writer to address when revising a narrative? OA. adding footnotes for difficult language OB. incorporating citations when using quotation marks C. adjusting the introduction to make it engaging O D. making corrections to names of characters