a recent survey of 6 social networking sites has a mean of 9.05 million visitors for a specific month. the standard deviation was 5 million. find the 98% confidence interval of the true mean. assume the variable is normally distributed. round your answers to at least two decimal places.

Answers

Answer 1

The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80

Given,

Number of social networking sites being surveyed = 6

Sample mean = 9.05 million visitors per month

Standard deviation = 5 million

We have to find the 98% confidence interval of the true mean;

Here,

Sample mean, x = 9.05 million

Standard deviation, σ = 5 million

Sample size, n = 6

z score of 98% is 2.326

Now,

9.05 million - 2.326 × (5 million / √6) < true mean < 9.05 million + 2.326 × (5 million / √6)

43.02 million < true mean < 13.80

Therefore,

The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80

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Related Questions

10 - 2(4 + 12x)

pls give me an equation answer, not the solution!!!

Answers

Answer:

-2 ( 12x - 1 )

Step-by-step explanation:

1) Simplify the equation

To simplify the equation, we have to get rid of any brackets. To do this multiply the term to left of it with everything inside the bracket

-2 x 4 = -8-2 x 12x = -24x

Now we can plug these numbers into our equation

2) Collect like terms

The equation we are left with from the previous step would be 10-8-24x

The terms that are similar are 10 and -8.

To collect like terms simplify the terms down to one term

10 - 8 = 2

3) Find common factor and simplify

What we are left with from the previous step is -24x+2

To find the common factor you have to find a number that goes it both numbers which for 2 and 24 would be 12.

-24x ÷ 2 = -12x2 ÷ 2 = 1We are left with -2 ( 12x - 1 )

Hope this helps, have a great day!

What integer values satisfy both inequalities? − 2 < x < 3 x < 2

Answers

Answer:

-1, 0, 1

Step-by-step explanation:

Eric owns shares of a certain stock. If he sells off 8 shares each month for a year, find the change in the number of shares of stock he owns.​

Answers

After solving the word problem,  the change in the number of shares of stock he owns, is x-96.

In the given question we have to find  the change in the number of shares of stock he owns.

As given that Eric owns shares of a certain stock. If he sells off 8 shares each month for a year.

Let Eric owns x shares of a certain stock.

If he sells off 8 shares each months for a year.

So as we know that in a year have 12 months.

In 1 month = 8 shares sells

12 months = 12×8 shares sells

12 months = 96 shares sells

So in a year Eric sells 96 shares and he have total x shares.

So the remaining shares are x-96.

Hence, the change in the number of shares of stock he owns, is x-96.

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tickets for a baseball game are $69 for main level seats and $39 for terrace level seats. a group of fifteen friends went to the game and spent a total of $735 for the tickets. how many of main level and how many terrace level tickets did they buy?

Answers

Tickets for a ball game are $69 for Primary Level seats and $39 for Porch Level seats. A total of $804 was spent on the tickets by a group of 16 friends who attended the game.

How many tickets were purchased for the Main Level and the Terrace Level?

No. of tickets for the Main Level = X

No. total price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X = 624 + 30X 30X = 804 - 624 = 180 X = 180/30 = 6

No. of Terrace Level Tickets = 16 - X

Main Level Tickets Prace = 69X

Terrace Level Tickets Prace = 39X

Total Price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X =of tickets for the Main Level, X = 6

No. of tickets for the Terrace Level: 16 - X = 16 - 6 = 10 Check:39x10 + 69x6 = 390 + 414 = 804

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fill in the blank, somebody help please. will mark brainliest + 20pt

Answers

Answer:

c) divide both sides by 8

hope this helps!

Answer:

Its the 3 option

a 12oz box of cereal costs $3.50. An 18oz box of cereal costs $5.40. Set up equations to determine which is the better buy.

Answers

Answer:

12oz box of cereal for $3.50 is the better buy

Step-by-step explanation:

12oz=$3.50

36oz = $10.50

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

18oz=$5.40

36oz=$10.80

What’s the unit rate for three dollars for 2 1/2 hours of work

Answers

The unit rate for three dollars for 2 1/2 hours of work will be $1.2 using the concept of unitary method.

What is unitary method?

The unitary method is a technique that involves determining the value of a single unit and then calculating the value of the requisite number of units based on that value. The term unitary refers to a single or unique entity. As a result, the goal of this approach is to determine values in reference to a single unit. The unitary technique is a method for determining the value of any necessary quantity by first obtaining the value of the unit (one) quantity.

Here,

$3 for 2.5 hours of work,

1 hour will cost $x,

3/2.5=x/1

2.5x=3

x=$1.2

Using the unitary technique, the unit rate for three dollars for two and a half hours of labour will be $1.2.

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There is a line whose y-intercept is -2 and whose slope is 1. What is its equation in
slope-intercept form?

Answers

Answer is y = x - 2

Step by step

Slope intercept formula is
y = mx + b

We know m = 1 slope
We know b = -2 y intercept

So

y = x - 2

(*note, we don’t have to put the 1 in front of the x because it is assumed. If it helps you learn this concept, you can write it as
y = 1x - 2

please help me

what ∞ times x = what

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Infinity is denoted by ∞.

∞ = 1/0

times x is ∞

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Infinity is denoted by ∞.

∞ = 1/0

Now,

∞ times x = ∞

Whatever we multiply with infinity will always give us infinity.

Thus,

times x is ∞

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Dr. Ellison says that the equation y = -3x + 7 has a solution f(2) = 5/3. Is Dr. Ellison right or wrong?

Answers

Dr. Ellison's equation that f(2) = 5/3 is wrong

How to determine if the doctor is right or wrong?

From the question, we have the following equation that can be used in our computation:

y = -3x + 7

This equation can be expressed as a function

So, we have

f(x) = -3x + 7

In Dr. Ellison's equation, we have

f(2) = 5/3

This means that

x = 2

So, we have

f(2) = -3 * 2 + 7

Evaluate

f(2) = 1

The calculated value is different from Dr. Ellison's equation

Hence, the solution is wrong

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2 -3 - > › Solve for x 5(x + 2) = 6x +1 X =​

Answers

Answer:

the is 20 because you need to multiple

a box is given a sudden push up a ramp. friction between the box and the ramp is not negligible. which of the following diagrams best represents the directions of the actual forces acting on the box as it moves upward after the push?

Answers

For a box given a sudden push up a ramp and the friction between the box and the ramp is not negligible, the diagrams which best represent the directions of the actual forces acting on the box as it moves upward after the push is Option A.

Friction refers to the force of resistance in the relative motion of solid surfaces in contact and sliding or rolling against each other. Frictional forces are affected by the surface texture and the amount of force impelling them together and the angle and position of the object. The actual forces acting on the box will be the normal force (always perpendicular to the surface), weight force (acting downward) and frictional force (acting opposite to the direction of push).

Note: The question is missing options which are provided in the figure.

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Find the common difference of the arithmetic sequence -4, 1, 6,...

Answers

4 I think is the right answer but I’m not sure so sorry if u get this wrong

y + 2.1 > 0.8 Solve the inequality for y.
Simplify your answer as much as possible.

Answers

Answer:

y>-1.3

Step-by-step explanation:

y+2.1>0.8

 -2.1.   -2.1

   y>-1.3

Hopes this helps please mark brainliest

Answer:

Hi! Okay so the Inequality form would be: Y>-1.3

and the Interval Notation would be: (-1.3, ∞)

Sorry if it doesn't work btw

Step-by-step explanation:

Are these 4 problems SSS SAS ASA AAS HL

Answers

1. The first figure posses the SSS property.

2. The second figure posses the ASA property.

3. The third figure posses the hypotenuse length property.

4. The fourth figure posses the SAS property.

Given:

1. The first figure shows the SSS property.

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

hence the two triangles are congruent.

2. The second figure posses the ASA property.

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

hence the two triangles are congruent.

3. The third figure posses the hypotenuse length properety.

RHS criterion stands for right angle-hypotenuse-side congruence criterion. Under this criterion, two triangles are congruent, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle.

hence the two triangles are congruent.

4. The fourth figure posses the SAS property.

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

hence the two triangles are congruent.

Hence we get the required answer.

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Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. f(x) = 2x + 3, [0, 2], 4 rectangles

Answers

Two approximations of the area of the region between the graph are

(9, 11)

Given;

To calculate two approximations of the area of the region between the graph of the function and the x-axis across the given interval, use the left and right endpoints and the specified number of rectangles. rectangles f(x) = 2x + 3, [0, 2], 4

The graph is positive and the width of each subinterval will be,

a = 0, b = 2, n = 4

Δx = b-a/n = 2-0/4

     = 0.5

Now for different values;

x → f(x) = 2x+3

x₀ = 0 → f(x₀ ) = 2x+3 = 2(0)+3 = 3

x₁ = 0.5 → f(x₁) = 2x+3 = 2(0.5)+3 = 4

x₂ = 1.0 → f(x₂) = 2x2+3 = 2(1) +3 = 5

x₃ =1.5 → f(x₃) = 2x+3 = 2(1.5)+3 = 6

x₄ = 2 → f(x₄) = 2x+3 = 2(2)+3 = 7

The area by using the approximation using 4 approximating rectangles and right endpoints is given by,

A ≈ R₄ = ∑f(x) Δx = ( ƒ(x1)Δx + ƒ (x2)Δx+ ƒ (x3)Δx + ƒ (x4)Δx)

          = 0.5 (4 + 5 + 6 + 7)

          = 0.5 × 22

          = 11

The area by using the approximation using 8 approximating rectangles and left endpoints is given by.

A ≈ L₄ = ∑f(x) Δx = ( ƒ(x0)Δx + ƒ (x1)Δx+ ƒ (x2)Δx + ƒ (x3)Δx)

          = 0.5 (3 + 4 + 5 + 6)

          = 0.5 × 18

          =9

Thus, 9 < Area < 11.

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Mike's Fitness Center charges $30 per month for a
membership. All-Day Fitness Club charges $22 per month
plus an $80 initiation fee for a membership. After
type your answer...
months will the total amount
paid to the two fitness clubs will be $
type your answer...

Answers

For the given fees charged by two fitness clubs , number of months required by two fitness clubs to pay the same total amount is equal to      10 months.

As given in the question,

Number of fitness club  = 2

Let 'x' represents the number of months

Charges for a month membership charged by Mike's Fitness center is equal to $30.

Charges for a month membership charged by All-Day Fitness club is equal to $22 plus $80 initiation fee.

Required equation when two clubs have same amount of charges is given by:

30x = 22x + 80

⇒ 30x -22x = 80

⇒ 8x = 80

⇒ x = 10 months

Therefore, number of months required by two fitness clubs to pay the same total amount is equal to 10 months.

The complete question is:

Mikes fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?

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A SALESMAN BOUGHT A COMPUTER FROM A MANUFACTURER. THE SALESMAN THEN SOLD THE COMPUTER FOR $15,600 MAKING A LOSS OF 25%. WHAT AMOUNT DID THE SALESMAN PAY THE MANUFACTURER FOR THE COMPUTER?

Answers

Answer:

20800 dollars

Step-by-step explanation:

15600*(1/0.75)

=20800

the original price was 20800 dollars.

weirdly expensive computer though

i need to know how to find the slope!!

Answers

Answer:

Step-by-step explanation:

Slope of a straight line is the gradient of that line.

Formula for gradient is rise over run. Meaning: m = (y2 - y1) / (x2 - x1)

To use this formula, you need 2 points of the straight line. They have already given you one: (8, -3). For the second one, we consider the equation of the line. The y-intercept is given too: -4.

Now, keep in mind, the y intercept is the point of the line that passes from x = 0. Meaning, the point where the line touches the y axis, and at y axis, x = 0. So our second point is (0, -4).

Now as we have 2 points, (8, -3) and (0, -4), we put the values in the formula: m = (y2 - y1) / (x2 - x1) = (-4 - (-3)) / (0 - 8) = -1 / -8 = 1 / 8

determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. the b. the c. the d. the e. the f. the
a. The amount of rain in City Upper B during April
b. The number of statistics students now reading a book
c. The eye color of people on commercial aircraft flights
d. The time it takes for a light bulb to burn out
e. The square footage of a house
f. The time it takes to fly from City Upper A to City Upper B

Answers

a) Continuous random variable

b) Discrete variable

c) Discrete random variable

d) Continuous random variable

e) Continuous random variable

f) Continue random variables

A variable is something whose value changes.

A discrete variable is a variable whose value can be obtained by counting.

Example: Number of students in attendance

Number of red marbles in a jar

A continuous variable is a variable whose value is determined by measurements.

Example: Height of a student in a class

Weight of a student in a class

Random variable : A random variable is a variable whose value is the numerical result of a random phenomenon.

Random variables are marked with capital letters.The probability distribution of a random variable X gives the possible values of X and how probabilities are assigned to those values.

Random variables can be discrete or continuous.

A discrete random variable X has a countable number of possible values.

Example: Let X be the sum of two dice.

A continuous random variable X takes all values at a specific number interval.

The probability distribution of a continuous random variable is represented by a density curve. The probability that a continuous random variable X is exactly equal to a number is zero.

On the basis of above definition we can easily evaluate that the given examples are random variable, continuous random variable or Discrete variable.

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please help me fast!!

Answers

Answer:

4(y+3)(y+5)

Step-by-step explanation:

4y^2+32y+60 = 4(y^2+8y+15) = 4(y+3)(y+5)

y^2+8y+15 = (y+3)(y+5)


LCD = 4(y+3)(y+5)

change this root into a power

Answers

Answer:

[tex]2^{\frac{4}{3}}[/tex]

Step-by-step explanation:

we do the reverse of what is in the photo

Denominator of exponent is 3 and numerator 4

2^4/3

hopes this helps please mark brainliest

Slope = -1/5, y-Intercept = -1/4

Answers

Answer:

[tex]\sf y =\dfrac{-1}{5}x-\dfrac{1}{4}[/tex]

Step-by-step explanation:

Slope y-intercept form of equation: y =mx +b

Here, m is the slope and b is the y-intercept.

Substitute the values of m and b in the above equation.

  [tex]\sf m = \dfrac{-1}{5} \\\\b = \dfrac{-1}{4}[/tex]

       Slope y-intercept form:

              [tex]\sf \boxed{y=\dfrac{-1}{5}x - \dfrac{1}{4}}[/tex]


Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:

Slope: 1

Step-by-step explanation:

If you take 2 points on the graph, for example (0,3) and (-3,0), you can find the slope. Use the rise over run method (y2-y1/x2-x1). 0-3=-3 and -3-0=-3. After I did that, I divided it: -3/-3=1.

find slope of points (10,8) and (1,1)

Answers

Answer: Slope=7/9

Step-by-step explanation:

m=[tex]y_{2} - y_{1} / x_{2} - x_{1}[/tex]

We can insert your equation to get:

m=8-1/10-1

Simplify:

m=7/9

Based on the following calculator output, determine the mean of the dataset, rounding to nearest 100th if necesssrt.

Answers

The mean is 63.12 using the data given.

Given that,

Calculate the dataset's mean using the output from the following calculator, rounding to the nearest 100th if necessary.

1-Var-Stats

[tex]\bar x[/tex] = 63.1428571429

∑x = 442

∑x² = 28266

Sₓ = 7.71208081364

σₓ = 7.13999942834

n = 7

minX = 48

Q₁ = 58

Med = 66

Q₃ = 69

maxX = 69
​Mean value is defined as sum of all data values divided by the total number of data values

Using the given data output

We get,

Mean = 63.14 (rounded to 2 decimals)

Therefore, The mean is 63.12 using the data given.


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the weather report sugested that your city temperture increase by -10 degrees and went to 20 degrees celsuis . what is the rise in temperture

Answers

Answer:just add if i am right?

Step-by-step explanation:



If x= 1 is a zero of the polynomial function f(x) = 3x³+4x² - 5x-2, which of the following is another zero of f(x)? (6 points)

Answers

Answer: x=1    x=-2   x=-1/3

Step-by-step explanation:

[tex]f(x)=3x^3+4x^2-5x-2\\\\3x^3+4x^2-5x-2=0\\\\3x^3+(-3x^2+7x^2)-5x-2=0\\\\(3x^3-3x^2)+7x^2-5x-2=0\\\\3x^2(x-1)+7x^2+(-7x+2x)-2=0\\\\3x^2(x-1)+(7x^2-7x)+(2x-2)=0\\\\3x^2(x-1)+7x(x-1)+2(x-1)=0\\\\(x-1)(3x^2+7x+2)=0\\\\x-1=0\\\\x=1\\\\3x^2+7x+2=0\\\\3x^2+(6x+x)+2=0\\\\(3x^2+6x)+(x+2)=0\\\\3x(x+2)+(x+2)=0\\\\(x+2)(3x+1)=0\\\\x+2=0\\\\x=-2\\\\3x+1=0\\\\3x=-1\\\\[/tex]

Divide both parts of the equation by 3:

[tex]\displaystyle\\x=-\frac{1}{3}[/tex]

The function h(x)=x² +5 maps the domain given by the set {-2, -1, 0, 1, 2}. Which of the following sets
represents the range of h(x)?
(1) {0, 6, 10, 12)
(2) {5,6,7}
(3) {5, 6,9}
(4) {1, 4, 5, 6,9}

Answers

For the given function h(x) = x² +5 ,the domain of the function h(x) maps by the set { -2, -1, 0, 1, 2 } then the range of the function h(x) is given by the set { 5, 6, 9 } .

As given in the question,

Given function is equal to :

h(x) = x² +5

Domain of the function h(x) = x² +5 maps by the set { -2, -1, 0, 1, 2 }

Range of the function h(x) = x² +5 is represented by the set as follow :

Substitute the value x = -2, -1, 0, 1, 2 in the function h(x) = x² +5 we get,

h(-2) = (-2)² + 5

       = 9

h(-1) = (-1)² + 5

       = 6

h(0) = (0)² + 5

       = 5

h(1) = (1)² + 5

       = 6

h(2) = (2)² + 5

       = 9

Range of the function is represented by the set : { 5, 6, 9 }

Therefore, for the given function h(x) = x² +5 ,the domain of the function h(x) maps by the set { -2, -1, 0, 1, 2 } then the range of the function h(x) is given by the set { 5, 6, 9 }.

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a rectangle has a area of 50
the length is x+10
the width is x
solve for x.

Answers

The value of x in the rectangle is  -5 + 5√3.

How to find the area of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other. Opposite sides are parallel to each other.

Therefore, the area of a rectangle can be found as follows:

area of a rectangle = lw

where

l = lengthw = width

Therefore,

length = x + 10

width = x

Hence,

50 = x(x + 10)

50 = x² + 10x

x² + 10x - 50 = 0

using quadratic formula,

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

a = 1

b = 10

c = -50

Therefore,

x = [tex]\frac{-10+\sqrt{10^{2}-4(1)(-50) } }{2(1)}[/tex]  and x =  [tex]\frac{-10-\sqrt{10^{2}-4(1)(-50) } }{2(1)}[/tex]

Hence,

x = -5 + 5√3 and x = -5 - 5√3

Therefore, we can't use negative values

The value of x = -5 + 5√3

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