Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8

Answers

Answer 1

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].

The other parameters are:

[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]

Hence, the interval is:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

To learn more about the z-distribution, you can check https://brainly.com/question/25890103


Related Questions

The chart below represents the number of marbles in a jar. What is the probability of picking blue?





P(blue) =

Answers

Answer:

yes

Step-by-step explanation:

Can someone help me out these problems !!!

Answers

Answer:

Zoom in more and I can help

Step-by-step explanation:

To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x

A. The x^2

B. =

C. The - 4x

D. The 9

Answers

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

A birthday hat in the shape of a cone has a diameter of 28cm and a height of 48cm. The radius is?

Answers

Answer:

14

Step-by-step explanation:

the radius is always half the diameter.

but i could be wrong ,beacause im not sure why they gave you the height.

Answer:

Radius is 14 cm

Step-by-step explanation:

To find the radius, you divide the diametre by 2

28 ÷ 2 = 14

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Have a great summer :)

What is the solution to this system?
x - y = 6
y = 2x - 5

Answers

15 I think not sure but aye


Renee has dimes and quarters in her wallet that total $1.60. She has 2 more dimes than quarters.
How many of each coin does Renee have?

Answers

Given:

Renee has dimes and quarters in her wallet that total $1.60.

She has 2 more dimes than quarters.

To find:

The number of each type of coins.

Solution:

Let x be the number of dimes and y be the number of quarters.

She has 2 more dimes than quarters. So,

[tex]x=y+2[/tex]            ...(i)

We know that,

1 dime = $0.10

1 quarter = $0.25

Renee has dimes and quarters in her wallet that total $1.60. So,

[tex]0.10x+0.25y=1.60[/tex]              ...(ii)

From (i) and (ii), we get

[tex]0.10(y+2)+0.25y=1.60[/tex]

[tex]0.10y+0.20+0.25y=1.60[/tex]

[tex]0.35y=1.60-0.20[/tex]

[tex]0.35y=1.40[/tex]

Divide both sides by 0.35.

[tex]y=\dfrac{1.40}{0.35}[/tex]

[tex]y=4[/tex]

Substituting [tex]y=4[/tex] in (i), we get

[tex]x=4+2[/tex]

[tex]x=6[/tex]

Therefore, the number of dimes is 6 and the number of quarters is 4.

write an equation to show the relationship between a and c when a = b + 9 b = c - 2​

Answers

Given:

The equations are:

[tex]a=b+9[/tex]

[tex]b=c-2[/tex]

To find:

The equation that show the relationship between a and c.

Solution:

We have,

[tex]a=b+9[/tex]               ...(i)

[tex]b=c-2[/tex]               ...(ii)

Equation (i) can be rewritten as:

[tex]a-9=b[/tex]              ...(iii)

From (ii) and (iii), we get

[tex]a-9=c-2[/tex]

[tex]a-c=9-2[/tex]

[tex]a-c=7[/tex]

Therefore, the required equation is [tex]a-c=7[/tex].

A ball is dropped from a height of 5m. After each bounce it rises to 35% of its previous height. After how many bounces does the ball reach a Height of less than 50cm?

Answers

Answer:

After the third bounce the ball reaches a height of less than 50cm.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is always the same, and it's called common ratio. The nth term of a geometric sequence is given by:

[tex]A_n = A_0(r)^{n}[/tex]

In which [tex]A_0[/tex] is the first term and r is the common ratio.

A ball is dropped from a height of 5m.

This means that [tex]A_0 = 5[/tex]

After each bounce it rises to 35% of its previous height.

This means that [tex]r = 0.35[/tex]

Thus

[tex]A_n = A_0(r)^{n}[/tex]

[tex]A_n = 5(0.35)^{n}[/tex]

After how many bounces does the ball reach a Height of less than 50cm?

50cm = 0.5m. This is n for which [tex]A_n = 0.5[/tex]. Thus

[tex]A_n = 5(0.35)^{n}[/tex]

[tex]0.5 = 5(0.35)^{n}[/tex]

[tex](0.35)^n = \frac{0.5}{5}[/tex]

[tex](0.35)^n = 0.1[/tex]

[tex]\log{(0.35)^n} = \log{0.1}[/tex]

[tex]n\log{0.35} = \log{0.1}[/tex]

[tex]n = \frac{\log{0.1}}{\log{0.35}}[/tex]

[tex]n = 2.19[/tex]

Rounding up:

After the third bounce the ball reaches a height of less than 50cm.

Describe the general properties of rotations.

Answers

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

Kara and Karl love steak, fried chicken, hamburgers, mashed potatoes, and french fries. They like green beans and peas. How many different meals including a meat, potatoes and a green vegetable can they make from these choices? 8 meals 16 meals a. C. b. 12 meals d. 24 meals​

Answers

Answer:

steak, chicken, and hamburger are meats. 3 meats.

The French fries and mashed potatoes are potatoes. 2 Potatoes.

And Green beans and peas are green vegetables. 2 Vegetables.

I think we just do 3 x 2 x 2 = 12 Meals.

hope that helps bby<3

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode, she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let D(t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds).
Which of the below formulas is the correct function's formula?
A. D(t) = -25t + 160
B. D(t) = 25t + 160
C. D(t) = -25t - 160
D. D(t) = 25t - 160

Answers

Step-by-step explanation:

A. D(t) = -25t + 160

this is the correct answer because if you substitute 3 you get 85

find the complement of 63°​

Answers

Answer:

63=90-63= 27

Bye

I need help asap pls pls pls...

Answers

Answer:

c)

Step-by-step explanation:

please don't trust ;-;

The answer to this question is C. The surface area of a sphere is S=4pi radius square. Where r=20cm so substitute it into the formula and you will get 1600pi cm^2

whats the value of x? -5(x + 7) = -14 + 2x

Answers

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

The diameter of this beach ball is 12 inches.
Apply the formula for the volume of a sphere to
determine how much air it can hold. Use 3.14159 or
the a button on a calculator. Round the answer to the
nearest hundredth.
4
Sphere V = ſ tem
How much air can the beach ball hold?

Answers

Just plugin the numbers you have. For instance, r = radius. We know that the radius is 1/2 of the diameter. Our diameter is 12 so 12 / 2 = 6. With that said, add 6 to where the r is located in the formula and solve the formula.

Solve for V


To solve for V we have to do the following.



The formula above reads V(Volume of air) equals 4 divided by 3 times pi times 6 to the power of 3

Answer:

904.78

Step-by-step explanation:

A pet store has 115 fish that need to be placed into fish tanks. Each tank can hold 6 fish. How many tanks does the store need for the fish?

Answers

Answer:19

Step-by-step explanation: draw the tanks put 6 fish in each tank until you get all 115 in each tank

Plss help me with this equation

Answers

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Answers

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday = [tex]\dfrac58x[/tex]

Remaining distance = [tex]x-\dfrac58 x[/tex]

[tex]=\dfrac38x[/tex]

Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance

= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]

= [tex]\dfrac18 x[/tex]

The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Find the area of the shaded figure. The area is square units (AREA OF COMPOSITE FIGURES)​

Answers

Answer:

28 square units

Step-by-step explanation:

count the middle and edgr squares then u can just put the parts of the square together

need an answer asap will give the first answer brainliest

Answers

Answer:

The answer would be the first one.

m = -3n

Step-by-step explanation:

Answer:

m = -3n

Step-by-step explanation:

-6 = (-3)2  True

-12 = (-3)4  True

-18 = (-3)6  True

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

Answer:

maybe it is corresponding

An icicle is 12 inches long and melts at a rate of 1/4 inch per hour

Answers

Answer:

It will take 48 hours for the entire icicle to melt.

Step-by-step explanation:

12 divided by 1/4 = 48

The linear equation to model the situation is f(x) = -1/4x + 12

Complete question

Write a linear equation in slope-intercept form to model the situation. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour.

How to determine the linear equation?

The given parameters are:

Length = 12 inchesRate = 1/4 inch per hour

The above means that:

Y-intercept (c) = 12Slope (m) = -1/4

A linear equation is represented as:

f(x) = mx + c

Where f(x) represents the function and x represents the number of hours.

So, we have:

f(x) = -1/4x + 12

Hence, the linear equation to model the scenario is f(x) = -1/4x + 12

Read more about rate at:

https://brainly.com/question/4931057

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Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75

Answers

x=2.5!! hope this helps
Answer: x=2.5 , y=0.75

Explanation:

x+y=3.25 => y=3.25-x ——(1)

x-y=1.75 ——(2)

Substitute equation (1) in (2) then,

x-(3.25-x)=1.75

x-3.25+x=1.75

2x-3.25=1.75

2x=1.75+3.25

2x=5

x=5/2=2.5

Substitute vale of x in equation (1) we get

y=3.25-2.5

y=0.75

Therefore, x=2.5 , y=0.75

Any help on this please ?

Answers

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides

The answer is Salt !!

Answers

The answer is nitrogen compounds for this question

Pls help me solve pls show how you got the answer

Answers

Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

ANSWER:

48length units

hope this helps

Which product results in x^2-1

Answers

the answer is d!! hope this helps

hello i give points!



Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.

Answers

Answer:

i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest

the data will also wont have a major difference in them

hope this helps<3

Como se encuentra la mediana?

Answers

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

APQR and ARST are shown.
S
R
R
Р
+
H
440
T
What is m TSR?
mZTSR = [1]

Answers

Answer:

∠ RST = 68°

Step-by-step explanation:

Since RT = ST then the triangle is isosceles with 2 base angles congruent

∠ RST = [tex]\frac{180-44}{2}[/tex] = [tex]\frac{136}{2}[/tex] = 68°

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