A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which statement must be true? z37 is within 1 standard deviation of the mean. Z37 is between 1 and 2 standard deviations of the mean. Z37 is between 2 and 3 standard deviations of the mean. Z37 is more than 3 standard deviations of the mean.

Answers

Answer 1

The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A supervisor finds the mean number of miles that the employees in a department live from work.

μ = 29 and σ = 3.6

Z-37

Then we have

[tex]\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22[/tex]

Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

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Answer 2

Answer:

ITS C

Step-by-step explanation:


Related Questions

Percentage profit formula ?​

Answers

Answer:

When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.

Step-by-step explanation:

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What is the best approximation for the circumstance of a circle with a radius of 18 ft?
Use 3.14 to approximate pi.

A. 21.1 ft
B. 36 ft
C. 56.5 ft
D. 113.04 ft​

Answers

Answer: 113.04 ft

Step-by-step explanation:

C = 2πrC = 2x18x3.14

C=113.04

QUICK whoever gives correct answer will get brainliest please and thank you.​

Answers

Step-by-step explanation:

d. the light become bri--

Answer:

a i think hope i help

Step-by-step explanation:

Waylon is typing a paper for keyboarding class. He has typed 648 words in 8 minutes. He types at the same rate each minute. Which equation represents the number of words (w) Waylon can type in m minutes?

Answers

Answer:

that is the correct answer

Please help me please please please help

Answers

i wouldn’t really know, sorry... just commenting for more answers

Pip, David and Bridget share £60 in a ratio 1:2:2. How much money does each person get?
Pip:
£

David:
£

Bridget:
£

Answers

Answer:

12

Step-by-step explanation:

3 person, devide total budget by 5, each person's share would be £12

Two sides of the rectangle differ by 3. 5 cm find the dimension of the rectangle if its perimetre is 67cm

Answers

Answer:

Step-by-step explanation:

Two sides of the rectangle differ by 3.5 cm means that one side is 3.5 cm more than the other side.

If width = x cm, then length = x + 3.5

Perimeter = 67 m

2*(length +width) = 67

2*(x + 3.5 + x) = 67

2*(2x + 3.5)  = 67

2*2x + 2*3.5 = 67

4x  + 7   = 67

       4x = 67 - 7

       4x = 60

         x = 60/4

x = 15 cm

Width = 15 cm

Length = 15 + 3.5

           = 18.5 cm

in the adjoining figure AOC is a straight line find 'y'​

Answers

Since AOC is a straight line, it measures at an 180 degree angle. This means that the angles on the line have to add up to 180.

Therefore, we could do 5y + 30 = 180 (Adding all the angles: y + 4y)

We would then solve it as a two-step equation

5y + 30 = 180

1. + 30 - 30 = 0

2. 180 - 30 = 150

3.
5y divided by 5 = y
150 divided by 5 = 30

y = 30

All in all, the value of y is 30. We can also check our work by substituting in the value of y

30 + 30 + 4(30) = 180

30 + 30 + 120 = 180

This equation is true so therefore, the value of y is 30.

Answer:

30°

Step-by-step explanation:

y+30° +4y =180° (angles on a straight line equal 180°)

5y+30° =180°

5y= 180° - 30°

5y = 150°

divide both sides by 5

5y/5 = 150/5

y= 30°

(07. 01)How many solutions can be found for the equation 4x = 4x? Zero One Two Infinitely many.

Answers

The given equation have infinitely solution.

we have given that equation 4x=4x

What are the condition for solution no solution one solution infinite solution?

Zero solution:-No solution would mean that there is no answer to the equation

One solution:-There is only one value for the variable that makes the equation true.

Two solution:-A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real.

infinitely solution:- Infinite solutions would mean that any value for the variable would make the equation true.(x=x)

Given equation have infinitely many solution because there are so many different ways that can be found.

Therefore we have the given equation have infinitely solution

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i really don tunderstand what is going on forreal ts tripping me out

Answers

Answer:

What do you mean why are you tripping out.

Step-by-step explanation:

Please tell the answer

Answers

Answer:

18 Answer

Step-by-step explanation:

.: PQ +RQ

= 7+11

= 18

In Martha's pet store 3/6 of the mice were white, 2/6 of the mice were black, and 1/6 of the mice were brown. What fraction of the mice were black or white?

Answers

Add black and white together:

3/6 + 2/6 = 5/6


Answer: 5/6

HELP ITS MAKING ME DO ANOTHER ONE

Answers

Answer:

Since we know that each of the three triplets are the same age we can put next to n, 3.

And given that another child is 14 years old we can put that next to the "+" sign.

In total, it would equal 32, so put the 32 after the equal sign.

It should look like this:

3n + 14 = 32

But now they want us to solve for the triplet's ages, so we just solve for n;

3n + 14 = 32

-14          -14

3n = 18

/3     /3

n = 6, the triplet's ages are 6 years old each.

There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard deviation was 1. 6. The margin of error, assuming a 95% confidence level, is approximately. Round to the nearest hundredth.

Answers

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

What is the margin of error?

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]

[tex]\text{MOE}[/tex] = margin of error

[tex]\gamma[/tex] = confidence level

[tex]z_{\gamma}[/tex] = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742[/tex]

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

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how many lines of symmetry does this shape have ???

Answers

Answer:

1 is the answer. Have a great day!!!

Answer:

1

Step-by-step explanation:

You can only split it diagonally without unevenly splitting it.

how do i solve this

Answers

Check the picture below.

pls helppp
What is the scale factor of this dilation?​

Answers

Answer:

B. 1 1/2

Step-by-step explanation:

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Answer: Choice B)  1 & 1/2

Explanation:

Divide the horizontal sides to get

image/preimage = B'C'/BC = 15/10 = 1.5 = 1 & 1/2

This says that the larger image's side lengths are 1.5 = 1 & 1/2 times that of the corresponding preimage side lengths.

Which of these scatter plots show evidence of a positive association between the variables a negative association? Which do not appear to sow an association? Match the graph to the correct explanation

Answers

Answer:

A) negative strong correlation B ) negative weak correlation C) no relationship

Step-by-step explanation:

draw a line if these points gather around a line there is a relationship . since the slope will be negative by drawing a straight . Line in the A and B graphs , we according to the will see if it is week and strong according point distribution that will have a negative correlation .C for ) dots scattered no relationship

Solve for x. Round to the nearest hundredth.
17
18°
х X
what trigonometric function would you use to find x?
O Cosine
Sine
Tangent
O Secant
O Cosecant

Answers

Answer:

5

Step-by-step explanation:

like i dont know probably 5 its kinda weird. it definitely has to be 5

A business owner opens one store in town A. The equation p(x) = 10,000(1.075)' represents the anticipated profit aft-
t years. The business owner opens a store in town B six months later and predicts the profit from that store to increas
at the same rate. Assume that the initial profit from the store in town B is the same as the initial profit from the store ir
town A. At any time after both stores have opened, how does the profit from the store in town B compare with the pro
from the store in town A?
a
O 65%
O 96%
104%
154%
Mark this and retium

Answers

Answer:

96%

Step-by-step explanation:

he rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both

store A and store B follow the same equations but t is different for them, you can right: Store A: pA (t)  10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

This means that the profit of store B is about 96%of  the profit of store A at any time after both stores have opened.

identify two situations in which a person or business might use probability to make a decision

Answers

Answer:

two situations in which a person or business might use probability to make a decision

1.  Weather Forecasting

2.  Sales Forecasting

explanation

Weather Forecasting : the individual might question themselves about what the weather is gonna look like the day . is it gonna rain ? should I bring an umbrella ? should i take the car to work just incase it starts raining , or should I walk on foot and enjoy the hot sun?

Many retailers use probability to forecast the possibility of selling a specific amount of products on a given day, week, or month. This allows companies to forecast how much stock they will require in the future. A company, for example, may use a forecast model that claims it has a 90% chance of selling at least 100 items on a given day. To avoid running out of items to sell, keep at least 100 (preferably more) on hand at all times.

Find the circumference of the circle. You must show all work to get full credit. Don't forget to label your answer. Round to the nearest hundredth.

Answers

Answer:

The circumference is 26.38 yards

Step-by-step explanation:

The formula for finding the circumference of a circle is 2π(r). 2 times pi times the radius. We see that the radius is 4.2 yards, so we plug 4.2 into the variable labeled "r"

2 (3.14) (4.2) = 26.376

26.376 rounded to the hundredths place is 26.38

Hola there !

Answer is in attachment ; let me know if you have any doubts

Please help with this question!

Answers

I can not see the last option but I think it’s A

What is 360 divided by 9

Answers

The correct answer is 40.

The value of the quotient of 360 divided by 9 is 40.

What is division?

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given:

A phrase: 360 divided by 9.

To find the quotient:

360 divided by 9;

360 ÷ 9,

Here,

The factors of 360 = 2 x 3 x 3 x 3 x 3 x 5

And the factors of 9 = 3 x 3.

The GCF of 360 and 9 is 9.

So, the quotient will be a whole number.

360/9

= 40

Therefore, the value of the quotient is 40.

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A ball has a diameter of 6 inches. A smaller ball has a radius of 2 inches. What is the approximate difference between the volume of the two balls

Answers

The difference between the volumes is 79.55 cubic inches.

What is the difference between the volumes?

The volume of a sphere of radius R is:

[tex]V = (4/3)*3.14*R^3[/tex]

Here we have two spheres, the larger has a diameter of 6 inches, so its radius is:

R = 6in/2 = 3in

The smaller ball has a radius of 2 in.

Then the difference between the volumes is:

[tex]V = (4/3)*3.14*( (3in)^3 - (2in)^3) = 79.55 in^3[/tex]

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Solve the following system of equations.

Answers

Answer:

n= -6, a= 5

Step-by-step explanation:

Label the two equations:

a= -2n -7 -----(1)

-3a +n= -21 -----(2)

Substitute (1) into (2):

-3(-2n -7) +n= -21

Expand:

-3(-2n) -3(-7) +n= -21

6n +21 +n= -21

Simplify, minus 21 on both sides:

7n= -21 -21

7n= -42

Divide both sides by 7:

n= -42 ÷7

n= -6

Substitute n= -6 into (1):

a= -2(-6) -7

a= 12 -7

a= 5

Jennifer has 78 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Jennifer

the garden with greatest area? The diagrams are not to scale.​

Answers

Answer:

a

Step-by-step explanation:

Let's go through each answer choice.

The formula for Area of a rectangle is [tex]A=l*w[/tex]

a.

[tex]A=l*w=19*20=380\ ft^2[/tex]

b.

[tex]A=l*w=17*22=374\ ft^2[/tex]

c.

[tex]A=l*w=21*18=378\ ft^2[/tex]

d.

[tex]A=l*w=23*16=368\ ft^2[/tex]

Upon evaluation of each answer choice, we can conclude:

[tex]380 > 378 > 374 > 368[/tex]

Therefore the answer is a.

find the mode of 8,6,7,9,7,0,2,3,5,7,8,9,6,9​

Answers

Answer:

7 and 9

Step-by-step explanation:

both 7 and 9 occur 3 times in this sequence of numerals, thus resulting in a bimodal solution

An angle measures 18° less than the measure of its supplementary angle. What is the
measure of each angle?

Answers

Answer:

81

Step-by-step explanation:

as x+y is 180

- x-y is 18

2x is 198

x is 99

180-99 is 81

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x+26)^{\circ}∠A=(2x+26)

and m\angle B=(x+25)^{\circ}∠B=(x+25)

, then find the measure of \angle B∠B

Answers

we know angles A and B are supplementary, thus their sum is 180°.

[tex]\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}[/tex]

The measure of angle m∠B = 112°

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 2x+26 ) + ( x+25 ) = 180

Now we can combine like terms and apply the operations to find the value of x:

⇒ ( 2x+26 ) + ( x+25 ) = 180

⇒ 3x + 51 = 180

⇒ 3x  = 180 - 51

⇒ 3x  = 129

⇒ x = 129/3

⇒ x = 43

Then Angle B will have a measure of x+25 = 43 + 25 = 68°

m∠ B = 112°

The measure of Angle A will be :2x+26  = 2(43) + 26 = 112°

m∠A = 68°

Thus, the measure of angle m∠B = 112°

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