A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest​ 50% of men and the shortest​ 5% of​ men, what are the new height​ requirements?

Answers

Answer 1

Answer:

The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches

Step-by-step explanation:

To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.

For significance value of 0.5, z = 0

We are given;

μ = 68.3 in

σ = 2.5 in

Thus from z = (x - μ)/σ, we have;

0 =(x - 68. 3)/2.5

0 = x - 68. 3

x = 68.3 inches for men max

Similarly, for significance value of 0.05, z = -1.645

Thus to find x;

-1.645 = (x - 68. 3)/2.5

-4.1125 = x - 68.3

x = 68.3 - 4.1125

x = 64.1875 inches for men min


Related Questions

Idk the rest to the table someone please help!

Answers

Answers:
1. 6
2. 2
3. -2
4. -6

Explanation:
Just plug in the X #’s into the equation and multiply them by -4 and add 2 and you’ll get the correct answers!

Does anyone else have the answer to tan

Answers

Answer:

What??

Step-by-step explanation:

No, sorry.

But I can try to help you.

what is the domain or range of y = one-fourth x minus 6

Answers

Answer:

domain and range will be ( negative infinity, positive infinity

please quickly

4(1-x)+2x=-3(x+1)

Answers

X = -7 you can just look this up too

Answer:  x = −7

Step-by-step explanation:

Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?

Bus A runs every 6 mins
Bus B runs every 8 mins

What bus can she catch and what time?

Answers

Answer:

every 8 mins

Step-by-step explanation:

bus b

A box of Cookies original cost $2. 15. It is on sale for 15% off. What is the cost of the cookies after discount ?

Answers

Answer:

$1.83

Step-by-step explanation:

$2.15 (original price of cookies) - 15% (discount) = $1.83 (rounded since the original total was: 1.8275)

Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.

The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos

Answers

ml
ml
L.
Your welcome.

Given the function y=2x , which function represents a translation to the right of 4 units?

Answers

Answer:

A  function represents a translation to the right of 4 units is y=2(x-4)

Step-by-step explanation:

We are given a function: [tex]y=2x[/tex]

We are supposed to find  function represents a translation to the right of 4 units

Rule: f(x)→f(x-c)

When the graph is shifted to right by c units then f(x)→f(x-c)

Function y = f(x)=2x

After a translation to the right of 4 units using rule

f(x-4)=2(x-4)

So, A  function represents a translation to the right of 4 units is y=2(x-4)

Which equation has a constant of proportionality equal to 999? Choose 1 answer: Choose 1 answer: (Choice A) A y=\dfrac{81}{3}xy= 3 81 ​ xy, equals, start fraction, 81, divided by, 3, end fraction, x (Choice B) B y=9xy=9xy, equals, 9, x (Choice C, Checked) C y=3xy=3xy, equals, 3, x (Choice D) D y=\dfrac{1}{9}xy= 9 1 ​ x

Answers

Answer:

Option (D) is correct

Step-by-step explanation:

If y is a multiple of x and versa, it will have a constant of proportionality.

Option (A)

y = (81/3)xy

y will cancel out

1=27x

It is not correct

Option (B)

y=9xy

y will cancel out

1=9x

Option (C)

y=3xy

y will cancel out

1=3x

Option (D)

y = (1/9) x

y will cancel out

x=9y

In option (D), we see that x is 9 times of x. It means it has constant of proportionality equal to 9.

The equation y = 9x represents the constant of proportionality which is equal to 9.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation can also be used to represent direct proportionality as -

y = mx

m = y/x

[m] is called constant of proportionality

We have the constant of proportionality equal to 9

The equation y = 9x represents the constant of proportionality which is equal to 9 as when compared with y = mx, we get m = 9.

Therefore, the equation y = 9x represents the constant of proportionality which is equal to 9.

To solve more questions on straight lines, visit the link below-

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Solve the problem. Give the equation using x as the variable, and give the answer.
The product of 8, and a number increased by 7, is 112. What is the number?
The equation is
(Do not simplify.)
The number is
(Simplify your answer.)

Answers

Answer:

The equation is     8x+7=112

Step-by-step explanation:

the answer is 13.125

this is what i got. i am sorry if it is wrong.

It part of a Law of Exponents

Answers

i think its c but im not sure??

Multiply the polynomials (3x+4)(5x+1)

Answers

Answer:

15x^2 + 23x + 4

Step-by-step explanation:

(3x+4)(5x+1)

You put them around a square, like in the picture.

You then cross multiply them.

After that, add all the numbers together.

Hope this helped!

What is the equation of the line that passes through the point (-3, 5) with a slope of 4?
y=4-7
O y-4x+17
O y= 4x+12
O y=47-17
o y = 4x+2

Answers

Answer:

y=4x+17

Step-by-step explanation:

y-b=m(x-a)

y-5=4(x--3)

y-5=4(x+3)

y-5=4x+12

y=4x+17

The sum of two numbers is x. If one of the numbers is 12, what is the other?

a. 12 x
b. 12 - x
c. 12 + x
d. x - 12

Answers

Answer:

D

Step-by-step explanation:

The question states that the sum of two numbers is x, and they give us one number which is 12. We know that 12 + 12x cannot equal x. We also know that 12 + 12 + x = x will cancel out the variable. Then, we can eliminate B, as the questions stated that the sum of two numbers is x, and they gave us one number of x. We know that the other number will be the unknown value minus 12, because 12 + x - 12 = x will simplify into x = x, which is true.

I think the answer is d

value of the 6 in 36,282.563?

Answers

Answer:

6,000 or 6 hundredths

Step-by-step explanation:

Admission to a museum of natural history is 12.00 for adults and 6.00 for children. On a particular, day 500 people attend the museum. The museum collects 5,160 in admission

Answers

Answer:

Adult Admission: 215 Tickets $1,290

Child Admission: 385 Tickets $3,870

Step-by-step explanation:

Child:

5,160÷4=1,290

1,290÷6=215

Adult:

500-215=385

5,160-1,290=3,870

A line graph titled Meals per Day has number of days on the x-axis, and number of meals prepared on the y-axis. At 5 days there are 30 meals prepared; at 10 days, 60 meals; at 15 days, 90 meals; at 20 days, 120 meals.
Use proportional reasoning to find the constant of proportionality for the relationship shown on the graph.

Answers

Answer:

6

Step-by-step explanation:

30 meals ÷ 5 days = 6

60 meals ÷ 10 days = 6

90 meals ÷ 15 days = 6

120 meals ÷ 20 days = 6

Constant of proportionality is 6.

y = kx

y = 6x

Answer:

*6=answer

Step-by-step explanation:

5*6=30

10*6=60

etc

Hello there! Can someone help me with this and give me an expalination? I kinda get it but I still need a bit of help! And please provide the answer after your explaintion!

Answers

Well so the equation to find an area of a circle is 3.14r^2 so it would be 3.14 x 12x12 which equals 452.16. Hope this helps

Gina tracks the low temperatures for a city over six days. Identify the days colder than-1.75°F. Monday Tuesday Wednesday Thursday Friday -2.5°F -1.9°F 0°F -1.5°F 0.5°F

Answers

Answer:

Monday

Tuesday

Step-by-step explanation:

Given the temperature data:

Mon _____ Tue _____ Wed _____ Thur ___ Fri

-2.5°F ___ - 1.9°F _____ 0°F _____ - 1.5°F _0.5°F

Days colder than - 1.75°F

Days colder than - 1.75°F are days whereby the temperature value is less than - 1.75

Hence,

-2.5°F < - 1.75°F = (Monday)

-1.9°F < - 1.75°F = (Tuesday)

Hence, temperature on Monday and Tuesday is colder than - 1.75°F

Answer:

Monday

Tuesday

Step-by-step explanation:

Write y - 4 = 1 ( x - 4) in slope intercept form.

Answers

Answer:

y=x

Step-by-step explanation:

First, distribute the 1 to the x and -4. Both of these when multiplied by one equal their original value, leaving you with y-4=x-4.

Then, to isolate the y, you add 4 to both sides. This leaves you with simply y=x.

If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3

Answers

[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]

2. The Length of a rectangle is (x+5) and the area
x²+7x+10. What is the width ?

Answers

Answer:

Step-by-step explanation:

(x+5)(x+2)/(x+5)= x+2 is the with

-2(39% + **)+(855 + 2K)

Answers

Answer:

42711 /50

Step-by-step explanation:

Solve for v.
42 =3v- 15
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

42=3v-15

We move all terms to the left:

42-(3v-15)=0

We get rid of parentheses

-3v+15+42=0

We add all the numbers together, and all the variables

-3v+57=0

We move all terms containing v to the left, all other terms to the right

-3v=-57

v=-57/-3

v=+19

Answer:

v= +19

Step-by-step explanation:

You are given a rectangular sheet of metal that is 32 inches by 24 inches. You are required to cut a lenght from each corner of the sheet so that you may fold up the ends and create a box. What is the domain of the function you will use to find the volume of the box? Explain your answer.

Answers

Answer: 768

Explanation In order to find the domain you have to multiple 32 by 24 which gives you 768.

The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units

Answers

V= 5 x 4^2 + 5 x 4
V= 5 x 16 + 20
V= 80+ 20
V= 100
Answer is C 100 cubic units

The volume of box at x = 4 is, 100 cubic units

What is mean by Cuboid?

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

We have to given that;

The volume of the box is modeled by the function,

⇒ V (x) = 5x² + 5x

Now, At x = 4;

The volume of the box is,

⇒ V (x) = 5x² + 5x

⇒ V (4) = 5 × 4² + 5 × 4

⇒ V (4) = 5 × 16 + 20

⇒ V (4) = 80 + 20

⇒ V (4) = 100 cubic units

Learn more about the cuboid visit:

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gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?

Answers

the answer is 5 dimes and 1 nickel.

hope this helps <3

Answer:

4 = dimes and 2 = five cents

Step-by-step explanation:

Please help.



What is the solution to this system of equations?
3x + y = 17
x + 2y = 49
A.
It has no solution.
B.
It has infinite solutions.
C.
It has a single solution: x = 15, y = 17.
D.
It has a single solution: x = -3, y = 26.

Answers

Answer:

B. It has infinite solutions.

I believe so

1/4 x 3
(in fraction form please)

Answers

Answer:

3/4

Step-by-step explanation:

1/4 x 3/1 = 3/4

Every whole number has a /1 under it! So when multiplying you do 1/4 x 3/1.

If you are confused, basically all you do is multiply 1 and 3 (numerators) then 4 and 1 (denominators)

The multiplication of 1/4 and 3 comes to be 3/4.

We know that every number has 1 in its denominator.

So, [tex]\frac{1}{4} *3[/tex] can be written as [tex]\frac{1}{4} *\frac{3}{1}[/tex]

How multiplication of two fractions take place?

To multiply two fractions, multiply the numerator of the first fraction to the numerator of the second fraction followed by multiplication of the denominator of the first fraction to the denominator of the second fraction.

So, [tex]\frac{1}{4} *\frac{3}{1} = \frac{1*3}{4*1}[/tex]

[tex]\frac{1}{4} *\frac{3}{1} = \frac{3}{4}[/tex]

So, multiplication of 1/4 and 3 = 3/4

Therefore, the multiplication of 1/4 and 3 comes to be 3/4.

To get more about fractions visit:

https://brainly.com/question/78672

Lisa and two friends shop at a bookstore. they each choose a book and share the cost equally among the 3 of them the total cost of the books is $27:00

A. create an equation that models the situation, using c to represent how much in dollars each person pays
B. how much does each person pay

Answers

Answer:

27/3=9 the answer is nine

Step-by-step explanation:

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