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

A package of 5 pairs of insulated gloves costs $33.95. What is the unit price of the pairs of gloves?

Answers

Answer:

6.79

Step-by-step explanation:

Divide the number of whatever you have, by the price of it in total to find the unit price.

Answer:

$6.79 per pair

Step-by-step explanation:

1. Divide

33.95/5

2. Simplify

33.95/5=$6.79

any luck of help? I'll brainlist uu promise . I really need it for correction :)

Answers

Answer:

the cist of entry for x adults

Answer:

i think it would be d)

Step-by-step explanation:

cuz like, it says to write an expression. for an expression, most of the time you need more than one like number and variable

hope this helped :)

find the equation of the line shown

Answers

Answer:

y=2x

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

y intercept = 0

slope = rise/run

rise = 2

run = 1

2/1=2

slope is 2

what is the value of the expression 12 - k
if k = (-3)

Answers

Answer:

15

Step-by-step explanation:

12-k

12- (-3)

12+3

=15

Answer:

15

Step-by-step explanation:

Substitute the variable, "k" into "12-k" from the equation "k=(-3).

12-k

12-(-3)

12+3---> two negatives make a positive

15

Ryan and two of his friends contribute $8.33 each, to buy a baseball bat from a sports shop. Find
the price of the baseball bat.

Answers

Answer:

24.99

Step-by-step explanation:

The price of the baseball bat is $24.99 :)

Choose the stems that would be used to create a stem-and-leaf plot from this data: 28, 32, 38, 30, 31, 13, 36 35, 38, 32, 38, 15, 13, 24

Answers

Answer:

Step-by-step explanation:

3

Answer:

The best stems would be: 1, 2, and 3

Step-by-step explanation:

When you are making the stem and leaf plots, you are using the diget in the tens place as the stem

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x " #50 cm and x " )50 cm. The charge densities on the planes are #50nC/m2 and )25 nC/m2 , respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x " )80 cm? (Hint: Use Gauss’ law.)

Answers

Two uniformly charged, infinite, nonconducting planes are parallel to a yz plane and positioned at x = -50 cm and x = +50 cm. The charge densities on the planes are -50 nC/m² and +25 nC/m², respectively. What is the magnitude of the potential difference between the origin and the point on the x axis at x = +80 cm? (Hint:Use Gauss’ law.)

Answer:

ΔV = 2520 V

Step-by-step explanation:

We are given;

Charge density 1; σ1 = -50 nC/m² = -50 × 10^(-9) nC/m²

Charge density 2; σ2 = +25 nC/m² = +25 × 10^(-9) nC/m²

Now, formula for electric field strength is;

E = -(½ε)(|σ1| ± |σ2|)

ε is vacuum permittivity with a constant value as 8.85 × 10^(−12) C²/N.m²

|σ1| and |σ2| means we are taking the absolute values and would therefore not use the negative sign attached to them.

Now, in between x = 0 cm(0 m) and 50 cm (0.5 m), electric field generated by both charge densities would be in the same direction and thus;

E_in = -(½ε)(|σ1| + |σ2|)

E_in = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) + (25 × 10^(-9))]

E_in = -4200 V/m

In contrast, when x ≥ 50 cm (0.5 m), electric field generated by both charge densities would be in opposite directions and thus;

E_out = -(½ε)(|σ1| - |σ2|)

E_out = -(½ × 8.85 × 10^(−12)) × [(50 × 10^(-9)) - (25 × 10^(-9))]

E_out = 1400 V/m

The magnitude of the potential difference from the origin to x = 80 cm(0.8 m) is calculated as attached;

From the attachment, we see that;

ΔV = 2520 V

The density of gold is 19.3 grams per cubic centimeter. Rachel determines that the density of a coin is 18.7 grams per cubic centimeter. Based on this evidence, she concludes that the coin is not gold or at least not entirely gold. Is this an example of inductive or deductive reasoning?​

Answers

Answer:

The reasoning is  a deductive.

  The reason is because the pattern of  thought is logical, here, scientific methods ( i.e mathematically obtaining and comparing the density of the coin and the  gold ) are used to support the conclusion.

Step-by-step explanation:

Gnerally the reasoning is  a deductive.

  The reason is because the pattern of  thought is logical and scientific methods (eg mathematical equation (formula for density)) are applied to arrive at the  conclusion.

What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?

Answers

Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

4 more than one third of a number n is 6. An equation is? The solution is n =?

Answers

Answer:

 [tex]\frac{1}{3}[/tex]n  + 4  = 6  

6

Step-by-step explanation:

Given problem:

      4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number  = ?

Solution:

 let the number  = n

So, 4 more than one third of a number;

  One third of n = [tex]\frac{1}{3}[/tex]n

  4 more;

                [tex]\frac{1}{3}[/tex]n  + 4

   is 6;

             [tex]\frac{1}{3}[/tex]n  + 4  = 6   (equation of the expression)

Let us now solve the equation:

                         [tex]\frac{1}{3}[/tex]n  + 4  = 6  

                    [tex]\frac{1}{3}[/tex]n = 6 - 4

                   [tex]\frac{1}{3}[/tex]n = 2

                     n = 6

3. Combine terms: 12a + 26b -4b – 16a.

(a) 4a + 22b,

(b) -28a + 30b,

(c) -4a + 22b,

(d) 28a + 30b.

Ok this was the hardest to answer....

Answers

Answer:

C

Step-by-step explanation:

Add 12a + -16a

Add 26 + -4b

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.

Answers

Answer:

100 miles

Step-by-step explanation:

Let the number of miles driven = x

Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.

$55 + $0.25x

55 + 0.25x

For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.

$45 + $0.35x

45 + 0.35x

Equation :

55 + 0.25x = 45 + 0.35x

The number of miles for which the companies’ charges will be the same is calculated as:

55 + 0.25x = 45 + 0.35x

Collect like terms

55 - 45 = 0.35x - 0.25x

10 = 0.10x

x = 10/0.10

x = 100 miles

The number of miles for which the companies’ charges will be the same is

100 miles.

a rectangular television's length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?
A. 23
B. 24
C. 25
D. 26
can someone explain bc I got small brain ykyk

Answers

Answer: A. 23

23 - Width

23x2 = 46

46+3 = 49

So..

49 - Length

lx2+wx2 = perimeter

49x2 = 98

23x2 = 46

98+46 = 144

The width of the television will be 23 inches. Then the correct option is A.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular television is 3 inches longer than its width. The display has a 144-inch perimeter. Then the equation is given below.

L = 2W + 3                  ...1

144 = 2(L + W)            ...2

From equations 1 and 2, then have

144 = 2(2W + 3 + W)

72 = 3W + 3

3W = 69

W = 23 inches

The width of the television will be 23 inches. Then the correct option is A.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2


Part A
What is the slope of the line?
A. - 1 / 2
B. -2
C.
D. 2
Part B
Conner says the graph shows that water is flowing at a rat of 2 gallons per minute. Is he correct? Use the drop-down menus to explain your answer

Conner (choose...) correct answer because the rate of the water flowing is (choose...) the slope. Water is flowing at a rate that is (choose...) 2 gallons per minute.

Answers

Answer:

2

Step-by-step explanation:

The 2 points are (2,1) and (4,2) so you have to do rise over run by doing y2-y1 divided by x2-x1 which will give you 2

Help me please.

Write a ratio expressing the slope of the line passing through (5,7) and (-3,-2).

Answers

Answer:

9/8

Step-by-step explanation:

change in y/change in x= slope

so in this case -9/-8 or 9/8 bc the negatives cancel out

PLEASE HELP! 50 points!
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.

The graph represents which system of inequalities?
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3

Answers

Answer:

C. y ≤ −3x + 2 . Not sure, but I'm kind of confident in my answer.

Multi-step Equations
5) 5n + 34 = -2(1 - 7n)

Answers

n = 4

Distribute -2 so -2(1 - 7n) = -2 + 14n
Add 2 to each side 5n + 36 = 14n
Subtract 5n from each side 36 = 9n
Divide each side by 9 so 4 = n

Answer:

4

Step-by-step explanation:

if you do all the steps right you  should get 4

Which best represents the change in the vertices of rectangle ABCD to form rectangle A'B'C'D'?
F) (x, y ) → (2x, 2y)
G) (x, y ) → (1.5x, 1.5y)
H) (x, y ) → (3x, 3y)
J) (x, y ) → (4x, 4y)

Answers

Answer:

F

Step-by-step explanation:

I’ll give the Brainliest.

Answers

Answer:

1.w+15=165

2.w equals 165 multiplied by 15

Step-by-step explanation:

There's really no step-by-step explanation  its pretty simple.

{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent​

Answers

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = {5}^{10} \div {5}^{7} [/tex]

[tex] = {5}^{3} [/tex]

Find the maximum value of the function f(x) = -x^2 + 3x +2

Answers

Answer:

4.25

Step-by-step explanation:

-x^2 + 3x + 2 = 0

Divide by -1

X^2 -3x - 2 = 0

x^2-3x+ =2+2.25

(x-1.25)-4.25

(x-1.5)

A quarterback dropped back 5 yards behind the lone of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel? (Write an equation to represent this problem)

Answers

Answer:

9 yards

Step-by-step explanation:

-5 + 14 = 9

what percentage is equal to 32/100 ​

Answers

32% I would guess ? :)

Answer:

32%

Step-by-step explanation:

32/100 is 32%


Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.

Answers

Answer:

37: 36

Step-by-step explanation:

You can not simplify. Have a good day!

what’s the first step?

Answers

Multiply 4 and x and 4 and 4

Answer:

It's correct answer

Step 1: Multiply 4 times x then 4 times 4

Step-by-step explanation:

2x
Y=——— solve for a
a + 2b

Answers

Answer:

y= 2b

Step-by-step explanation:

a +2b

so make a the subjects of formular

a= 2b

Can someone please help me this question. It’s due today I will appreciate it .

Answers

49
You have a line on the right crossed by two other lines the line means 180 degree up degree is 131 which means the other line has same degree
So now u need outer angle so 180-131=49

8. What is the result of (11x + 18i)(117 - 18i)?

Answers

1287x + 342 +(-198x + 2106) i

Find the distance between the 2 planes to the nearest tenth.

Answers

Answer:

In this formula, a, b, c and d are the coefficients of the equation describing one of the planes and x1, y1 and z1 are the coordinates of a point in the other plane. The format for the equation of the plane is ax + by + cz + d = 0. If the planes are not parallel, the distance is zero.

Step-by-step explanation:

Answer:

About 22

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

M= 1/2
M= 2
M= -1/2
M=-2

Answers

Answer:

It should be 1/2

Step-by-step explanation:

the slope is =1/2 so the first option
Other Questions
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