13

A survey found that women heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of military requires women heights to be between 58 in and 80 in

13A Survey Found That Women Heights Are Normally Distributed With Mean 63.6 In And Standard Deviation

Answers

Answer 1

Answer:

See below:)

Step-by-step explanation:

a)

mean = 63.6 , s.d = 2.5. We need to compute Pr(58 <= X <= 80)

The corresponding z-values needed to be computed

z1 = (58 - 63.6)/2.5 = -2.24

z2 = (80 - 63.6)/2.5 = 6.56

Therefore, we get:

Pr(58 <= X <= 80) = Pr( (58 - 63.6)/2.5 <= Z <= (80-63.6)/2.5 ) = Pr(-2.24 <= Z <= 6.56)

= 1 - 0.0125 = 0.9875

98.75 % of the women meet the requirements,Hence not too many women are being denied the opportunity to join this branch of the millitary.

b)

z value for lower 1% = -2.3263

corresponding x value = 63.6 - (2.5X2.3263) = 57.78

Z value for upper 2% = 2.0537

corresponding x value = 63.6 + (2.5X2.0537) = 68.73

The new height requirements is between 57.78 and 68.73 inch


Related Questions

Triangle B is a scale image of Triangle A as shown. Find the base of Triangle A in centimeters. Show your work. (please help! ive been stuck on this for a while!)​

Answers

Answer:

? = 13

Step-by-step explanation:

40.5/9 = 4.5

9 x 4.5 = 40.5

X x 4.5 = 58.5

4.5X = 58.5

4.5X/4.5 = 58.5/4.5

x = 13

Answer:

13

Step-by-step explanation:

We are given the sides of one of the triangles. If you take 9/40.5, you get .2222222. We can then use that to find the base. If you take 58.5, multiply it by .22222, you get 13!

Please help me with this homework

Answers

Answer:

The third one

y+1=-2(x-3)

Step-by-step explanation:

Solve y+1=-2(x-3)

y+1=-2(x-3) becomes y=-2x+5

Then just graph it.

What are the vertices of the image r(90,0) (BCD)

Answers

A. B'(-3, -3), C'(-1, 4), D'(2, 0)

Adrian had $848.25 in his account when he deposited m $20 bills and p dimes. Choose the
expression that represents the amount in his account after the deposit.
(ANSWER FAST PLEASE)

Answers

Answer:

Second option

Step-by-step explanation:

It's subtraction

Answer:

A

Step-by-step explanation:

All of the points in the graph are on the same line. Find the slope of the line.

Answers

Answer:

Step-by-step explanation:

take (1,3) and (9,7)

slope=(7-3)/(9-1)=4/8=1/2

Which is a related multiplication fact for 18 ÷ = 6

A. 18 ÷ 2 = 9
B. 6 x 3 = 18
C. 18 - 12 = 6
D. 6 x 4 = 24

Answers

Answer:

B. 6 × 3 = 18

Step-by-step explanation:

18 ÷ ? = 6

18 ÷ 6 = ?

3 = ?

So 18 ÷ 3 = 6 and 6 × 3 = 18

What i can do: Solve each problem.

Answer this question on the photo

30 points​

Answers

Answer:

1/3, 1 4/9, 9 8/15

Step-by-step explanation:

1. 2/6 simplified: 1/3
2. 1 4/9
3. 9 8/15

hope
it helps

A $22 item has been marked up 15%. What is the new price?

Answers

Answer:

The new price is $25.30.

22x0.15= 3.3.

22+3.3= 25.30

Step-by-step explanation:

hope this helps :)

HELP T_T
i crown u brainiest

Answers

Answer:

x=8

Step-by-step explanation:

9(8)+12= 84 which makes the other angel of the traingle 96. 7(8)+6 is equal to 62. Adding 62 with 22 and 96 gives you 180, making the traingle complete. Hope this helps :)

Answer:

x = 8

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

9x + 12 is an exterior angle of the triangle , then

9x + 12 = 7x + 6 + 22

9x + 12 = 7x + 28 ( subtract 7x from both sides )

2x + 12 = 28 ( subtract 12 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Algebra 1 Midterm 2021-2022
Consider the equation 1.5x +4.5y = 18. If we graph the equation, where does the graph intersect the y-axis?
4
1.5
12
18

Answers

The answer would be 4! All I did was use a calculator to graph it and it showed

Terence biked 9 16 of the distance to school in 1 3 hour. If he maintains the same rate, what is the total amount of time he will take to get to school? Step 1: 9 16 ÷ 1 3 = t Step 2: 16 9 · 1 3 = t Step 3: 16 24 = t Step 4: 2 3 hour will be the time taken to get to school.

Answers

Answer:

2

Step-by-step explanation:

How do you solve multi step equations (ik how to do) but with the variables and doing distributive property? I know to start you distribute parenthesis but after that I kinda get lost. Explain it by using an example equation and go deep into explanation and you will totally get brainiest!!

Answers

Answer:

Let's say we have this equation, for example⤵⤵⤵:

[tex]12 - 6(x + 10) = 60[/tex]

You obviously know that first you must distribute -6 amongst everything inside the parenthesis, and that will give you -6x - 60. Then you'd rewrite the equation with this in mind, to get

12 - 6x - 60 = 60

Next, you need to combine the like terms, in this case 12 and -60, to get -48. Now you have

-6x - 48 = 60

Afterwards, you'd do the opposite of -48 and add it on both sides of the equal sign. Now you'll have -6x = 108

Finally, you'd divide -6 on both sides, in order to get x by itself, to get x = -18

Hopefully, this example/explanation helps you understand the concept better :)

What is the answer to the equation 3=the square root of b-1

Answers

Answer:

B= 2

Step-by-step explanation:

Solve, if you please.

Answers

Answer:

1 does not represent a function, but 2 and 3 do

Step-by-step explanation:

1 is not a function because there are multiple points, with the same x value. 2 and 3 are functions because there are not multiple points with the same x value

help me pls its geometry

Answers

Answer:

The first answer is segment bisector

Describe the rotational symmetry or symmetries of the figure.

Answers

Answer:

A) 180º

Step-by-step explanation:

i wont be symmetric at 90º or 270º or 120º or 240º. and it has rotational symmetry

The percent change from 45 to 90 is

Answers

A change from 45 to 90 represents a positive change (increase) of 100%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old|Old| × 100%

Percent change = 90 - 45|45| × 100% =

4545 × 100 = 100% (increase)

Where: 45 is the old value and 90 is the new value. In this case we have a positive change (increase) of 100 percent because the new value is greater than the old value.

The roots of the quadratic function describing the relationship between number of
products produced and overall profit margin are x = 0 and 28. The vertex is a minimum
at (14, -40)
The company actually loses money on their first few products as it costs them more to
make them, but once they hit items they break even again.
The worst case scenario is that they produce items, as they will have a profit of
dollars. The first root tells us that the profit will be 0 when products are
sold.

Answers

The 3 by the 4 will equal twenty four if you jump off a cliff

The number of students in a school is between 500 and 600. If we group them into groups of 12, 20, or 36 each, 7 students are always left over. How many students are in this school?

Answers

Add hen subtract then multiply then do the average and u should get 57 students are in the school

There are 547 students in this school.

How did we arrive at the value?

Let's solve this problem step by step.

1. We know that the number of students is between 500 and 600 and leaves a remainder of 7 when divided by 12, 20, or 36.

2. To find the number of students, we need to find a number that satisfies all these conditions.

3. Let's start by finding the least common multiple (LCM) of 12, 20, and 36, which is 180.

4. Now, we can represent the number of students as 180n + 7, where n is a positive integer.

5. To find a value of n that falls within the range of 500 to 600, we can try different values for n until we get a suitable number.

Let's calculate:

For n = 3: 180 * 3 + 7 = 547 (Within the range)

For n = 4: 180 * 4 + 7 = 727 (Exceeds the range)

So, there are 547 students in this school.

learn more about LCM: https://brainly.com/question/16054958

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help please and thank you, I'll mark u brainly

Answers

f(x)=80 and g(x)=45. 80-45=35 so f(x) is 35 more greater than g(x)

Find the value or expression for 0.
1. sin(55) = cos( )
2. sin ( ) = cos(28)
3. cos(y) = sin( )

Answers

Using complementary angles, it is found that the values for the expressions are given as follows:

1. sin(55) = cos(35).

2. sin (62) = cos(28).

3. cos(y) = sin(90 - y).

What are complementary angles?


Two angles are called complementary if the sum of their measures is of 90º; If two angles are complementary, the sine of one is the cosine of the other.

Hence, since 55 + 35 = 62 + 28 = 90, we have that the values are given as follows:

1. sin(55) = cos(35).

2. sin (62) = cos(28).

3. cos(y) = sin(90 - y).

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Find the area and perimeter.​

Answers

Answer: 1/7

Step-by-step explanation: 1/7 is the answer

Simplify ∑=2 =n+1 ( + 4)

Answers

Step-by-step explanation:

Did you mean

[tex] = \sum \limits_{n = 2}^{4} (n + 1)[/tex]

[tex] = (2 + 1) + (3 + 1) + (4 + 1)[/tex]

[tex] = 3 + 4 + 5[/tex]

[tex] = 12[/tex]

SOMONE EXPLAIN CALCULUS TO MEEEE

Answers

Answer:

Calculus is when you make that amount of time tinier and tinier and tinier, and that makes the distance tinier and tinier and tinier too, so that, at that moment, the tiny distance divided by the tiny time is 31 miles per hour, but a second later it might be 30 mph or 32 mph or something else.

Step-by-step explanation:

[tex]⇒[/tex]

Calculus is a branch of mathematics that involves the study of rates of change. ... Calculus helped to determine how particles, stars, and matter actually move and change in real time. Calculus is used in a multitude of fields that you wouldn't ordinarily think would make use of its concepts.

Categories

It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns accumulation of quantities, and areas under or between curves.

Round the following numbers to the nearest 100. 468 1350 6849​

Answers

The solution is, rounding off the numbers to the nearest 100. 468 1350 6849​, is: 500, 1300, 6800.

What is round off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, we have,

given that,

the numbers are 468, 1350, 6849​

now, we have to Round the following numbers to the nearest 100.

To round a number to the nearest 100, look at the tens digit. If the tens digit is 5 or more, round up. If the tens digit is 4 or less, round down.

so, we get,

468 => 6>5, so, 468 =>500  

1350 => 35 < 50, so 1350 => 1300

6849​ => 4<5 , so , 6849=> 6800

Hence, The solution is, rounding off the numbers to the nearest 100. 468 1350 6849​, is: 500, 1300, 6800.

To learn more on round off click:

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An isosceles triangle has an angle that measures 80°. Which other angles could be in that isosceles triangle? 50° 20° 70° 80°

Answers

Answer: 80 and 20

Step-by-step explanation:

the sides of a triangle need to add up to 180 80+80+20=180

The ratio of forks to spoons in the cafeteria is 15:6. If there are 45 forks, how many utensils are there altogether?

Answers

Answer:

15/6 = 45/x

18 = x,

45 + 18 = 63 utensils

Approximately how much does it cost an average two-parent, two-child family to raise a child to age 17

Answers

100,000$+ it can range from

Which is greater a bottle containing 64 fluid ounces or a bottle containing two liters of water?

Answers

It would be two liters of water

Answer:

sure the bottle of 2 liters is greater but just a little. the 64 oz are equal as 1.89 liters

Describe a rigid transformation that takes Polygon to Polygon .

Answers

Answer:

If you mean moving a shape like sliding, then it would be a translation.

Answer:

below

Step-by-step explanation:

Rigid transformation will keep the size and shape of the original object after transformation. It has 3 basic types : rotation, translation, reflection and any combination of 3 types.

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