Engineers want to design seats in commercial aircraft so that they are wide enough to fit 98% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in.. Find P98. That is, find the hip breadth for men that separates the smallest 98% from the largest 2

Answers

Answer 1

Answer:

P98 = 16.154in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.0 in.

This means that [tex]\mu = 14.4, \sigma = 1[/tex]

Find P98

This is the 98th percentile, that is, X when Z has a pvalue of 0.98, so X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 14.1}{1}[/tex]

[tex]X = 2.054 + 14.1[/tex]

[tex]X = 16.154[/tex]

So

P98 = 16.154in


Related Questions

Which mixed number is represented by the shaded
area?

Answers

The answer is 1 1/4

Answer:

One in one quarter or A

Step-by-step explanation:

Hope this helps and have a great day :)

a chef bought 6 5/9 pounds of carrots

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don’t open the link, but you need to post more info for me to answer the question!
i don't understand the question

An animal rescue facility currently has several animals ready for adoption. The

the facility has 80 dogs, 25 cats, and 15 various animals (like ferrets, snakes, etc.).

A) Write the ratio of cats to total animals in the shelter?

B) Write the ratio of dogs to cats?

Answers

Answer:

a) 3.8:1

b) 3.2:1

Step-by-step explanation:

80+15=95

95/25=3.8

80/25=3.2

Answer:

A) 3.8:1

B) 3.2:1

Step-by-step explanation:

I need the answers and explanation please ill mark brainliest ​

Answers

Answer:

(from top row to bottom row, left to right) 4, 32, 128, 12, 24, 96

Step-by-step explanation:

So, the first pair in the table would be 2/3 (club soda to grape juice). You can use that pair, or in other mathematical terms fraction, to generate other fractions equivalent to it, such as 4/6, 8/12, and 16/24 (those are some of the fractions in the table btw :D).

Hope this helped :D

(and have a great day/afternoon/night!!)  

will someone please help me? I will give brainliest

Answers

Answer:

A, E

Step-by-step explanation:

We can use rules of fractions and negatives to determine that B, C, and D are incorrect and A and E are correct.

Lisa is saving money to buy a game. The game costs $36, and so far she has saved three-fourths of this cost. How much money has Lisa saved?

Answers

36 multiplied by (3/4) is 27 dollars
3/4 = 0.75
36x0.75= $27
Can I get brainliest

Where are my smart friends?? I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? ​

Answers

Answer:

im ur smart friend

Step-by-step explanation:

370.00 plus 150.00 equals to 520.00

520.00 plus another 150.00 equals to 670.00

670.00 plus 100.00 equals to 770.00

770.00 plus 30.00 equals to $800.00 total

Answer: $800 total

Answer: it says had so its $400

Step-by-step explanation:

Its 370+30=400

Use the figure to find the measures of the numbered angles, help! 7,8,9

Answers

Answer:

7. 1- 107° 2- 73°

8. 3- 95° 4- 85°

9. 5- 49° 6- 131°

What is the value of the expression shown below?
6 + (9 - 1)to the power of 2 divided by 4 * (1/2)to the power of 4

Answers

Answer:

7

Step-by-step explanation:

6+((((9-1)/4*((1/2)^4))

Find the suggested determinants. Given [A] = [5 -4 3 -3]. Find the determinant of [A].

Answers

Answer:

-3

Step-by-step explanation:

For a 2 by 2 matrices such as B =  [a b c d], the determinant is expressed as;

ad - bc

Given the matrices

[A] = [5 -4 3 -3]

Determinant of A  = 5 (-3) - -4(3) (if you compare with the original matrices)

Determinant of A  = -15 + 12

Determinant of A  =-3

Hence the Determinant of A  is -3

Help me out please!!!!!!!!

Answers

Answer:

its d

Step-by-step explanation:

it so easy it say it on the chart

HELP ME PLEASE ITS FOR MY NEXT YEARS CLASS
A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following changes to the way the park land is used.

Clearing dead trees and shrubs would allow for 37.51 square meters of additional grassy area.
Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
Updating and expanding the playground would reduce the grassy area by 54.19 square meters.
How many square meters of grassy area would the park have if all of the community group's proposals were applied?

A.
66.02 square meters
B.
95.85 square meters
C.
216.06 square meters
D.
249.42 square meters

Answers

Answer: they would have 216.06 square meters of grassy area left in the park

Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)

Which statement best describes how to create the graph below from parent function? Help please

Answers

Answer:

D

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

A P E X

Juanita spent $24.50 on each of her gran children at the fair how much money did Juanita spend in total if she has 6 grandchildren

Answers

Answer:

$147

Step-by-step explanation:

she has 6 Gran children

Spends $24.50 on each

on six children $24.50. multiplied by 6

Please help I will give points

Answers

Answer:

1/32

Step-by-step explanation:

...

The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?​

Answers

Answer:

2014 price was $49,091

Step-by-step explanation:

I'm assuming you want to solve for 2014 year price...

2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...

p×110%=54,000

p=54,000/1.1

p=49,090.90

50 POINTS AND BRAINLIEST PLEASE HELP!! I HAVE 20 MINUTES LEFT ONLY RIGHT ANSWERS OR NO BRAINLIEST!!!!!

What type of conflict does Sacha experience

Person vs self
Person vs person
person vs society
person vs nature​​

Answers

Answer:

person vs self

Step-by-step explanation:

What is the height of a rectangle with a perimeter of 152.8 mm and base
length of 72.2 mm?

Answers

Answer:
4.2

Step:
P=2( base+height)
152.8= 2*72.2 + 2(height)
152.8-144.4 = 2* h
h = 8.4/2= 4.2

help please i will award brainliest

Answers

Answer:

D 826.80

Step-by-step explanation:

Answer:

$780.00

Step-by-step explanation:

just add 420+360= $780.00

A rectangle has 2 sides that are 23 meters and 2 sides that are 19 m. What is the rectangle’s perimeter?
Group of answer choices

Answers

Answer: 84 meters

Step-by-step explanation:

Add the sides together. 23+23=46

then add 19+19=38 the total perimeter is 46+38= 84 meter's

highest common factor of 12, 16 wnd 48​

Answers

Highest Common factor of 12, 16 and 48 is 4

Answer:

highest common factor of 12, 16 and 48 is 4.

Is (3,10) a solution of y > 5x-8?Explain why or why not

Answers

Answer:

yes

Step-by-step explanation:

10 > 5(3) - 8

10> 15-8

10> 7

Solve this equation. Enter your answer in thE box

-5/6e -2/3e = -24

Please help me

Answers

Answer:

e=16

Step-by-step explanation:

PLEASE HELP I AM BEGGING YOU GUYS!!!!!!!!!!!!!!!! I WILL GFIVE BRAINLIEST AND EXTRE POINTS!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 11

2. 1

3.  Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis

4.According to the identity property of multiplication, the product of any number multiplied by 1 is the number itself. ... Therefore, 14 × 1= 14 illustrates the Multiplicative identity. According to the identity property of addition, the sum of any number added to 0 is the number itself.

Step-by-step explanation:

Answer:

1.   Commutative property

2.  Multiplicative Inverse Property

3.  4x5x2 and (5x2)x4

4.  32x1=32

5.  41

6.  43

7.  16

8.  72

9.  2 (3 x + 20)

10. 3 (5 x - 1)

I hope these are all right (´:

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

Answers

Answer:

[tex]-3x^2 -7x + 2[/tex]

Step-by-step explanation:

Given

[tex]-2x(x + 3) - (x+1)(x - 2)[/tex]

Required

Solve

Open brackets

[tex]-2x^2 -6x - (x^2-2x + x - 2)[/tex]

[tex]-2x^2 -6x - x^2-2x + x + 2[/tex]

Collect like terms

[tex]- x^2-2x^2 -6x -2x + x + 2[/tex]

[tex]-3x^2 -7x + 2[/tex]

What’s the slope
Can someone please help 20 points!!

Answers

The slope of the line is: y= 2x+2

Answer:

2

Step-by-step explanation:

tbh I just graphed it on desmos and used rise over run

Five friends equally shared half of one large pizza and 1/4 of another large pizza. What fraction of each pizza did each friend get? How do the two amounts compare to each other?

Answers

Answer:

Step-by-step explanation:

1/2 divide by 5= 1/10

1/4 divide by 5=  1/20                              so    1/10 is also 2/20+1/20=3/20

so the answer is 3/20 of a pizza

3 . Based on the histogram above, how are the data distributed, and where is the mean located in relation to the median?


A. Negatively skewed, and the mean is to the left of the median

B. Positively skewed, and the mean is to the right of the median.

C. Negatively skewed, and the mean is to the right of the median.

D. Positively skewed, and the mean is to the left of the median.

Please help branliest to correct answer

Answers

D is the correct answer

The given histogram is Negatively skewed, and the mean is to the right of the median.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

For a symmetric histogram, the values of the mean, median, and mode are all the same and are all located at the center of the distribution.

A negatively skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left tail of the distribution graph is longer

The data distributed where is the mean located in relation to the median is to the right side.

Hence, the given histogram is Negatively skewed, and the mean is to the right of the median.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ5

Fill in the blank. In the triangle below, x =
decimal places.
Round your answer to two

Answers

Answer:

x = 44.80

Step-by-step explanation:

Apply trigonometric function to find x.

Reference angle = 52°

Opposite side to reference angle = x

Adjacent side = 35

Apply TOA:

Tan 52° = Opp/Adj

Tan 52 = x/35

35 × Tan 52 = x

44.7979571 = x

x = 44.80 (to 2 decimal places)

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I dont know for sure but i think its 5 or 4 feet

It’s 4 ,3 is half of 6 and 5 is half of 10 and 4 is half of 8. They just cut them in half
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