1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adoni [48]
3 years ago
12

A survey found that​ women's heights are normally distributed with mean 63.7 . And standard deviation 3.7 . The survey also foun

d that​ men's heights are normally distributed with mean 67.5. And standard deviation 3.7. Consider an executive jet that seats six with a doorway height of 56.4. Complete parts​ (a) through​ (c) below.
Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Complete question :

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 3.7 in. The survey also found that men's heights are normally distributed with mean 69.3 in and standard deviation 3.7 in. Consider an executive jet that seats six with a doorway height of 55.7 in.

1-What percentage of adult men can fit through the door without bending?

2-) Does the door design with a height of 56.35in. appear to be adequate? Why didn't the engineers design a larger door? Choose answer below

A. The door design is inadequate, because every person needs to be able to get into the aircraft without bending. There is no reason why this should not be implemented.

B. The door design is adequate, because the majority of people will be able to fit without bending. Thus, a larger door is not needed.

C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

D. The door design is adequate, because although many men will not be able to fit without bending, most women will be able to fit without bending. Thus, a larger door is not needed.

Answer:

A.) 0.135%

B.) C. The door design is inadequate, but because the jet is relatively small and seats only six people, a much higher door would require major changes in the design and cost of the jet, making a larger height not practical.

C.)

Step-by-step explanation:

Percentage of adult men that can fit the door without bending :

Obtain the Zscore :

Mean height of men, m = 67.5

Standard deviation, s = 3.7

Zscore = (x - m) / s ; where x = 56.4

Zscore = (56.4 - 67.5) / 3.7

Zscore = - 11.1 / 3.7

Zscore = - 3

P(Z < - 3) = 0.0013499 (Z probability calculator)

P(Z < - 3) = 0.0013499 * 100% = 0.13499%

You might be interested in
Analyze the following pattern 1,2,5,10,7
vodka [1.7K]

Answer:

an + 1 = an + 2n -1 ,a 1=1

a8= 50

Step-by-step explanation:

an+1=an+2n-1,a1=1

a6=a5+2x5-1

a6=26

a7=26+11

a7=37

a8=37+13

a8=50

6 0
3 years ago
Adam found a bag of money that he split with 22 friends.
olasank [31]

Answer:

x/23

Step-by-step explanation:

The bag of money can be represented by x

Adam is 1 person.

1 + 22 = 23

x is divided by 23

x/23

~ Zoe

6 0
3 years ago
I'm looking at the top at 79.9 angle. I'm 100ft away. What's the height of the building?
Anni [7]
To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.

1. Write the formula

tan(a) = y ÷ x

2. Rewrite to include the known values.

tan(79.9) = y ÷ 100

3. Solve for the unknown variable, y.

tan(79.9) × 100 = y ÷ 100 × 100

tan(79.9) × 100 = y

4. A fancy step that I call the "flip flop."

y = tan(79.9) × 100

5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).

y = 561.3968

6. Round the number as is appropriate for this problem.

Have a great day!

7 0
3 years ago
Read 2 more answers
A chemist recorded the change in temperature of a cooling liquid as −25.5°f over a 1.5 minute period. the temperature fell at a
sineoko [7]
Rate of change <span>a </span>rate<span> that describes how one quantity </span>changes<span> in relation to another quantity. It is also called the slope. To calculate the rate of change in temperature, we use the expression:

Rate of change = change in temperature / change in time
</span>Rate of change = -25.5 / 1.5
Rate of change = -17 °C / min

The negative sign signifies a drop in temperature per minute.
4 0
3 years ago
Read 2 more answers
$40 is discounted into $32 what is the percent decrease
Sphinxa [80]
About 28.5 percent is the decrease I hope this helps :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Are two regular hexagons always congruent?
    11·1 answer
  • What is the product of (2p+7)(3p^2 +4p-3)
    6·1 answer
  • Given the following equation of an exponential function determine the decay rate.
    6·1 answer
  • Which of the following is a like radical to 3x square root 5?
    10·1 answer
  • your friend claims that if a line has a slope that is less than 1, then any line perpendicular to it must have a positive slope.
    6·1 answer
  • Convert 100yd = __ ft<br>​
    12·2 answers
  • Which fractions are closer to 0 than 1? Check all that apply.
    7·2 answers
  • HELPPPMEEE
    14·1 answer
  • Evan is building a fort for his pet Bearded Dragon. He uses a total of 300
    11·1 answer
  • TU ⟂ ST and WX ⟂ VW. Prove that ∠STU≅∠VWX.<br> Statements Reasons
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!