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
Ganezh [65]
3 years ago
12

An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1

71lb. The new population of pilots has normally distributed weights with a mean of 137lb and a standard deviation of 28.9lb. If a pilot is randomly selected find the probability that his weight is between 130lb and 171lb​
Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

You might be interested in
A party rental company has chairs and tables to rent. The total cost for 3 chairs and 2 tables is $25. To rent 5 chairs and 6 ta
vlabodo [156]
5 and 6 is 65 and 3 and 2 is 25 so I would say add 65 and 25
5 0
3 years ago
C.is decrease by 1 foot every 500 miles D. Is decrease by 1 foot every 1000 miles
Tasya [4]

Answer:

Option A

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

Line shown in the graph is passing through two points (2, 8000) and (4, 7000).

Therefore, slope of the given line = \frac{8000-7000}{2-4}

                                                        = -500 feet per mile

Which means, altitude decreases by 500 ft every mile.

(Negative sign represents the decrease)

Option A is the correct option.

4 0
2 years ago
Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
Archy [21]

Answer:

20% of the money was saved from January.

Here is the way to find percentage.

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then:  divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

<u>Step-by-step explanation:</u>


5 0
3 years ago
Read 2 more answers
What are the steps to solving this limit?
patriot [66]

Answer:

lim(x---->0) = -5

Step-by-step explanation:

first: sin(x-π/2)= -cosx

so the equation will be :

lim(x---->0) = [-6cos(ax)-1}/cosx

solve :

lim(x---->0) =  [-(6cos(a(0))-1}/cos(0)

cos0=1

lim(x---->0)=(-(6(1)-1)/1

lim(x---->0)=-6+1/1

lim(x---->0)=-5

6 0
3 years ago
Read 2 more answers
Neighborhood block:
katen-ka-za [31]

Answer:

<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times Bijan run around the neighborhood block = 20

Total distance Bijan run = 8 miles

Length of the block = 3/20 = 0.15 miles

2. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.

Let's find the perimeter of the neighborhood block and the width, this way:

A. Rule of Three Direct for find the perimeter:

Laps              Distance

20                   8 miles

1                       x miles

x * 20 = 8

20x = 8

x = 8/20

x = 2/5 or 0.4 miles

B. Formula of the perimeter to find the width

Perimeter = 2 Length + 2 Width

Replacing with the real values we know:

0.4 = 2 * 0.15 + 2w

0.4 = 0.3 + 2w

0.4 - 0.3 = 2w

0.1 = 2w

w = 0.1/2

w = 0.05 miles

<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the sum 3/5 plus 1/2
    10·1 answer
  • B.Imagine you are 1 of the people who left the luncheon with a contagious disease and interacted with an average of 9 different
    15·1 answer
  • I need help on this question.
    6·2 answers
  • Y+1 = 1/2 (x-6) solve for y in simplest form
    10·2 answers
  • T-4t2+ 2t3 what is the degree of the polynomial
    7·1 answer
  • -5(5a – 2) +14 need help
    14·1 answer
  • Asociologist is studying influences on family size. He finds pairs of sisters, both of whom are married, and determines for each
    10·1 answer
  • Will give brainliest if correct.
    11·1 answer
  • Construct an accurate copy of triangle DEF. Check that EF = 4.6 cm. ​
    7·1 answer
  • Umm please help me wit this problem.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!