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
Mashutka [201]
2 years ago
15

I rlly need help with this :(

Mathematics
1 answer:
kobusy [5.1K]2 years ago
3 0

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 72.6, \sigma = 2.7.

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{74.2 - 72.6}{2.7}

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 72.6}{2.7}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

Z = \frac{X - \mu}{\sigma}

Z = \frac{70 - 72.6}{2.7}

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

You might be interested in
Solve the systems using substitution.<br><br> − 2x − 5y = − 5<br> x = 5y − 20
Law Incorporation [45]
-2(5y-20) - 5y = -5
-10y + 40 - 5y = -5
-15y + 40 = -5
-15y = -45, y = 3
x = 5(3) - 20
x = 15 - 20, x = -5
Solution: x = -5, y = 3... or (-5,3)
7 0
3 years ago
Glenn needs to cut pieces of a lanyard that are each 1 meter long to make lanyard key chains. If he has 3 pieces of lanyard that
Novosadov [1.4K]

Answer:

30

Step-by-step explanation:

3 pieces each 1 dekameter long

1 dekameter = 10 meters

Convert dekameters to meters

3 pieces each 10 meters long

Multiply

Glenn has 30 meters of lanyard

Divide

He can cut 30 1-meter pieces

Hope this helps :)

3 0
3 years ago
The number 321.8 is 34% of x. What is the value of x rounded to the nearest whole number?
Anni [7]

Answer:

946

Step-by-step explanation:

Let's make an equation :

34% of x = 321.8

Covert 34% into decimal by dividing by 100 :

34 ÷ 100 = 0.34

Rewrite equation with decimal form :

0.34x = 321.8

Divide both sides by x to make x the subject :

x = 321.8 ÷0.34

x = 946.470588235

To the nearest whole number will be 946 as 4 rounds it down

So our final answer will be 946

Hope this helped and have a good day

7 0
2 years ago
Read 2 more answers
Let f(x) = 1/x. Find a number b so that the average rate of change of f on the interval
Bezzdna [24]

Answer:

huh try multiplying

Step-by-step explanation:

6 0
3 years ago
Find the value of X?
Molodets [167]

Answer:

x = 58

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

90  = 32+x

Subtract 32 from each side

90-32 = x

58 =x

5 0
3 years ago
Other questions:
  • Select the two pairs of figures that are similar.
    10·2 answers
  • Let f(x)=4x^2+5.<br> The g(x) is f(x) translated up 4 units.<br><br> What is the equation of g(x)
    5·1 answer
  • Write 102,800,000 in scientific notation
    9·2 answers
  • The shortest side of triangle ABC is half of the second side and a third of the longest side. How does the perimeter of the tria
    5·1 answer
  • !!20 POINTS!!<br> Find AC
    10·2 answers
  • A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was th
    13·2 answers
  • Type the correct answer in the box. Use numerals instead of words.
    10·1 answer
  • in a certain school of 200 students ,the students can study french,spanish,,both or neither . Just as many study both as study n
    9·1 answer
  • Henry buys
    14·1 answer
  • A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inc
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!