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
choli [55]
3 years ago
6

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean

is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time is less than 7.6 hours.
Mathematics
2 answers:
Nana76 [90]3 years ago
8 0

Answer: 0.0026

Step-by-step explanation:

Given: Mean : \mu=8.4\text{ hours}

Standard Deviation : \sigma = 1.8\text{ hours}

Sample size : n=40

Formula to calculate z-score :-

z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For X=7.6 hours.

z=\dfrac{7.6-8.4}{\dfrac{1.8}{\sqrt{40}}}=-2.81091347571\approx-2.8

P(X

Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026

MissTica3 years ago
5 0

The probability that their mean rebuild time is less than 7.6 hours is 0.0026

<h3>Explanation: </h3>

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time is less than 7.6 hours.

The Chevrolet Cavalier is the line of small cars produced for the model years 1982 until 2005 by Chevrolet. Mechanics is the physics area concerned with the motions of macroscopic objects. The mean is the number average. To calculate we add up all the numbers then divide by how many numbers there are. In other words it is the sum divided by the count.

\mu = 8.4 hours

\sigma = 1.8 hours

n=40

z = \frac{Xbar -\mu}{\frac{\sigma}{\sqrt{r} } }  = \frac{7.6-8.4}{\frac{1.8}{\sqrt{40} } } = -2.81

Therefore the value of  Xbar < 7.6 hours. from the standard normal table is 0.0026

Hence, the probability that their mean rebuild time is less than 7.6 hours is  0.0026  = 0.26%.

Learn more about mean rebuild time brainly.com/question/13544358

#LearnWithBrainly

You might be interested in
In myrtle beach, the maximum height off the water a parasailor can be is 500 feet. I the rope is 800 feet long, about how many f
Julli [10]

Answer:

624.5 feet

Step-by-step explanation:

Calculation to determine how many feet from the boat is the parasailor

Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula

a²+b²=c²

First step is to plug in the formula by substituting the given value

500²+b²=800²

Second step is to evaluate the exponent

250,000+b²=640,000

Third step is to substract 250,000 from both side and simplify

250,000+b²-250,000=640,000-250,000

b²=390,000

Now let determine how many feet from the boat is the parasailor

Parasailor feet=√b²

Parasailor feet=√390,000

Parasailor feet=b=624.49

Parasailor feet=b=624.5 feet (Approximately)

Therefore how many feet from the boat is the parasailor will be 624.5 feet

8 0
3 years ago
Suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?
Elenna [48]

By definition of conditional probability,

P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}\implies P(B\cap A)=0.2\cdot0.9=0.18

Similarly,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.18}{0.3}=0.6

6 0
3 years ago
How to breakdown fraction
Tamiku [17]
Divide it by 2, since you can make it into a half.
7 0
3 years ago
Read 2 more answers
Carson buys eggs and lemons at the store. he pays a total of $39.62. he pays $6.74 for the eggs. he buys 8 bags of lemons that e
Nikolay [14]

The algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74

According to the question,

Cost of 1 bag of lemons = $x

Cost of 8 bags of lemons = 8*x = 8x

Cost of 8 bags of lemons = Total cost - cost of the egg

8x = $39.62 - $6.74

Hence, the algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74.

Learn more about algebraic equation here

brainly.com/question/22163226

#SPJ4

8 0
2 years ago
paper costs $1.50, which inequality is used to find how many rolls of paper could be purchased with less than $12?
Usimov [2.4K]

Answer:

1.50x < 12 (the inequality would just be "less than")

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A big lockers above a smaller locker they both have 0.5 m wide and 0.6 m deep Big lockers 1.2 m tall and small lockers half of t
    11·2 answers
  • A multiple must be greater than or equal to the largest starting number. True or False
    8·1 answer
  • PLEASE HELP ASSAAAPPP (:
    13·1 answer
  • Which number line shows the solution to the inequality 4x+ 5 &gt; 9​
    15·1 answer
  • Write your answer in simplest radical form​
    15·1 answer
  • The graph represents function 1 and the equation represents function 2:
    6·1 answer
  • Please help, my brain just sucks rn. The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in.
    9·1 answer
  • Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a
    7·1 answer
  • Merry christmas! my teachers gave me work. ill be happy if u help
    10·1 answer
  • Sarah took out a $30,000 loan for 11 years at a 4.7% interest rate to put a new pool in her backyard. If
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!