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
creativ13 [48]
3 years ago
10

A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will

last less than 10 years? (2 points)
0.621%
6.21%
93.79%
99.379%
Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0
Due to the common probability formula I can solve that task. Refering to the task you gave, we have all the information we need. We solve it like that: \frac{10-12}{0.8} = -2.5; Probability(-2.5)=.0.00621; Probability = 0.621%
So the answer is the first option <span>0.621%</span>
Alecsey [184]3 years ago
3 0

Standard Deviation = A = 0.8

Mean = 12 years

We will use normal distribution to calculate probability.

Let a Random variable  Z , has A = 0.8, and M= 12 years.

Probability that a car will be able to last < 10 years= P(Z<10)

= P[\frac{Z-M}{A}

Pr (Z < -5/2) = 0.00621[ By using standard table]

= 0.00621 ×100

=0.621%→ Option A .

 

You might be interested in
The equation | - 251 = 3 can be used to determine the maximum and minimum
nalin [4]

Answer:

thanks for the free answer

Step-by-step explanation:sucks to suck

8 0
3 years ago
ILL MARK BRAINLIESTTTTT
zaharov [31]

Answer:

0.075 inches per year

Step-by-step explanation:

The average rate of change is measured as

( difference in diameter ) ÷ ( difference in years )

= ( 251 - 248 ) ÷ ( 2005 - 1965 )

= 3 inches ÷ 40 years

= 0.075 inches per year

7 0
2 years ago
Alice wants to put wall-to-wall carpeting in a small room with the floor plan shown.
AURORKA [14]
I found the complete problem. 

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h 
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5 
A = 11.25 * 5 
A = 56.25 sq. ft

Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5 
A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

3 0
3 years ago
Ill give brainliest and 25 points to whoever makes me laugh
sergejj [24]

Answer:

Sorry mam Bin laden is not in the mood of joke today hope jeff bezus would do that for you

5 0
3 years ago
Read 2 more answers
The United States Marine Corps is reviewing its orders for uniforms because it has a surplus of uniforms for tall men recruits a
Vlad [161]

Answer:

69.7 -2.58 \frac{2.8}{\sqrt{772}}=69.44

69.7 +2.58 \frac{2.8}{\sqrt{772}}=69.96

And we can conclude that the true mean for the heights of mens between the ages of 18 to 24 is between 69.44 and 69.7 inches.

Step-by-step explanation:

For this case we have the following sample size n =772 from men recruits between the ages of 18 to 24

\bar X= 69.7 represent the sample mean for the heigth

\sigma=2.8 represent the population standard deviation

We want to construct a confidence interval for the true mean and we can use the following formula:

\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

The confidence level is 0.99 or 99%o then the significance level is 0.01 and \alpha/2 =0.005 and if we find for a critical value in the normal tandar ddistirbution who accumulates 0.005 of the area on each tail we got:

z_{\alpha/2}= 2.58

And replacing we got:

69.7 -2.58 \frac{2.8}{\sqrt{772}}=69.44

69.7 +2.58 \frac{2.8}{\sqrt{772}}=69.96

And we can conclude that the true mean for the heights of mens between the ages of 18 to 24 is between 69.44 and 69.7 inches.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of r? 1.9r+0.1r=0.6 Enter your answer as a decimal in the box. r =
    8·1 answer
  • If a = 4 and b = 2, what is the value of the following expression?
    9·2 answers
  • Which problem could be solved with the expression 32 divided (3+1)
    15·1 answer
  • Identify the real and imaginary parts of the complex number. -5 + 6i
    15·1 answer
  • A golf ball is hit in not the air represented by the equation y= -3x^2+18x+45. The maximum height the ball will reach is____ fee
    9·1 answer
  • Write an algebraic expression for the phrase. The quotient of 5 and the sum of 12 and a number x
    7·1 answer
  • Immediate help needed !!!!!!!! plz help me !!!! with this question​
    11·1 answer
  • Kareem sells homegrown vegetables at the farmers market. She charges three dollars per pound of tomatoes and four dollars per po
    13·2 answers
  • Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of
    10·1 answer
  • For the data in the table, write an equation for the direct variation.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!