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
barxatty [35]
2 years ago
10

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance

of 145,924. If he is correct, what is the probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
Mathematics
1 answer:
stiv31 [10]2 years ago
3 0

Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

Sample size (n) = 40

Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878

= 0.36878

You might be interested in
56% of ___ is 84.<br> Explain your method.
AnnyKZ [126]
150% of 84 i believe lol .
8 0
3 years ago
Read 2 more answers
Jason watched a caterpillar move 16 feet in 8 minutes. Jason says that the caterpillar's unit rate is 0.5 foot per minute. Is Ja
MrRa [10]

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}

3 0
3 years ago
The sum of Veronika's and Kate's weight is 118 pounds. Veronika weighs 26 pounds more than Kate. How much do they weigh individu
Ray Of Light [21]

Answer:

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

Step-by-step explanation:

Let Veronika's weight = x

Let Kate's weight = y

The sum of Veronika's and Kate's weight is 118 pounds.

x + y = 118

Veronika weighs 26 pounds more than Kate.

x = y + 26

How much do they weigh individually?

We substitute y + 26 for x in Equation 1

x + y = 118

y + 26 + y = 118

26 + 2y = 118

2y = 118 - 26

2y = 92

y = 92/2

y = 46 pounds

x = y + 26

x = 46 + 26

x = 92 pounds

Hence,

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

8 0
2 years ago
Ramesh simple machine wheel and axle efficiency is 80%​
Genrish500 [490]

Answer:

Step-by-step explanation:

7 0
3 years ago
A coach buys a uniform and a basketball for each of the 15 players on the team. Each basketball costs $9.00. The coach spends $4
Mnenie [13.5K]
Call u the cost per uniform.

Since each of the 15 players gets one uniform and one basketball, we can make the following equation:

15u + 15(9) = 420

Solve this equation to get u=285/15= $19
6 0
3 years ago
Other questions:
  • answer asap please!!!!!A recipe requires 3/8 cup of sugar for each cup of flower used. If a baker uses 10 cups of flower, what i
    11·2 answers
  • Indicate the equation of the given line in standard form.
    11·1 answer
  • The sum of two numbers is 4. If the smaller number is twice the value of the larger number. What are the two numbers?
    5·1 answer
  • Estimate the sum by rounding each mixed number to the nearest half or whole number.
    10·1 answer
  • Which property does each equation demonstrate? x2 + 2x = 2x + x2 (3z4 + 2z3) – (2z4 + z3) = z4 + z3 (2x2 + 7x) + (2y2 + 6y) = (2
    5·1 answer
  • I need help ASAP please
    11·2 answers
  • Henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry
    7·1 answer
  • 8^15÷8^−3 it needs to like this 43^5 I can't find out the answer
    9·2 answers
  • Use the distributive property to remove the parentheses?<br><br> -8(-4w-3v+6)
    10·1 answer
  • Find the distance between points S(−2,4) and T(3,9). Round your answer to the nearest tenth.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!