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
alisha [4.7K]
3 years ago
13

In a sample of 700 gas​ stations, the mean price for regular gasoline at the pump was $2.894 per gallon and the standard deviati

on was ​$0.009 per gallon. A random sample of size 55 is drawn from this population. What is the probability that the mean price per gallon is less than ​$​2.892?
Mathematics
1 answer:
frez [133]3 years ago
3 0

Answer:

P(x < 2.892) = 4.36\%

Step-by-step explanation:

Given

N = 700 --- Population

\mu = 2.894 -- Mean

\sigma = 0.009 --- Standard deviation

n = 55 -- Sample

Required: P(x < 2.892)

This question will be solved using the finite correction factor

First, calculated the z score

z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}

z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}

z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}

z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}

z = \frac{-0.002}{0.95917 * 0.0012129}

z = -1.71

So:

P(x < 2.892) = P(z < -1.71)

Using z table

P(x < 2.892) = 0.043633

P(x < 2.892) = 4.36\%

You might be interested in
The sum of two numbers is 97. One number is 1 more than twice the other number. Find the two numbers.​
guajiro [1.7K]

Answer:

The 2 numbers are 32 and 65.

Step-by-step explanation:

x + y = 97   where x and y are the 2 numbers.

x = 2y + 1

Substituting for x in the first equation:

2y + 1 + y = 97

3y = 96

y = 32.

So x = 2y + 1 = 64 + 1 = 65.

4 0
3 years ago
Rewrite the expression with the given base. 25^3x with a base of 5.
svp [43]
Use\ (a^n)^m=a^{nm}\\\\25^{3x}=(5^2)^{3x}=5^{2\cdot3x}=5^{6x}
6 0
3 years ago
Please help i'm stuck on geometry
Elenna [48]
Which of the models are the questions referring to?
4 0
2 years ago
What is the ratio for 12:75
adoni [48]

It would be: 12/75 = 4/25

So, your answer is 4/25

6 0
3 years ago
Which of the following properties is represented by (ab)c = a(bc)?
DochEvi [55]

Answer:

Associative Property of Multiplication

Step-by-step explanation:

We are given three numbers-a,b,c.

We are given the property (ab)c = a(bc)

This implies that on the left hand side we first multiply a and b and then multiply the result by c. On the right side of the equation, we first multiply b and c and multiply a with the product of b and c.

As per the given property, the result in both the cases is the same.

This signifies the associative property of multiplication where the result is independent of the order of operation.

3 0
3 years ago
Other questions:
  • There are___puppies that weigh less than 102 g
    10·1 answer
  • Estimate. Them multiply. Use your estimate to check your answer. For 18×8
    7·1 answer
  • What is the general form of the equation of the given circle with its center at A
    15·1 answer
  • Molly is designing a dog house for her puppy that has a rectangular base. The length of the base is 7 inches more than its width
    7·1 answer
  • What is bigger, 6 kilometers or 600 centimeters.
    12·1 answer
  • How do u graph 2y=-4x+6
    12·1 answer
  • BÉ is an angle bisector of ZABC.
    11·1 answer
  • A utility company charges $0.12 per kilowatt-hour for energy a customer uses.They give a credit of $0.0025 for every kilowatt-ho
    10·1 answer
  • Delta math
    11·1 answer
  • What is the mean for this list of numbers? 4, 12, 13, 7​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!