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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\%

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Margaret has completed 22 questions of an online survey which represents 55% of the total survey. How many questions are on the
Otrada [13]

Answer:

18 questions

Step-by-step explanation:

22 questions=55%

??? questions=45%

now what about this:

2 questions=5%

I just simplified the first equation

now 5%*???=45%

5*9=45

then we do the same thing to the other side

2*9 questions=45%

18 questions are left on the survey

4 0
2 years ago
A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed. How many teaspoons are needed for 5 cup
skad [1K]
3 / 1½ = 2 cups of flour per teaspoon

2x = 5
divide both sides by 2 to isolate x

x = 2.5

You need 2.5 teaspoons of vanilla for 5 cups of flour.
4 0
3 years ago
Write an equation that indicates you can spend exactly 45 per day for rental fees
9966 [12]

Answer:

An equation that indicates you can spend exactly $45 per day for rental fees is, y=45x

Step-by-step explanation:

Let x represents the days and y represents total the rental fees.

As per the statement:

you can spend exactly $45 per day for rental fees.

In 1 day you spend  = $45 rental fees.

then

in x days = 45 x

we have to find an equation that indicates you can spend exactly $45 per day for rental fees

since, y represents the total rental fees,.

⇒ y= 45x

Therefore, an equation that indicates you can spend exactly $45 per day for rental fees is, y=45x

5 0
3 years ago
Read 2 more answers
Use the quadratic formula to solve x^2+8x+9=0
Tju [1.3M]
None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)
4 0
3 years ago
“3 less than the quotient of y and 4”
Bingel [31]

Answer:

Expression:

\dfrac{y}{4}-3

Value where y = 20

2

Step-by-step explanation:

Let's take a look at the sentence:

3 less than the quotient of y and 4

3 less indicates that you will subtract

   - 3

Quotient means the result of division.

\dfrac{y}{4}

So if we combine the two, it says 3 less than the quotient so we subtract 3 from the quotient:

\dfrac{y}{4}-3

So if y = 20, we just substitute the y with 20

\dfrac{y}{4}-3

\dfrac{20}{4}-3

5-3=2

8 0
3 years ago
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