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fomenos
2 years ago
10

If gasoline costs $ 3.77 per gallon when you pay with a credit card, but $0.08 per gallon less if you pay with cash, how much do

you save by filling up a 8-gallon tank and paying for it with cash?
Mathematics
1 answer:
PIT_PIT [208]2 years ago
8 0

Answer:

<u>$0.64</u>

Step-by-step explanation:

Cost for 8 gallons of gas

Credit Card at $3.77/gal

Cash at $(3.77 - 0.08)/gal:  $3.69/gal

(8 gal)*($3.77/gal) =  $30.16

(8 gal)*($3.69/gal) =  $29.52

Savings is $0.64

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The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r
jolli1 [7]

Answer:

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=28 represent the sample mean

\mu population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.064

Now we have everything in order to replace into formula (1):

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)    

7 0
3 years ago
What is the sum of (4x2 – 10x + 3) and (-6x2 + 10x + 12)
kykrilka [37]

Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

4x² - 6x² = -2x²

-10x + 10x = 0

3 + 12 = 15

Step 2: Rewrite

-2x² + 15

6 0
3 years ago
can anybody help me with this problem 11/6 and 3 1/3 and i need to figure out if one is greater than or less than or equal to th
Anestetic [448]
11/6 is less than. 6 only goes into 11 once,, so it'd be 11/6
3 0
3 years ago
45.15 ÷ 21 pleases solve it for me
sergiy2304 [10]

Answer:

2.15

Step-by-step explanation:

5 0
3 years ago
What is the missing side and what is the answer rounded to the nearest tenth?
pogonyaev
The missing side is 17 and rounded it is 20

4 0
2 years ago
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