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Kaylis [27]
3 years ago
13

Calculate the fuel economy of your family or personal car in terms of gallons per mile and the total cost for one fill-up git hu

b.
Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

0.028 Gallons/mile

Step-by-step explanation:

1 Gallon = 3.78541 Litres

1 Mile    = 1.60934 Km

Total Fuel Expenditure (Dec 2019) = PKR 7,000

Fuel cost / Litre = 114Litre/Km

Total Fuel consumption = (7000/114)

                                      = 61.40 Litres or 16.22 Gallons

Total Distance Travelled in Dec 2019 = 921 Km or 572.28 miles

Fuel Economy = 16.22/572.28

                       = 0.028 Gallons/mile

One time tank fill up cost = PKR 1,500

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A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.
oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

H_0: \mu=2.4\\\\H_a:\mu> 2.4

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58

The degrees of freedom for this sample size are:

df=n-1=45-1=44

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>2.5801)=0.0066

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

7 0
3 years ago
Which of the following functions is graphed below?
11Alexandr11 [23.1K]
We can't tell from the graph whether the left point of each step is included, or the right point. If the left, this is a graph of
  y = 7 + floor(x)
7 0
3 years ago
Read 2 more answers
Help please! find m∠bcf
77julia77 [94]

Answer:

BCF = 140°

See attached image.

5 0
3 years ago
Read 2 more answers
What is the perimeter of each figure?<br> 2x<br> 2x<br> X-8<br> x + 2<br> 1
____ [38]

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8

8 0
2 years ago
Identify the form of each equation. 7x + 5y = 8 is in (select) . y − 5 = 3 (x − 9) is in (select) . y = 7x + 9 is in (select) .
erik [133]

Answer:

Let's define all the possible forms:

slope-intercept: y = a*x + b

point-slope: y - y1 = a*(x - x1)   (where (x1, y1) is a point in the line)

standard form: a*x + b*y = c

then:

a) 7x + 5y = 8

This is in standard form.

b) y − 5 = 3*(x − 9)

This is in point slope form.

c) y = 7x + 9

This is in slope-intercept form.

d) 8x − 9y = −2

This is in standard form.

5 0
3 years ago
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