Did I do my math homework right?

A car can travel 208 kilometers on 26 liters of gasoline . how far can it travel on 14 liters ?

fenix001 [56]

Answer:

112 kilometers

Step-by-step explanation:

the reason why is because if you divide 208 by 26 you get 8 then multiply it by 14 to get the answer

8 0

3 years ago

A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability

anygoal [31]

Answer:

a) We need to conduct a hypothesis in order to check if the true mean is more than 3900 bus miles, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3900$

Alternative hypothesis: $\mu > 3900$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 3900 bis miles at 10% of signficance.

b) $t=\frac{3950-3900}{\frac{225}{\sqrt{100}}}=2.22$

$p_v =P(t_{(99)}>2.22)=0.014$

Step-by-step explanation:

Data given and notation

$\bar X=3950$ represent the sample mean

$s=225$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =3900$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Assuming this question for part a: Is there evidence that the population mean bus miles is more than 3,700 bus miles? (Use a 0.10 level ofsignificance.) Because is if 3700 not makes sense based on the previous info

Part a: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is more than 3900 bus miles, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3900$

Alternative hypothesis: $\mu > 3900$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part b: Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{3950-3900}{\frac{225}{\sqrt{100}}}=2.22$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=100-1=9$

Since is a one side test the p value would be:

$p_v =P(t_{(99)}>2.22)=0.014$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 3900 bis miles at 10% of signficance.

3 0

3 years ago

Wesley walked 11 miles in 4

gtnhenbr [62]

Answer:

3 miles

58080 feet

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Answer all of them please <br><br><br>easy math questions for 20 points

MissTica

1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35

4 0

4 years ago

The four number machines below change entered numbers according to different rules which machine does not use multiplication to

FinnZ [79.3K]

Answer:

B

Step-by-step explanation:

I got here by process of elimination. In A, each number is multiplied by 3 to get the out number. In C, each number is multiplied by 3 to get the out number. In D, each number is multiplied by 2 to get the out number. Option B is the only one with no clear pattern.

3 0

4 years ago