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4 years ago

12

When Jamie's car moves forward such that each tire makes one full rotation,the car has traveled 72 inches. how many full rotatio

ns will the tires need to

1 answer:

koban [17]4 years ago

5 0

I think it would be 8 or 9!

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Keith has a debt of $150 at the beginning of the summer he wants to have at least $200 in the account at the end of the summer i

ANTONII [103]

The difference between 200 and -150 is 350. 350÷75= 4.666666... but as it is whole weeks it will be 5 weeks

7 0

3 years ago

Does the point (-3,-1) lie on the line with the equation y = 10 - 3x ? Be sure to show your work.

valina [46]

Replace x in the equation with the x value from the point and solve. If the equation equals the y value from the point the point lies in the line, if it doesn’t equal the y value then it doesn’t lie on the line.

Y = 10 -3(-3) = 10 + 9 = 19

19 doesn’t equal -1 so the point does not lie on the line.

7 0

3 years ago

A researcher would like to determine whether a new tax on legalized marijuana has had any effect on people’s purchasing behavior

riadik2000 [5.3K]

Answer:

a) $z=\frac{386-410}{\frac{60}{\sqrt{9}}}=-1.2$

$p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not different from 410 at 5% of signficance.

b) $z=\frac{386-410}{\frac{30}{\sqrt{9}}}=-2.4$

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significantly different from 410 at 5% of signficance.

Step-by-step explanation:

Part a

Data given and notation

$\bar X=386$ represent the sample mean

$\sigma=60$ represent the population standard deviation

$n=9$ sample size

$\mu_o =410$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean differs from 410, the system of hypothesis would be:

Null hypothesis: $\mu =410$

Alternative hypothesis: $\mu \neq 410$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

Calculate the statistic

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

$z=\frac{386-410}{\frac{60}{\sqrt{9}}}=-1.2$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not different from 410 at 5% of signficance.

Part b

$z=\frac{386-410}{\frac{30}{\sqrt{9}}}=-2.4$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significantly different from 410 at 5% of signficance.

6 0

3 years ago

Jessamyn bought 3 notebooks that cost $2.25 each and a pen that cost $0.75. Sales tax on her purchases was

barxatty [35]

Number one i think i am correct

5 0

3 years ago

Read 2 more answers

THE RATIO OF ANNUAL INCOMES OF A AND B IS 4 :3 AND THEIR ANNUAL EXPENDITURE IS 3 :2 IF EACH OF THEM SAVES SHILLINGS 1000 A YEAR

pickupchik [31]

<u>Answer:</u>

Annual Income of A= $4x=4*1000=4000$

and

Annual Income of B= $3y=3*1000=3000$

<u>Step-by-step explanation:</u>

<u>Given Data:</u>

Ratio of annual income of A and B=4:3

Ratio of expenditures of A and B=3:2

Saving of A and B=1000

<u>Required:</u> Annual Income of A and B=?

<u>Solution:</u>

If ratio of income of A and B is 4:3

then let Income of A= $4x$ and Income of B= $3x$

If ratio of expenditure of A and B is 3:2

then let expenditure of A= $3x$ and expenditure of B= $2x$

Therefore,

$4x-3x=1000$ ........... $Eq(1)$

and $3x-2x=1000$ .......... $Eq(2)$

subtracting Eq(1) and Eq(2), we get

$4x-3y=1000\\-(3x-2y)=1000\\......................\\x-y=0$

$x=y.....Eq(3)$

putting $x=y$ in Eq(1), we get value of $x$ as

$4x-3x=1000$

$x=1000\\thus, y=1000 \\$ because x and y are equal in Eq (3)

Now, Annual Income of A= $4x=4*1000=4000$

and Annual Income of B= $3y=3*1000=3000$

7 0

3 years ago