The length of a rectangle is 4x and the width of the rectangle is x^2

Amy bought a diamond ring for $6,000. If the value

Temka [501]

Answer: $13,308

5.8% of 6000 is 348. 348 times 21 is $7,308. add 6,000 to 7,308 and you get $13,308

Step-by-step explanation: amy likes cheap rings LOL

3 0

2 years ago

Read 2 more answers

A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.

gizmo_the_mogwai [7]

Answer:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

$p_v =P(z>0.280)=0.390$

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=3.1$ represent the sample mean

$\sigma=\sqrt{6}$ represent the sample standard deviation for the sample

$n=47$ sample size

$\mu_o =3$ represent the value that we want to test

$\alpha$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3$

Alternative hypothesis: $\mu > 3$

If we analyze the size for the sample is > 30 and we know the population deviation so 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:

$z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280$

P-value

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

$p_v =P(z>0.280)=0.390$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.

3 0

2 years ago

a shark is 80 feet below the surface of the water. it swims up and jumps out of the water to a height of 15 feet above the surfa

Leni [432]

Answer:

75

Step-by-step explanation:

80+15 is 75

5 0

3 years ago

Msty and yesenia have a group of base ten blocks. misty had six more block than yesenia. yesenias blocks represent 17. together

Inessa05 [86]

yesenia has 9 blocks. misty has 15.

15 + 9 = 22.

for the values of the blocks, yesenia has 17 and misty has 68.

17 + 68 = 85.

hope i helped!

4 0

3 years ago

Find the six first terms of an arithmetic sequence with:<br> d = 2<br> Po= 30

alexgriva [62]

Answer:

The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40

Step-by-step explanation:

The nth term of an arithmetic sequence is given by:

$P_n = P_0 + nd$

In which d is the common difference, that is, each term is increased by d.

d = 2, Po= 30

First term is 30, each consecutive is increased by 2. So

30, 32, 34, 36, 38, 40

7 0

2 years ago

The length of a rectangle is 4x and the width of the rectangle is x^2 - 2x + 6. What is the area of the