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3 years ago

The expression \sqrt[3]{3}\cdot \sqrt[5]{3^6}

Mathematics

1 answer:

Norma-Jean [14]3 years ago

3 0

3/6 because I got it right on the quiz and it was easy txt me if you need help

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The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. The follow

kipiarov [429]

Answer:

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

Step-by-step explanation:

The average undergraduate cost for tuition, fees, and room and board for two-year institutions last year was $13,252. Test if the mean cost has increased.

At the null hypothesis, we test if the mean cost is still the same, that is:

$H_0: \mu = 13252$

At the alternative hypothesis, we test if the mean cost has increased, that is:

$H_1: \mu > 13252$

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

13252 is tested at the null hypothesis:

This means that $\mu = 13252$

The following year, a random sample of 20 two-year institutions had a mean of $15,560 and a standard deviation of $3500.

This means that $n = 20, X = 15560, s = 3500$

Value of the test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{15560 - 13252}{\frac{3500}{\sqrt{20}}}$

$t = 2.95$

P-value of the test and decision:

The p-value of the test is found using a t-score calculator, with a right-tailed test, with 20-1 = 19 degrees of freedom and t = 2.95. Thus, the p-value of the test is 0.0041.

The p-value of the test is 0.0041 < 0.05, which means that there is sufficient evidence at the 0.05 significance level to conclude that the mean cost has increased.

7 0

3 years ago

PLEASE HELP if Suzy can drive 4/5 miles in a half hour how many miles can she drive in 1 hour FOR A TEST PLEASE ANSWER

kati45 [8]

Since you are trying to figure out how many miles she can drive in 1 hour and you already have half of that hour, all you would need to do is double that number.
$\frac{4}{5}$ × $\frac{2}{1}$ = $\frac{8}{5}$

Now, all you would need to do is simplify the answer.
$\frac{8}{5}$ = 1 $\frac{3}{5}$ or 1.6

The answer would be, Suzy can drive 1 $\frac{3}{5}$ or 1.6 miles in 1 hour.

I hope this helps!

5 0

3 years ago

Use the distributive property to find the value of x.

noname [10]

Answer:

The value of x = 1.5

Step-by-step explanation:

Given:

-1.2(3 – x) = -1.8

To Find:

x = ?

Solution:

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

For example A(B + C) = A×B + A×C

Here we have,

-1.2(3 – x) = -1.8

Applying Distributive property we get ,

-1.2×3 -1.2×-x = -1.8

∴ -3.6 +1.2x = -1.8

∴ $1.2x =3.6-1.8\\\\1.2x=1.8\\\\x=\frac{1.8}{1.2} \\\textrm{multiply numerator and denominator by 10}\\x=\frac{1.8\times 10}{1.2\times 10}\\ \\x=\frac{18}{12} \\\\\\x= 1.5$