Which value is the 10th term in the sequence:-62,-47,-32,-17,-2?

The sum of three numbers is 95. The first number is 5 more than the third. The second number is 4 times the third. What are the

kotykmax [81]

Answer:

20, 60, 15

Step-by-step explanation:

Let the third number be n, then

The first number is n + 5 and the second number is 4n

Sum the 3 numbers and equate to 95, that is

n + 5 + 4n + n = 95 ← collect like terms on left side

6n + 5 = 95 ( subtract 5 from both sides )

6n = 90 ( divide both sides by 6 )

n = 15

Thus

The first number is 15 + 5 = 20

The second number is 4 × 15 = 60

The third number is 15

4 0

3 years ago

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

2 years ago

The first 5 numbers of a sequence are shown below. Which of the following functions produces the sequence with n: (1, 2, ...,

Rasek [7]

Answer:

C)

Step-by-step explanation:

f(n) = 26 + 9(n-1)

4 0

2 years ago

If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given sc

otez555 [7]