1. Perform the indicated operations, and then answer the question.

Johnny will work 15 hours a week during the 36 week school year, and 40 hours a

Naddika [18.5K]

Answer:

He will save 590 dollars by the end of the year

7 0

3 years ago

The sides of a triangle measures 6 inches, 8inches, and 10inches. The triangle has one 90 degree angle. What type of triangle is

IrinaVladis [17]

It's a right triangle as it has the 90 degree corner and 3 different lengths

5 0

3 years ago

The orthocenter of a triangle may lie outside the triangle because an altitude does not necessarily intersect the____

kap26 [50]

Answer: sides

Step-by-step explanation:

The orthocenter of the triangle will be the intersection of the three altitudes of a triangle. The orthocenter has several vital properties with other parts of a triangle, including the area ,incenter circumcenter and more. Typically, the orthocenter is represented by letter H.

The altitude of a triangle is a line that passes through the vertex of a triangle and it is also perpendicular to the opposite side. The orthocenter of a triangle can lie outside the triangle because an altitude may not necessarily intersect the side.

8 0

3 years ago

A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

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 differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.05$ 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 true mean is different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but 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:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

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

$p_v =2*P(Z>2)=0.0455$

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 differs from 24 at 5% of significance

6 0

4 years ago

Can someone please help me solve this?

lord [1]

The answer should be about 13 as the sequence over 5 number is increasing by 20 so over each interval it should increase by 4.

3 0

3 years ago