Each of 4 family members uses 175 minutes or fewer of their combined family cell phone plan.

Consider the point. (2, 4, 5) What is the projection of the point on the xy-plane? (x, y, z) = What is the projection of the poi

Karolina [17]

Answer:

Step-by-step explanation:

Given is a point (2,4,5) in 3 dimension.

a) The projection of the point on xy plane would be with coordinate z=0 and same x,y coordinates

i.e. (2,4,0)

Similarly projection xz plane would be (2,0,5)

and projection on yz plane is (0,4,5)

If (2,4,5) is opposite vertex and faces are parallel to the coordinate planes

we would have the sides as xy plane yz plane and zx plane with extreme vertex as (2,4,5)

So all the 6 vertices would be

(0,0,0) (0,4,5) (2,0,5) (2,4,0) (0,4,0) (0,0,5) and (2,0,0),(2,4,0)

8 0

2 years ago

You just received an insurance settlement offer related to an accident you had six years ago. The offer gives you a choice of on

Usimov [2.4K]

answer:

Step-by-step explanation:

Option A. $1565 for 72months

Then the total is $112,680

Option B. $1012 for a month for 10 years,

10years is equivalent to 120months

Therefore, the total income is 1012×120

$121,440.

Option 3.

$100,000 once payment.

All the information is correct.

But,

Since the individual did not care if he receives the fund or it is transfer to his heir, so we can ignore the third option of collecting $100000 lump sum.

Also, since he is also ready to wait and he is indifferent about who earns the insurance settlement so he can as well wait and ignore the 72months.

So he can go for the second option because it pays the largest amount and he will receive the most payments.

He will receive $121,440 if he waits for ten years.

4 0

2 years ago

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that we

agasfer [191]

This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60

This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:

$H_0: p = 0.6$

At the alternative hypothesis, we test if the proportion is different of 0.6, that is:

$H_1: p \neq 0.6$

Decision rule:

Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of $|Z_c| = 1.645$ , and the decision rule is:

Accept the null hypothesis: $|Z| < 1.645$

Reject the null hypothesis: $|Z| > 1.645$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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

0.6 is tested at the null hypothesis:

This means that $\mu = 0.6, \sigma = 0.4$

75 out of a sample of 140:

This means that:

$n = 140, \pi = \frac{75}{140} = 0.5357$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}$

$z = -1.55$

So |z| = 1.55

Decision:

The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.

For a similar example, you can check brainly.com/question/24166849

7 0

2 years ago

It cost Liam $6.10 to send 61 text messages. How much would it cost to send 185 text messages?

vredina [299]

Answer:

$18.50

Step-by-step explanation:

In the example before 61 messages = $6.10 or rounding to the tenths place 6.1. If you do the same with 185, you get 18.5 or 18.50

6 0

2 years ago

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