Choose the correct statement of the rule; then complete the table for missing values. A merchant adds $3.00 to his cost

A company purchased equipment and signed a 7-year installment loan at 9% annual interest. The annual payments equal $9,000. The

ANTONII [103]

First, we should apply the present value of annuity formula. It is $PV=A \frac{1- \frac{1}{(1+r)^{N}}}{r}$ and in this formula $\frac{1- \frac{1}{(1+r)^{N}}}{r}$ is the present value of annuity factor.

Then, we can find the present value of the annuity by writing that, $PV=9000 * 5.033 = 45297$ <span>
</span>

7 0

2 years ago

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Seventy percent of a town's population voted in an election. If 1,589 people voted, what is the population of the town?

Crank

The total population of the town is 2270 people.

6 0

2 years ago

Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0

2 years ago

3.<br> The perimeter of a square garden is 12 km. Find its area.

7nadin3 [17]

Answer:

the area of the garden is 9 square kilometers

Step-by-step explanation:

4s=12

s=3

A= 3*3 = 9

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2 years ago

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In a representative sample of 1000 adult Americans, only 460 could name at least one justice who is currently serving on the U.S

stellarik [79]

Answer:

P=2.326

Step-by-step explanation:

Raw Score (X):=1000

Population Mean (μ):=460

Standard Deviation (σ): =Sqrt(npq)

Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54

Sqrt(npq)=sqrt(460X0.54)=15.7607

Z = (X - μ) / σ

Z = (1000 - 460) / 15.7607

Z = 34.26244

For p-value 0.01

P(x=0.01) = 2.32635

Hence, P=2.326 t 3 decimal places.

6 0

2 years ago