Write a division problem that has a quotient of 12.

What are the steps to graphing a linear equation?

chubhunter [2.5K]

Locate the y-intercept on the graph and plot the point.

From this point, use the slope to find a second point and plot it.

Draw the line that connects the two points.

6 0

3 years ago

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An insurance company estimates 45 percent of its claims have errors. The insurance company wants to estimate with 99 percent con

nydimaria [60]

Answer:

We need a sample size of at least 657.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

45 percent of its claims have errors.

So $\pi = 0.45$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

What sample size is needed if they wish to be within 5 percent of the actual

This is a sample size of at least n, in which n is found when M = 0.05.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.05 = 2.575\sqrt{\frac{0.45*0.55}{n}}$

$0.05\sqrt{n} = 1.28$

$\sqrt{n} = \frac{1.28}{0.05}$

$\sqrt{n} = 25.62$

$\sqrt{n}^{2} = (25.62)^{2}$

$n = 656.4$

We need a sample size of at least 657.

6 0

3 years ago

The line with equation ax+by=20 passes through the points(-2,10) and (1,5)<br>find a and b

Doss [256]

$ax+by=20 \\ \\(-2,10) \\ \\ a*(-2)+b*10 = 20 \\ \\-2a +10b = 20 \\ \\ (1,5)\\ \\ a*1+b*5 = 20 \\ \\ a +5b = 20$

$\begin{cases} -2a+10b =20\\ a+5b =20 \ /*2\end{cases} \\ \\\begin{cases} -2a+10b =20\\ 2a+10b =40 \end{cases}\\--------\\ 20b=60 \ / :20 \\ \\b=\frac{60}{20} =3$

$-2a+10b=20 \\ \\-2a +10*3=20 \\ \\-2a +30=20\\ \\-2a=20-30\\ \\-2a=-10 \ /: (-2)$

$a=\frac{10}{2}=5\\ \\\begin{cases} a= 5 \\b=3\end{cases}$

6 0

4 years ago

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Question 3 / 5

Allisa [31]

There are 10 seats in ferris wheel of love.

One couple can fit in to one seat. That means 1 couple per seat.

Given, in each minute a seat passes by the entrance or exit stage. That means one couple can use the seat for one minute. That means 1 seat per minute.

The wheel starts functioning at 8 p.m for half an hour. In 1 hour there are 60 minutes. So half an hour means $\frac{60}{2}$ = 30 minutes.

So we have got 1 couple per seat and 1 seat per minute. If we multiply them we will get 1 couple per minute.

We have got in 1 minute there is 1 couple.

So in 30 minutes there are $(1)(30)$ couples = 30 couples.

We have got the required answer here.

There are 30 couples who took a ride in the ferris wheel of love.

7 0

4 years ago

#1 Review.pdf

stiks02 [169]

Answer:

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3 0

3 years ago