The original points/point c would be (-8,11) bc the y stays the same and the x changes from its original to (in this case) negative to positive

(positive to negative/negative to positive for either the x or y)

hope this helps

7 0

3 years ago

4. According to statistics reported on IN-CORP a surprising number of motor vehicles are not covered by insurance. Sample result

son4ous [18]

Answer:

a) 0.23

b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).

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 $1 - \frac{\alpha}{2}$ .

Point estimate

The point estimate is:

$\pi = \frac{46}{200} = 0.23$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.23 - 1.96\sqrt{\frac{0.23*0.77}{200}} = 0.1717$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.23 + 1.96\sqrt{\frac{0.23*0.77}{200}} = 0.2883$

The 95% confidence interval for the population proportion is (0.1717, 0.2883).

5 0

3 years ago

A pet store conducted a survey on the types of pets owned by the stores customers. construct a two-way table summarizing the dat

Inessa [10]

Answer:

$\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}$

Step-by-step explanation:

From the table you can see that

45 customers own cat and dog;
78 own only cat, then 78+45=123 customers own cat;
125 own only dog, then 125+45=170 customers own dog;
52 own neither cat, nor dog;
78+45+125+52=300 customers in total;
300-123=177 customers do not own cat;
300-170=130 customers do not own dog.

Two-way table is

$\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}$

5 0

3 years ago