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3 years ago

Find the slope of a line given the following two points: (-1, 3) and (5, -2).

1 answer:

3 0

Your answer is B) -5/6.

We can find this using the formula (y2 - y1)/(x2 - x1) and substitute in the coordinates:

(-2 - 3)/(5 - -1) = -5/6

I hope this helps!

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(1 pt) In a study of red/green color blindness, 950 men and 2050 women are randomly selected and tested. Among the men, 89 have

Ivahew [28]

Answer: (0.066,0.116)

Step-by-step explanation:

The confidence interval for proportion is given by :-

$p_1-p_2\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : The proportion of men have red/green color blindness = $p_1=\dfrac{89}{950}\approx0.094$

The proportion of women have red/green color blindness = $p_2=\dfrac{6}{2050}\approx0.003$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

Now, the 99% confidence interval for the difference between the color blindness rates of men and women will be:-

$(0.094-0.003)\pm (2.576)\sqrt{\dfrac{0.094(1-0.094)}{950}+\dfrac{0.003(1-0.003)}{2050}}\approx0.091\pm 0.025\\\\=(0.09-0.025,0.09+0.025)=(0.066,\ 0.116)$

Hence, the 99% confidence interval for the difference between the color blindness rates of men and women= (0.066,0.116)

4 0

3 years ago

An art museum has 1,042 pictures to split equally into 45 different exhibits. How many more pictures does the museum need to mak

MaRussiya [10]

23 with a remainder of 7. :)

8 0

3 years ago

Read 2 more answers

Kendra can make 120 soccer kicks in 3 minutes. Jovani can make 100 soccer kicks in 4 minutes. How long will it take them to make

meriva

Answer:

Step-by-step explanation:

10 mins

4 0

3 years ago

College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall

Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Random sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

$35\text{ min}=0.58\text{ Hour}$

$z=\frac{9.6-8.6}{0.58}$

$z=\frac{1}{0.58}$

$z=1.72$

Now, we need to find $P(z>1.72)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>1.72)=1-P(z$

Using normal distribution table, we will get:

$P(z>1.72)=1-0.95728$

$P(z>1.72)=0.04272$

$0.04272\times 100\%=4.272\%$

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0

3 years ago

Gabriel is performing an experiment in which he is measuring the energy and work being done by a ball rolling down a hill. Descr

kirza4 [7]

Answer:

They will both be recorded in joules.

Step-by-step explanation:

They will both be recorded in joules.

As energy and work both are measured in joules. If we define work it is the force applied on an object as it moves a certain distance and Energy is the ability to do work. Both are closely related because work done on an object can cause a change in energy. Now if a ball is rolling down a hill then there is no frictional loss then its energy will be conserved but the work done by the ball will continuously change.Therefore they will both be measured in joules.

4 0

2 years ago