Find the slope of the line that passes through each pair of points.<br> C(0,

four pieces of pie were eaten from a pie cut into equal parts. The 5 pieces that remained created an angle that measured 200°. W

Morgarella [4.7K]

Step-by-step explanation:

The 5 pieces that remained created an angle that measured 200 degree means that the 4 pieces made 360-200 degrees 160o.

If all four made 160 then each has to be 160/4 = 40o

200/5 also gives you 40 (the five remaining)

360/9 would also give you 40 9the 5 remaining and the 4 eaten)

I hope this helps

6 0

3 years ago

A college football coach wants to know if there is a correlation between his players’ leg strength and the speed at which they c

Leto [7]

Answer:

Please Read below! As a professional athlete, I think I can help. :)

Step-by-step explanation:

First, what is correlation? Correlation is when there is a mutual relationship or connection between two separate things. More studying, better grades. Less sleep, worse focus. In this instance, the football coach wants to see if better leg strength means a faster 40 yard sprint!

As a professional athlete, I can answer immediately that stronger legs, does generally mean a faster sprint. However, this does not mean better endurance in a long distance race!

So the correlation is: stronger legs = faster 40 yard run

A player that can reach 22 leg-presses is likely going to run a faster 40 yard dash, then someone who can only do 10 leg presses. At the same time, however, it's important to take into account the weight of each player, because the person with stronger legs, might have more weight to carry!

I cannot see any chart provided, but I'm going to assume that there is a positive linear graph, with equations being in slope form (y = mx + b).

Let me know if this helps! :)

5 0

3 years ago

The midpoint between y and 33 is -7. Find y

Basile [38]

Answer:

y = -47

Step-by-step explanation:

To find the midpoint of two points, add them together and divide by 2

(y+33)/2 = -7

To find y, multiply each side by 2

(y+33)/2 *2 = -7*2

y+33 = -14

Subtract 33 from each side

y+33-33 = -14-33

y = -47

7 0

3 years ago

A poll in 2017 reported that 705 out of 1023 adults in a certain country believe that marijuana should be legalized. When this p

just olya [345]

Answer:

1. d. (0.652, 0.726)

2. b. (0.661, 0.718)

a. The margin of error of a 90% confidence interval will be less than the margin of error for the 95% and 99% confidence intervals because intervals get wider with increasing confidence level.

Step-by-step explanation:

Data given and notation

n=1023 represent the random sample taken in 2017

X=705 represent the people who thinks that believe that marijuana should be legalized.

$\hat p =\frac{705}{1023}=0.689$ estimated proportion of people who thinks that believe that marijuana should be legalized.

z would represent the statistic in order to find the confidence interval

p= population proportion of people who thinks that believe that marijuana should be legalized.

Part 1

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

0.689 -2.58 sqrt((0.689(1-0.689))/(1023))=0.652

0.689 + 2.58sqrt((0.56(1-0.689))/{1023))=0.726

And the 99% confidence interval would be given (0.652;0.726).

We are 99% confident that about 65.2% to 72.6% of people believe that marijuana should be legalized

d. (0.652, 0.726)

Part 2

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

0.689 - 1.96((0.689(1-0.689))/(1023))=0.661

0.689 + 1.96 ((frac{0.56(1-0.689))/(1023))=0.718

And the 95% confidence interval would be given (0.661;0.718).

We are 95% confident that about 66.1% to 71.8% of people believe that marijuana should be legalized

b. (0.661, 0.718)

Part 3

Would be lower since the quantile $z_{\alpha/2}$ for a lower confidence is lower than a quantile for a higher confidence level.

The margin of error of a 90% confidence interval will be less than the margin of error for the 95% and 99% confidence intervals

If we calculate the 90% interval we got:

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution. The quantile for this case would be 1.64.

And replacing into the confidence interval formula we got:

0.689 - 1.64 ((0.689(1-0.689))/{1023))=0.665

0.689 + 1.64 ((0.56(1-0.689))/(1023))=0.713

And the 90% confidence interval would be given (0.665;0.713).

We are 90% confident that about 66.5% to 71.3% of people believe that marijuana should be legalized.

The intervals get wider with increasing confidence level.

So the correct answer is:

a. The margin of error of a 90% confidence interval will be less than the margin of error for the 95% and 99% confidence intervals because intervals get wider with increasing confidence level.

6 0

3 years ago

Ill give brainlist if you can answer this for me

NeTakaya

Answer:

The third one

Step-by-step explanation:

consider the following image

$\frac{10}{\sqrt{2} } =5\sqrt{2}$

4 0

3 years ago

Find the slope of the line that passes through each pair of points. C(0, –2), D(3, -2)