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2 years ago

In June, a runner ran a mile in 7:45. In September, the runner ran a mile in 5:51.

Mathematics

1 answer:

mario62 [17]2 years ago

4 0

The percentage of Change in time is an decrease

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Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined

Musya8 [376]

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points $(x_1, y_1)$ and $(x_2, y_2)$ :

$slope=\frac{y_2-y_1}{x_2-x_1}$

which in our case gives:

$slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}$

5 0

2 years ago

The answers are already there, I just need the work. I'm giving all of my points into this one :)

Radda [10]

I can’t see the image :(

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3 years ago

you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equa

Ahat [919]

Answer:

The minimum sample size is 239.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.99}{2} = 0.005$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Population standard deviation is equal to 1.5

This means that $\sigma = 1.5$

Margin of error of 0.25

This means that $M = 0.25$

What's the minimum size of the sample?

$M = z\frac{\sigma}{\sqrt{n}}$

$0.25 = 2.575\frac{1.5}{\sqrt{n}}$

$0.25\sqrt{n} = 2.575*1.5$

$\sqrt{n} = \frac{2.575*1.5}{0.25}$

$(\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2$

$n = 238.7$

Rounding up:

The minimum sample size is 239.

4 0

3 years ago

In the standard (x, y) coordinate plane, if the x-coordinate of each point is 2 times the y-coordinate, what is the slope of the

uranmaximum [27]

1/2 (Rise over Run)
I hope this helps out :3

3 0

3 years ago

By the definition of complementary angles, since

svlad2 [7]

The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.

<h3>What are the missing statements in the proof?</h3>

Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.

Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.

Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.