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3 years ago

What are the coordinates of the midpoint of the line segment with endpoints R(4, -7) and S(-3, 5)?

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

(1/2, -1)

Step-by-step explanation:

The midpoint is the average of the end points:

M = (R + S)/2 = ((4, -7) + (-3, 5))/2 = ((4-3)/2, (-7+5)/2) = (1/2, -2/2)

M = (1/2, -1)

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Parents wish to have $160,000 available for a child's education. If the child is now

Neporo4naja [7]

A=p (1+I/k)^kn

A future value 160000
p present value ?
I interest rate 6/100=0.06
K compounded semiannual 2
T time 18-7=11years

160000=p (1+0.06/2)^(2×11)
Divide each side by (1+0.06/2)^(2×11)
P=160,000÷(1+0.06÷2)^(2×11)
P=83,502.8

Hope it helps:-)

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2 years ago

Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D

Gala2k [10]

Answer:

B) A and C

Step-by-step explanation:

A and C are negative reciprocals of each other.

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2 years ago

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A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate exec

Firdavs [7]

Answer:

554 executives should be surveyed.

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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 $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

Standard deviation of 3 hours.

This means that $\sigma = 3$

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with $M = 0.25$ . So

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

$0.25 = 1.96\frac{3}{\sqrt{n}}$

$0.25\sqrt{n} = 1.96*3$

$\sqrt{n} = \frac{1.96*3}{0.25}$

$(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2$

$n = 553.2$

Rounding up:

554 executives should be surveyed.

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3 years ago

The circle below is center Ed at O. Decide which length,if any, is definitely the same as the length. a) AD. b) BC. Justify your

Mars2501 [29]

Answer:

Point O is the center of the circle.

Part (a)

$\overline{A\:\!F}$ is a chord.

$\overline{OD}$ is a segment of the radius and is perpendicular to $\overline{A\:\!F}$

If a radius is perpendicular to a chord, it bisects the chord (divides the chord into two equal parts).

Therefore, $\overline{AD}=\overline{DF}$

Part (b)

If $\overline{BE}$ was extended past point E to touch the circumference it would be a chord.

As $\overline{OC}$ is perpendicular to $\overline{BE}$ , it would bisect the chord, but as $\overline{BE}$ is only a portion of a chord, $\overline{OC}$ does not bisect $\overline{BE}$ .

Therefore, there is no length equal to $\overline{BC}$ .

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1 year ago

There are nine hundred eighty-five thousand, four hundred five people who watched a recent video on

stepan [7]

D is the correct answer because it’s greater than 985, 405

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2 years ago

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