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3 years ago

P divides a line segment AB into two equal halves.

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

A(-4, 1)

Step-by-step explanation:

The parts being equal means ...

A - P = P - B

A = 2P - B . . . . . . . . useful to remember for P being the midpoint of AB

A = 2(-1, 4) -(2, 7) = (-2-2, 8-7)

A = (-4, 1)

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3 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

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3 years ago

(5.2x10^4)+(3.6x10^3)

yawa3891 [41]

Answer:

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Step-by-step explanation:

5.56*10^4

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3 years ago

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sergiy2304 [10]

Hi there! The formula for simple interest is prt. That means multiply the principal (initial amount) by the rate (simple interest rate) by the time (could be in months or years). In this case, we multiply 475 * 5% (0.05) to get 23.75. That's $23.75 in interest each year, but we're looking for the amount earned in 10 years. To do this, multiply 23.75 by 10. When you do, you get 237.5. There. $237.50 in interest will be earned in 10 years.

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3 years ago

Alyssa drives 10 miles in 20 minutes. If she drove one hour in total at the same rate, how far did she go? i know the answer but

Fudgin [204]

Answer:

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Step-by-step explanation:

20 x 3 is 60 minutes

10 x 3 is 30 miles

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2 years ago