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Anestetic [448]
3 years ago
13

M(5,7)is the midpoint of the line segment joining A(3,4) to B.find the coordinates of B.​

Mathematics
2 answers:
nataly862011 [7]3 years ago
6 0
B(7;10)......look at the picture

VARVARA [1.3K]3 years ago
6 0

Answer:

B(5, 7)

Step-by-step explanation:

Midpoint formula is given as

m(5, 7)= (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})  ------------(1)

Here

(x_1, y_1)=(3, 4)

Suppose point B is (x_2, y_2)

Substituting value sin equation (1)

(5, 7) = ( \frac{3+x_2}{2} , \frac {4+y_2} {2} )

5 =  \frac{3+x_2}{2} \\7 =   \frac {4+y_2} {2}

x_2 = 7

y_2 = 10

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Step-by-step explanation:

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8 0
3 years ago
How much would you need to deposit in an account now in order to have $6,000 in the account in 8 years? Assume the account earns
bekas [8.4K]

Answer:

$3,717

Step-by-step explanation:

Hello, in 1 year there are 12 months.

Let's note I the Initial amount.

So, after 1 month we will get the following, because we compute the interest amount for one month only.

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And the next month, we will have interest of the amount available from previous month so it gives

I * ( 1+6\% * \dfrac{1}{12} ) * ( 1+6\% * \dfrac{1}{12} ) \\\\=I*(1+\dfrac{6}{12*100})^2\\\\=I*(1+\dfrac{1}{200})^2\\\\=I*(1.005)^2

... and after n months ...

I*(1.005)^n

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8 0
4 years ago
The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009. What is th
zavuch27 [327]

Your question: The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009. What is the best prediction of the population in the year 2014? Round to the nearest whole number.

Answer: 3541

Good luck mate, remember to always look through notes and so-forth.

8 0
4 years ago
A consumer group wants to know if an automobile insurance company with thousands of customers has an average insurance payout fo
zhenek [66]

Answer:

E. No, it is not appropriate because the distribution of the population is skewed and the sample size is not large enough to satisfy the condition that the sampling distribution of the sample mean be approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

Standard deviation larger than the sample mean means that the distribution is skewed.

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7 0
3 years ago
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