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Juliette [100K]
3 years ago
7

Can someone please explain with answer?

Mathematics
2 answers:
ira [324]3 years ago
7 0

Using: A^2+b^2=c^2

A&b= (√10)^2=10

10+10=c^2

20=c^2

(take the square root of 20)

c=2√5

Your answer is D

Darina [25.2K]3 years ago
4 0

The answer for this question is D, 2\sqrt{5}

We can see that this triangle is a right triangle (because of the box on one of it's angles). In a right triangle, we know that, with a and b being the legs, and c being the hypotenuse, that a² + b² = c². In this case, x is the length of the hypotenuse and \sqrt{10} is the value of both legs.

\sqrt{10}² = 10, and x² = x², meaning that

10 + 10 = x²

x² = 20

To find what x is equal to, we take the positive square root of 20 (the length of a side can't be negative).

x = \sqrt{20}

Now, we can simplify. \sqrt{20} = \sqrt{2²*5} (that's the prime factorization). But, since we see the number 2 two times in this square root, we can factor it out. The simplified form of our answer is:

2\sqrt{5}

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Step-by-step explanation:

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  P = (4, 7)

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The point that divides the segment into the ratio a:b is the weighted average of the endpoints, with the weights being "b" and "a". The weight of the first end point corresponds to the length of the far end of the segment.

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How much money will there be in an account at the end of 10 years if $4000 is deposited at 6% compounded quarterly
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A 98% confidence interval is found to be (50, 60). What is the margin of error?
miss Akunina [59]

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3 years ago
A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.
AysviL [449]

Answer:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X= 0.996 the sample mean

s=0.004 the sample deviation

n =25 the sample size

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

We can use as estimator of the real population deviation the sample deviation for this case \hat \sigma = s/ The critical value for 99% of confidence interval is given by z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

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3 years ago
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