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3 years ago

Can someone answer the middle question please

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

8 0

Step-by-step explanation:

The angles which are adjacent are always supplementry, (which means they add up to 180°)

Now angle M = 118°

And only a part of angle N = 22°

Because here Angle N is is separated to unequal parts

So one of these parts is 22 °

And here angle M + Angle N = 180°

Angle M = 118

Angle N = 22°+ x

So 118+22+x = 180°

140° + x = 180°

x = 180 - 140 = 40°

Now we found the other part for Angel N

Now this 40° angle is alternatively opposite to angle NLO, so therefore they are equal

So angle NLO = Angle N (40°),as they are alternatively opposite

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6. When you barter, you must ________ <br> in order to buy something.

Lubov Fominskaja [6]

Answer:

When you barter, you must trade it for something else in order to buy something.

Step-by-step explanation:

8 0

3 years ago

A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly

earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

A survey showed that 77% of us need correction, hence p = 0.77.

13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

$P(X \geq 12) = P(X = 12) + P(X = 13)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299$

$P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334$

Then:

$P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163$

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0

2 years ago

The sides of a square are five to the power of two fifths inches long. How is that written in radical form?

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