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Pachacha [2.7K]
3 years ago
8

On a piece of paper, use a protractor to construct a triangle with measures of 50 and 70.

Mathematics
2 answers:
katovenus [111]3 years ago
8 0
<span>On a piece of paper, use a protractor to construct a triangle with measures of 50 and 70.
what is the measure of the third angle???
1.60 
2.80
3.100
4.180</span>
Nutka1998 [239]3 years ago
6 0
Your answer is 60

a triangles angles add up to 180

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Does anyone know how to do this?
sineoko [7]

Answer:

\boxed{\tt x=\sqrt{85} }

Step-by-step explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.

\boxed{{\tt a^2+b^2=c^2}}

→ \tt a=9

→ \tt b=2

→ \tt c=x

<u>Let's Plug in the side lengths:</u>

  • \tt 9^2+2^2=x^2

<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>

  • \tt 81+4=x^2

<u>Now, add 81+4= 85</u>

  • \tt 85=x^2

<u>Take the square root of both sides:</u>

  • \tt x=\sqrt{85}

_____________________________

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2 years ago
What is 9.75 times 3
astra-53 [7]

Step-by-step explanation:

please mark me as brainlest

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2 years ago
Holly missed 6 of 184 school days this year. Approximately what percent of school days was Holly in attendance?
schepotkina [342]

Answer:

3.26% absent.

96.74 % present.

5 0
2 years ago
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Which comparison is true? Use the number line to help you. A number line going from negative 6 to positive 6 in increments of 1.
Arlecino [84]

Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)

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2 years ago
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Suppose that 76% of Americans prefer Coke to Pepsi. A sample of 80 was taken. What is the probability that at least seventy perc
Anastasy [175]

Answer:

C. 0.896

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 80, p = 0.76

So

E(X) = np = 80*0.76 = 60.8

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80*0.76*0.24} = 3.82

What is the probability that at least seventy percent of the sample prefers Coke to Pepsi?

0.7*80 = 56.

This probability is 1 subtracted by the pvalue of Z when X = 56. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{56 - 60.8}{3.82}

Z = -1.26

Z = -1.26 has a pvalue of 0.1040.

1 - 0.1040 = 0.8960

So the correct answer is:

C. 0.896

4 0
3 years ago
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