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AVprozaik [17]
3 years ago
12

Which triangle congruence theorem proves the triangles below are congruent

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

ASA

Step-by-step explanation:

This is because the two triangles have two angles and a side that are equal to each other.

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Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
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Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

P(X) = \left[\begin{array}{ccc}n\\X\end{array}\right].p^{x}.(1-p)^{n-x}

P(20) = \left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}

P(20) = \frac{53!}{33!.20!}.3.5.10^{-11}.7.7.10^{-6}

P(20) = 0.0552

To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

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n.(1-p) = 53(1-0.3) = 37.1

Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = \sqrt{n.p.(1-p)} = 3.34

Find the z-score:

z = \frac{x - mean}{sd} = \frac{20-15.9}{3.34} = 1.23

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Comparing values:

0.8907 - 0.0552 = 0.8355

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3 years ago
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Step-by-step explanation:

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yaroslaw [1]

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<u>Order the numbers</u>

Before: 17,24,26,13,4,13,20,80

After: 4,13,13,17,20,24,26,80

<u>Add</u>

4+13+13+17+20+24+26+80=197

<u>Divide</u>

197÷8=24.625

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3 years ago
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