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3 years ago

Find the missing length of the triangle. 26 in. a 24 in.

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

<h3>Answer: a = 10</h3>

Work Shown:

Apply the pythagorean theorem to get...

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 + 576 = 676

a^2 = 676 - 576

a^2 = 100

a = sqrt(100)

a = 10

Elis [28]3 years ago

3 0

Answer:

Step-by-step explanation:

26^2-24^2=100

sqrt of 100 is 10

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An urn contains 5 white and 10 black balls. A fair die is rolled and that number of balls is randomly chosen from the urn. What

galina1969 [7]

Answer:

Part A:

The probability that all of the balls selected are white:

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

$P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

Step-by-step explanation:

A is the event all balls are white.

D_i is the dice outcome.

Sine the die is fair:

$P(D_i)=\frac{1}{6}$ for i∈{1,2,3,4,5,6}

In case of 10 black and 5 white balls:

$P(A|D_1)=\frac{5_{C}_1}{15_{C}_1} =\frac{5}{15}=\frac{1}{3}$

$P(A|D_2)=\frac{5_{C}_2}{15_{C}_2} =\frac{10}{105}=\frac{2}{21}$

$P(A|D_3)=\frac{5_{C}_3}{15_{C}_3} =\frac{10}{455}=\frac{2}{91}$

$P(A|D_4)=\frac{5_{C}_4}{15_{C}_4} =\frac{5}{1365}=\frac{1}{273}$

$P(A|D_5)=\frac{5_{C}_5}{15_{C}_5} =\frac{1}{3003}=\frac{1}{3003}$

$P(A|D_6)=\frac{5_{C}_6}{15_{C}_6} =0$

Part A:

The probability that all of the balls selected are white:

$P(A)=\sum^6_{i=1} P(A|D_i)P(D_i)$

$P(A)=\frac{1}{6}(\frac{1}{3}+\frac{2}{21}+\frac{2}{91}+\frac{1}{273}+\frac{1}{3003}+0)\\ P(A)=\frac{5}{66}=0.075757576$

Part B:

The conditional probability that the die landed on 3 if all the balls selected are white:

We have to find $P(D_3|A)$

The data required is calculated above:

$P(D_3|A)=\frac{P(A|D_3)P(D_3)}{P(A)}\\ P(D_3|A)=\frac{\frac{2}{91}*\frac{1}{6}}{\frac{5}{66} } \\P(D_3|A)=\frac{22}{455}=0.0483516$

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3 years ago

What is the slope of the line that contains the points in the table ?

zubka84 [21]

Answer: -2

Step-by-step explanation:

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3 years ago

What is the range and domain of this question? im unsure

Naya [18.7K]

Answer:

Step-by-step explanation:

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Range is the dependent variable (y)

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3 years ago

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astraxan [27]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

of the 200 guests thay attended a party,132 brought a present for the host .what percent of the guests broight a present ?

nordsb [41]

132/ 200 = .66
66 percent of guests brought a present.

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3 years ago