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3 years ago

1) -7(5j + 5) distributive property

Mathematics

2 answers:

goblinko [34]3 years ago

8 0

Answer:

-35j-35

Step-by-step explanation:

Archy [21]3 years ago

6 0

Answer:

-35j-35

Step-by-step explanation:

−7(5j+5)

=(−7)(5j+5)

=(−7)(5j)+(−7)(5)

=−35j−35

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Is the number 29 prime or composite? prime composite

Alenkasestr [34]

Its a prime number because 29 goes in to 10 numbers

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3 years ago

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:

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

7 0

3 years ago

Mary borrowed $6000 from a bank for 3 years and was charged simple interest. The total interest that she paid on the loan was $7

daser333 [38]

4.17

Step by step : I don’t know if it’s right but I did $6000 x 3 cause he did it for 3 year and then it came up to $18,000 then I did what is the percentage of 750$ in $18,000 and got 4.17

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3 years ago

A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and

Naily [24]

Y=2.5x as each time it increases by 2.5

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2 years ago

Read 2 more answers

Solve for b. ab +c=d

timama [110]

Answer: B = $\frac{-c}{a}$ + $\frac{d}{a}$

Step-by-step explanation:

you need to get B alone so that would be subtracting everything around it

ab = -c + d

then you need to get that a away from it by dividing both sides by A

B = $\frac{-c}{a}$ + $\frac{d}{a}$

6 0

3 years ago