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3 years ago

Which statement implies that A and B are independent events?

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

$P(A \cap B) = P(A)P(B)$

Step-by-step explanation:

Independent events:

If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:

$P(A \cap B) = P(A)P(B)$

In this question:

The statement is $P(A \cap B) = P(A)P(B)$

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Please help 30 points

KIM [24]

The answer to the equation is 298

4 0

3 years ago

8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

7 0

3 years ago

A bank is offering 2.5% simple interest on a savings account . if you deposit $5000, how much interest will you earn in one year

hjlf

Answer: $1,500

I=PRT

I=(5000)(.025)(12)

I=$1,500

4 0

3 years ago

Simplify the following expression. Write the resulting polynomial in descending order.

Inessa [10]

Answer: 4x² + x - 2

Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²

Now let's work on the second part:

Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals

12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:

4x² + x - 2.

7 0

3 years ago

PLZ I NEED HELP UNDERSTANDING THIS SOMEONE PLZ HELP ME

tatuchka [14]

Answer:

Step-by-step explanation:

180°-104°=76°( sum of angles A and B)

76°÷2=38°

x=38°

Bcuz it is an isosceles triangle ( a triangle with 2 equal sides). So, angle B and A are equal. thats why 76° must be divided by 2.

180°-104°=76°(angles on a straight line)

180°-76°=104° (sum of angle A and C)

104°÷2=52°

y=52°

it is also an isosceles triangle.

x+y=38+52=90°

7 0

3 years ago