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3 years ago

PLEASE HELP

Mathematics

2 answers:

algol133 years ago

8 0

Independent events mean that one event happening does not have to have the other event to happen.

The probability of both events happening is the product of the events.

The answer would be:

E. P(A ∩ B) = P(A) x P(B)

Whitepunk [10]3 years ago

6 0

Answer: The correct option is

(E) $P(A\cap B)=P(A)\times P(B).$

Step-by-step explanation: We are given to select the correct equation that implies that A and B are independent events.

We know that

if two events are independent of each other, then the probability of event "A and B" is equal to the product of the probabilities of the two events.

Since A and B are independent events, so we must have

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

Thus, the required equation that implies that A and B are independent events is

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

Option (E) is CORRECT.

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What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?

Ivan

The simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is <span>6 over the quantity 4 x plus 3.

</span>

The solution would be like this for this specific problem:

( 3 /( 2x+5 )) + ( 21 / (8x^2 + 26x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (8x^2 + 20x + 6x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (4x(2x + 5) + 3(2x + 5))
= ( 3 /( 2x+5 )) + ( 21 /(2x + 5)(4x + 3)
= [ 3 (4x + 3) + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 9 + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 30 ] /(2x + 5)(4x + 3)
= 6(2x + 5) /(2x + 5)(4x + 3)
= 6 / (4x + 3)

<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

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2 years ago

A bottle holds 8.2 ounces of disinfecting soap. Jesse used 0.2 of the soap in the bottle to clean the kitchen floor. How many ou

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3 years ago

If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha

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Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

Step-by-step explanation:

We are given the following information in the question:

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Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

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We have to find the value of x such that the probability is 0.03.

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Calculation the value from standard normal z table, we have,

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Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

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2 years ago

Sarah has 30 oranges an 48 plums . What is the ratio of oranges to plums

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Answer:

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Step-by-step explanation:

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2 years ago

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