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Liula [17]
3 years ago
10

You are given the information that P(A) = 0.30 and P(B) = 0.40.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer:

1.B. No. You need to know the value of P(A and B). 2.C. Yes P(A and B) =0, so P(A or B) = P(A) + P(B).

Step-by-step explanation:

We can solve this question considering the following:

For two mutually exclusive events:

\\ A_{1}\;and\;A_{2}

\\ P(A_{1} or A_{2}) = P(A_{1}) + P(A_{2}) (1)

An extension of the former expression is:

\\ P(A_{1} or A_{2}) = P(A_{1}) + P(A_{2}) - P(A_{1} and A_{2}) (2)

In <em>mutually exclusive events,</em> P(A and B) = 0, that is, the events are <em>independent </em>one of the other, and we know the probability that <em>both events happen</em> <em>at the same time is zero</em> (P(A <em>and</em> B) = 0). There are some other cases in which if event A happens, event B too, so they are not mutually exclusive because P(A <em>and</em> B) is some number different from zero. Notice the difference between <em>OR</em> and <em>AND. The latter implies that both events happen at the same time.</em>

In other words, notice that the formula (2) provides an extension of formula (1) for those events that are not <em>mutually exclusive</em>, that is, there are some cases in which the events share the same probabilities in a way that these probabilities <em>must be subtracted</em> from the total, so those probabilities in common do not "inflate" the actual probability.

For instance, imagine a person going to a gas station and ask for checking both a tire and lube oil of his/her car. The probability for checking a tire is P(A)=0.16, for checking lube oil is P(B)=0.30, and for both P(A and B) = 0.07.

The number 0.07 represents the probability that <em>both events occur at the same time</em>, so the probability that this person ask for checking a tire or the lube oil of his/her car is:

P(A or B) = 0.16 + 0.30 - 0.07 = 0.39.

That is why we cannot simply add some given probabilities <em>without acknowledging if the events are or not mutually exclusive</em>, whereas we can certainly add the probabilities in question when we know that both probabilities are <em>mutually exclusive</em> since P(A and B) = 0.

In conclusion, knowing the events are mutually exclusive <em>does</em> provide <em>extra information</em> and we can proceed to simply add the probabilities of either event; thus, the answers are those in which <em>we need to previously know the value of P(A and B)</em>.  

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Simplify (3+√5)(3+√2)
ANEK [815]

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

<h3>Surd operation </h3>

a√b × c√d = (a × c)√(b × d)

<h3>How to simplify (3 + √5)(3 + √2)</h3>

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

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brainly.com/question/24700530

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2 years ago
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
ivolga24 [154]

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

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We now reduce 4/6.

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7 0
3 years ago
About 543 out of every 1,000 people in United States owned a cell phone in 2003.In japan,the are was 68 for every 100 people.How
Softa [21]

Answer:

The greater percent of cell phone ownership in Japan than the U.S was <u>13.7%</u>.

Step-by-step explanation:

Given:

About 543 out of every 1,000 people in United States owned a cell phone in 2003.

In japan,the are was 68 for every 100 people.

Now, to find the greater percent of cell phone ownership in Japan than the U.S.

So, to get the percent of people owned cell phone in United States:

\frac{543}{1000}\times 100

=0.543\times 100

=54.3\%.

Now, to get the percent of people owned cell phone in Japan:

\frac{68}{100} \times 100\\\\=0.68\times 100\\\\=68\%.

So, to get the percent greater of cell phone ownership in Japan than the U.S we subtract the percent of people owned cell phone in United States from the percent of people owned cell phone in Japan:

68\%-54.3\%\\\\=13.7\%.

Therefore, the greater percent of cell phone ownership in Japan than the U.S was 13.7%.

5 0
3 years ago
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vladimir1956 [14]

Answer:

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Step-by-step explanation i saw it there

7 0
2 years ago
I would really appreciate some help on this.
8_murik_8 [283]

Answer:

1. terms: 4r, 2, -6, and 3r        like terms: 2 and -6, 4r and 3r

2.terms: 5h^2, -3h^2, - 4h, 3h, 7       like terms: 5h^2 and -3h^2, - 4h and 3h

3. 3m + 6

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5. 3x + 9

Step-by-step explanation:

1. 4r + 2 - 6 +3r

  terms: 4r, 2, -6, and 3r                     like terms: 2 and -6, 4r and 3r

2. 5h^2 - 3h^2 - 4h + 3h + 7

   terms: 5h^2, -3h^2, - 4h, 3h, 7       like terms: 5h^2 and -3h^2, - 4h and 3h

3. 6m + 7 - 3m-1

   3m + 6

4. 3(5b +2) - 4

   15b + 6 - 4

   15b + 2

5. 2x + 4 + 5 + x

   3x + 9

5 0
3 years ago
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