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artcher [175]
2 years ago
14

PLEASE HELP ME WITH THIS QUESTION

Mathematics
1 answer:
shusha [124]2 years ago
7 0

Answer:

66°

Step-by-step explanation:

∠A = ½·132° = 66°

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You are given the information that P(A) = 0.30 and P(B) = 0.40.
Ad libitum [116K]

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>.  

7 0
3 years ago
When dividing a decimal by 10³, how is the decimal point moved?
shtirl [24]

Answer:

3 digits to the left side

Step-by-step explanation:

The decimal point will move 3 digits to the left side when dividing a decimal by 10³.

8 0
2 years ago
Tables
disa [49]

Answer:

6

Step-by-step explanation:

got it right on edge

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3 years ago
How do you find the x in f(x)=3x-11
galina1969 [7]
Simplify
f(x) = 3 + 11
Multiple
fx = 3x + 11
<span>Solving for variable 'f'.
 Move all terms containing f to the left, all other terms to the right.
 Divide each side by 'x'. f = 11x-1 + 3
 Simplifying f = 11x-1 + 3
 Reorder the terms: f = 3 + 11x<span>-1</span></span>
7 0
3 years ago
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