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Vinvika [58]
3 years ago
11

Suppose the probability of an event occurring is P(A), and the probability of the event not occurring is P(A’). If P(A)= x and P

(A’)= y, which of the following equations must be true
Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

The correct answer is A) t = 1-s.

The probability of the complement of an event is the probability of the event subtracted from 1; in other words

P(A') = 1 - P(A)

Since P(A') = t and P(A) = s,  

t = 1-s

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Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

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7 0
1 year ago
According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits abo
Minchanka [31]

Answer:

B. The mean amount of CO_2 emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg

Step-by-step explanation:

A Type II error is the failure to reject a false null hypothesis.

Given the null and alternate hypothesis of a fuel company which wants to test a new type of gasoline designed to have lower CO_2 emissions.:

H_0: \mu = 8.9 kg\\H_a: \mu < 8.9 kg \\\text{ (where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline)}

where \mu is the mean amount of CO_2 emitted by burning one gallon of this new gasoline.

If the null hypothesis is false, then:

H_a: \mu < 8.9 kg

A rejection of the alternate hypothesis above will be a Type II error.

Therefore:

The Type II error is: (B) The mean amount of CO_2  emitted by the new fuel is actually lower than 89 kg but they fall to conclude it is lower than 89 kg.

8 0
3 years ago
Add: 6(x + 7) + (x + 3
Dvinal [7]
The answer is
6X+42+x+3
7x+ 45
8 0
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Joshua used two wood beams, PC and QA, to support the roof of a model house.
Mazyrski [523]

Answer:

\boxed{\boxed{PQ=3.6\ in}}

Step-by-step explanation:

As it is given as ΔQRP and ΔARC are similar, so the ratio of their corresponding sides will be same.

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Putting the values,

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This is part two of the problem go check part one so it makes sense
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Answer:Execute Order 66

Step-by-step explanation:

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