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dimulka [17.4K]
1 year ago
12

Evaluate 3x for x = -2, x = 1, and x = 3.

Mathematics
2 answers:
xenn [34]1 year ago
8 0

Answer: A. 1/9, 3, 27

Step-by-step explanation:

3^x for x = -2

= 3^-2 = 1/9

3^x for 1

= 3^1 = 3

3^x for 3

= 3^3 = 27

hope this helped

marusya05 [52]1 year ago
5 0
Option A is correct.

Put the values of x in 3^x and you will get the answer corresponding to option A
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Answer:

f(x) means y

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Step-by-step explanation:

f(x) means y

For 0, 2

y = 3/2(0) + 2

y = 2

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y =3/2(2) + 2

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A man and a woman agree to meet at a certain location about 12:30 pm. If the man arrives at a time uniformly distributed between
dimaraw [331]

Explanation.

The question is incomplete. However, the complete part of the question simply states that:  What is the probability  that the man arrives first?

Answer:

Therefore, we can say that the probability that the man will arrive first is half that is 1/2 while the probability that no one will wait more than five times is 1/6

Step-by-step explanation:

We assume the man and the woman arrive at 12:X and 12:Y  respectively (1:00 is 12:60). Also, the space of X and Y are [15, 45]  and [0, 60] respectively, and fₓ (x) ≡ 1 / (45 − 15) = 1/30, fy (y) ≡  1 / (60 − 0) = 1 / 60.

So the joint pdf of X and Y is

f(x, y) = 1 / 30 x 1 / 60

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where ( x , y ) ∈ [15, 45] × [0, 60].

Consequentially,

P(| X − Y | ≤ 5) = ∫ Iim (45)(15) ∫ lim (x+5)(x-5) f (x,y)dydx

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= 1 / 1800  ∫ Iim (45)(15) y | ⁶⁰ₓ dx

=  1 / 1800 ∫ Iim (45)(15) ( 60 - x ) dx

= 60 x − x  ²/2 ÷ 1800 ║⁴⁵₁₅

= 1 / 2

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