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natta225 [31]
2 years ago
8

Use the function below to find f(2)

Mathematics
2 answers:
Flauer [41]2 years ago
7 0

Answer:

B

Step-by-step explanation:

To find the answer, plug in 2 anywhere you see x and solve

1/3 x 4^(2)

When you simplify, this becomes

1/3 x 16.

Now multiply the two numbers and get 16/3, which is B

Viefleur [7K]2 years ago
5 0

Answer:

B.) 16/3

Step-by-step explanation:

f(x) = 1/3 • 4^x

f(2): Is when x = 2

f(2) = 1/3 • 4^2

f(2) = 1/3 • 16

f(2) = 16/3, 5 1/3, or 5.333 (3 repeating)

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Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as  an actual time of the  battery charging, that is a uniform random variable that x \sim U(90, 120)

 In point a:

so, pdf of x =

\to f(x)= \frac{1}{120-90}  = \frac{1}{30} \\\\\to 90 < x

In point b:

To find

\to P(x

In point c:

\to P(x

In point d:

\to P(95< x< 110)

= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}

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Step-by-step explanation:

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3. Evaluate<br> (-2)^3 + (-5+8)/3-15
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Please help me :)))))
svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
2 years ago
Read 2 more answers
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