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vivado [14]
3 years ago
5

Find f(-2) for f(x) = 2*3^x

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

2/9 so B

Step-by-step explanation:

apex

denis-greek [22]3 years ago
4 0

f(x) = 2 \cdot 3^x

f(-2) = 2 \cdot 3^{-2} = 2 \cdot \dfrac{1}{3^2} = \dfrac 2 9

Answer: B

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The quotient of 9 more than the radius, r, and 6
Goryan [66]

Answer:

(9 + r)/6

Step-by-step explanation:

3 0
2 years ago
You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte
Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \,  otherwise }} \right.

a)  We calculate  the probability that you need less than 5 minutes to get up:

P(x

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate  the probability that you will need between 8 and 13 minutes:

P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3

Therefore, the probability is P(8<x<13)=0.3.

d)  We calculate the probability that you will be late to each of the 9:30am classes next week:

P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6

You have 9:30am classes three times a week.  So, we get:

P=0.6^3=0.216

Therefore, the probability is P=0.216.

e)  We calculate the probability that you are late to at least one 9am class next week:

P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1

Therefore, the probability is P=1.

3 0
3 years ago
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES
Lubov Fominskaja [6]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
What to numbers should go here
Nuetrik [128]
44 because 4 times 1 is 4 and 6 times 4 is 24 so in the answer would be 2240
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In how many ways can 12 one-dollar coins be shared between Josh, Frank, and Suzy if each of them receives at least 3 coins?
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You would use the counting principal. 12X3X3
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