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lions [1.4K]
3 years ago
7

Please solve. Evaluate the function.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

Answer:

(g o f)(x) = \sqrt{-510} (not simplified)

Step-by-step explanation:

(g o f)(x) = g(f(x))

g(x) = \sqrt{3x}  f(x) = x^{3} + 9x

g(f(-5)) = g((-5)^{3} + 9(-5) = (-125) + (-45) = -170

g(-170) = \sqrt{3(-170)} = \sqrt{-510}

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A travelling salesman sells milkshake mixing machines and on average sells 8.9 machines per month. He needs to sell at least 3 m
Goshia [24]

Answer:

0.67% probability he will have to shut down after this month

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

On average sells 8.9 machines per month.

So \mu = 8.9

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001

P(X = 1) = \frac{e^{-8.9}*8.9^{1}}{(1)!} = 0.0012

P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0001 + 0.0012 + 0.0054 = 0.0067

0.67% probability he will have to shut down after this month

5 0
3 years ago
Mary and Frank combine the marbles into one bag to do an experiment where they pick a marble from a bag and toss a coin. In the
Strike441 [17]

Answer:if We should put it in a decimal it’s 0.1 as a fraction it’s 11/110

Step-by-step explanation: You have to add all the numbers from the table and then add 11 wich makes it 11/110 you also add 11 beacahss it’s how many times yellow has landed on tails hope I am right

3 0
3 years ago
The cost of 19/4 m of wire Is Rs.171/2 .The cost of one meter of the wire is ________.​
Pavel [41]

Answer:

.The cost of one meter of the wire is _<em><u>Rs18</u></em>_______.

Step-by-step explanation:

the cost of 19/4 m of wire = Rs.171/2

the cost of 1m of wire = Rs.171/2×4/19=Rs18

5 0
3 years ago
Help me out in this question please
QveST [7]

Answer:

The Answer is D, 6 1/12

Step-by-step explanation:

1. 3 1/4 = 3 3/12

2. 2 5/6 = 2 10/12

3. 3 3/12 + 2 10/ 12 = 5 13/12

4. 5 13/12 = 6 1/12

5 0
3 years ago
Read 2 more answers
Solve for r.<br> -30 = 5(x + 1)
maria [59]

Answer:

-7

Step-by-step explanation:

so first we multiply 5 to the numbers in the parenthesis

-30=5X+5

then we subtract 5 from both sides

-30=5X+5

-5          -5

which equals

-35=5X

then we divide 35by5 which is 7 and since 35 is negative the answer will be

X= -7

hope you understand

7 0
3 years ago
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