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SVETLANKA909090 [29]
3 years ago
6

G(n)=3n^3-5 h(n)=2n-5 find(g+h)(2)

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

g(n) = 3n³ - 5           h(n) = 2n - 5              (g + h)(2) = g(2) + h(2)

g(2) = 3(2)³ - 5  = 3(8) - 5   = 24 - 5   = 19

h(2) = 2(2) - 5   = 4 - 5   = -1

g(2) + h(2) = 19 + -1   = 19 - 1   = 18

Answer: 18

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Answer:

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Step-by-step explanation:

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5 0
2 years ago
Suppose that the rate of return on stocks is normally dis-tributed with mean of 9% and a standard deviation of 3%. If I pick fiv
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Answer:

The probability that at least two stocks will have a return of more than 12% is 0.1810.

Step-by-step explanation:

Let <em>X</em> = rate of return on stocks.

The random variable <em>X</em> follows a Normal distribution, N (9, 3²).

Compute the probability that a stock has rate of return more than 12% as follows:

P(X\geq 12)=1-P(X

**Use the <em>z</em> table for the probability.

The probability of a stock having rate of return more than 12% is 0.1587.

Now define a random variable <em>Y</em> as the number of stocks that has rate of return more than 12%.

The sample size of stocks selected is, <em>n</em> = 5.

The random variable <em>Y </em>follows a Binomial distribution.

The probability of a Binomial distribution is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...

Compute the value of P (X ≥ 2) as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              =1-{5\choose 0}(0.1587)^{0}(1-0.1587)^{5-0}-{5\choose 1}(0.1587)^{1}(1-0.1587)^{5-1}\\=1-0.4215-0.3975\\=0.1810

Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.

6 0
3 years ago
Cylinder A has radius r, height h, and a volume of 10pi cubic units. Cylinder B has twice the radius and twice the height.
viva [34]

Answer:

Step-by-step explanation:

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4 0
3 years ago
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Ten thousands is the answer
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How many 5-digit numbers can be formed from the integers 1, 2, ... , 9 if no digit can appear more than twice?
elena-14-01-66 [18.8K]
5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
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5th fight has 5 possibilities
Therefore the answer is:
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6 0
3 years ago
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