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Likurg_2 [28]
3 years ago
5

Describe the transformations of f(x) = x3 represented by g(x) = (x - 6) - 2.

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

Step-by-step explanation:

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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
alisha [4.7K]

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
81% passed. What percent did not pass?
Hitman42 [59]
100% - 81% = 19%

19% did not pass.
7 0
3 years ago
Evaluate the expression
Lilit [14]

Answer:

<h2>2^7</h2>

Multiply

2^3 by 2^4 by adding the exponents.

Use the power rule

a^m a^n=a^m+n

to combine exponents.

2^3+4

Add 3 and 4.

2^7

Raise 2 to the power of 7.

128

Step-by-step explanation:

Hope it is helpful....

7 0
3 years ago
Which of the following values are in the range of the function graphed below?
slava [35]
The range is the output or the y values in the case of this function. The only y value on this function is 1 therefore the range is 1
5 0
3 years ago
Read 2 more answers
Jamal and Sean plan to make T-shirts to sell at a fair. Jamal plans to make 6 T-shirts
Butoxors [25]

Answer:

Jamal will have made 12 more T-shirts than Sean on the 6th day.

Step-by-step explanation:

1 day for Jamal - 6 T-shirts.                                                                                        1 day for Sean - 4 T-shirts.                                                                                               2 day for Jamal - 12 T-shirts.                                                                                                  2 day for Sean - 8 T-shirts.                                                                                                     3 day for Jamal - 18 T-shirts.                                                                                              3 day for Sean - 12 T-shirts.                                                                                               4 day for Jamal - 24 T-shirts.                                                                                                  4 day for Sean - 16 T-shirts.                                                                                                   5 day for Jamal - 30 T-shirts.                                                                                                5 day for Sean - 20 T-shirts.                                                                                             6 day for Jamal - 36 T-shirts.                                                                                                   6 day for Sean - 24 T-shirts.                                                                                           Number between 24 and 36 = 12.

3 0
2 years ago
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