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3 years ago

Find expressions for the possible dimensions of the rectangular prism.

Mathematics

1 answer:

saul85 [17]3 years ago

8 0

Answer:

The possible dimensions are y, 5y + 2 and y + 7.

Step-by-step explanation:

V = 5y^3 + 37y^2 + 14 y

y is common to all 3 terms so

V = y(5y^2 + 37y + 14)

V = y (5y + 2)(y + 7)

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Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3

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Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

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Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States. In Australia, only 1.5% of

Umnica [9.8K]

Answer:

a. X is a binomial random variable with n = 50 and p = 0.04

b. Y is a binomial random variable with n = 40 and p = 0.015

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

X: the number of US residents (out of 50) with blood type AB.

Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States

This means that $p = 0.04, n = 50$

Y: the number of Australians (out of 40) with blood type AB.

In Australia, only 1.5% of the population has blood type AB.

This means that $p = 0.015, n = 40$

Z: the total number of individuals (out of 90) with blood type AB.

Here

$n = 90, p = 0.04*\frac{50}{90} + 0.015*\frac{40}{90} = 0.0289$

Which of the following is true about the random variables X, Y, and Z?

Options a and b are true, while c is false.

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3 years ago