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Mathematics

2 answers:

shutvik [7]3 years ago

4 0

Answer: D

Step-by-step explanation:

NOTES:

x-intercept is when y = 0
y-intercept is when x = 0

f(x) g(x)

x-int: 1 -1

y-int: -1 1

A) x-intercepts are not equal so FALSE

B) y-intercepts are not equal so FALSE

C) y-intercept of f(x) is not greater than g(x) so FALSE

D) x-intercept of f(x) is greater than g(x) so TRUE

hichkok12 [17]3 years ago

3 0

Answer: Choice D) x intercept of f(x) is larger then the x intercept of g(x)

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Explanation:

A) False. The x intercept of f is 1 while the x intercept of g is -1. The x intercept happens when y = 0. Visually, this is where the graph crosses the x axis.

B) False. The y intercept of f(x) is -1, compared to the y intercept of g(x) is +1. The y intercept happens when x = 0, which is when the graph crosses the y axis.

C) False. The y intercept of f(x) is actually smaller than the y intercept for g(x)

D) True. The x intercept of f(x) is larger than the x intercept of g(x). Compare 1 and -1, which are the x intercepts for f and g in that order.

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Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a p

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Answer:

The probability that the business makes a profit in exactly two of its first three years is 0.628.

Step-by-step explanation:

Given : Assume that the business makes a profit with probability 0.8 in the first year. For each year thereafter, the business makes a profit with probability 0.9 if it made a profit in the previous year, and with probability 0.2 if it did not make a profit in the previous year.

To find : What is the probability that the business makes a profit in exactly two of its first three years?

Solution :

Let X be the event that the business makes profit.

Y be the event that the business doesn't .

The business makes a profit with probability 0.8 in the first year.

For each year thereafter, the business makes a profit with probability 0.9.

It did not make a profit in the previous year is 0.2.

According to question,

The business makes a profit in exactly two of its first three years which is given by, XXY, XYX, YXX

So,

$P(XXY)=0.8\times 0.9\times (1-0.2)$