Step-by-step explanation:
f(x) = x² - x³
f(-2) = (-2)² - (-2)³
= 4 - (-8)
= 4 + 8 = 12
Answer:
40 baskets
Step-by-step explanation:
Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.
Answer:
960
Step-by-step explanation:
The simple interest formula is the following:
I = P*r*t
Where I is the interest generated after t years, P is the inicial value and r is the rate of interest.
In this case, we have that the inicial value is P = 4000, the rate of interest is r = 8% = 0.08 and the amount of time invested is t = 3 years.
So, the interest will be:
I = 4000*0.08*3 = 960
Answer:
650%
Step-by-step explanation:
Answer:
0.5488 = 54.88% probability that there are no defects in the completed highway.
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:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
The portion of highway that your city is building is 30 miles long.
The mean is one defect per 50 miles. Since the highway is 30 miles, we have that:

What is the probability that there are no (0) defects in the completed highway?
This is P(X = 0). So


0.5488 = 54.88% probability that there are no defects in the completed highway.