1. y=f(x)=170x-4 is a function with variable x representing a year.
2. Let's consider the difference between 2 consecutive years, say year 3 and year 4
f(3)=170*3-4
f(4)=170*4-4
we expect f(3)-f(4) to be 4 since after 4 years, the water will be 4 feet less than after 3 years.
check: f(3)-f(4)=(170*3-4)-(170*4-4)=170*3-4-170*4+4=170*3-170*4=170*(3-4)=170*(-1)=-170
Answer:
34% of lightbulb replacement requests numbering between 47 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
Trig problem here. We have 2 right triangles, the one on the left and on the right. They share one side. To find the length of this side, look at the left triangle. The hypotenuse is 44 and theta is 25, and since cos(theta)=adjacent/hypotenuse, cos(25)=adjacent/44 therefore the sidelength is 44cos(25). We are looking for x and now have an angle and a side for the righthand side right triangle so because tan(theta)=opposite/adjacent, tan(34)=opposite/(44cos(25)) therefore the opposite side is 44*cos(25)*tan(34)
Answer:
A.
Step-by-step explanation:
Formula for volume is: Length x width x height.
5 x 8 x 1.5
Therefore, your answer is 60 ft^3.
Answer:
(4,2 1/2)
Step-by-step explanation:
