Answer:
3, in both a), b)
Step-by-step explanation:
a) The slope of the line tangent to the curve that passes through the point (2,-10) is equal to the derivative of p at x=2.
Using differentiation rules (power rule and sum rule), the derivative of p(x) for any x is . In particular, the value we are looking for is .
If you would like to compute the equation of the tangent line, we can use the point-slope equation to get
b) The instantaneus rate of change is also equal to the derivative of P at the point x=2, that is, P'(2). This is equal to .
Answer:
yes
Step-by-step explanation:
Answer:
4.7 yd
Step-by-step explanation:
The horizontal lines in the diagram are parallel, so the angle of depression at D and the angle of elevation at F are congruent. So, you have a right triangle with the measure of one acute angle (F) and the length of the adjacent side (EF = 10 yd). You are being asked to find the opposite side (DE).
The mnemonic SOH CAH TOA reminds you of the necessary relation:
Tan = Opposite/Adjacent
Filling in the given information, you have ...
tan(25°) = DE/(10 yd)
Multiplying by 10 yd gives ...
(10 yd)tan(25°) = DE ≈ 4.663 yd ≈ 4.7 yd
Answer:
C.0.4 or A.
0.5
Step-by-step explanation:
I hope you get it right
Answer:
The minimum sample size needed is 125.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
For this problem, we have that:
99% confidence level
So , z is the value of Z that has a pvalue of , so .
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when
So
Rounding up
The minimum sample size needed is 125.