Part 1-
1. domain= (-3,3) range= (1/3,infinity)
2. domain = (-infinity, 0) U (0, infinity) range= (-infinity, -2) U (2, infinity)
3. (the first picture)
part 2-
1. (the second picture)
2. (the third picture)
15 minutes since every 15 minutes the hand passes 1/4 of its cycle, meaning that the smaller hand would be at a 90 degree angle from the larger hand
Answer:
(B) Mean 3 and standard deviation 5
Step-by-step explanation:
Property of mean
The mean of the sum or difference of two random variable R and S is the sum of their means.
μ (R-S) = μ(R) - μ(S)
μ(R-S) = 10 - 7 = 3
Property of standard deviation
The variance of Independent variable R and S is is the sum of their variances. Even when we subtract two random variables, we still add their variances; subtracting two variables increases the overall variability in the outcomes.
σ^2(R-S) = σ^2 (R) + σ^2(S)
= 16 + 9 ( variance = (standard deviation)^2 )
= 25
σ(R-S) = 5
30 times .65= 19.5
19.5 is 65% of 30
Answer:
(9/2)√x.
Step-by-step explanation:
Convert the radical to an exponent.
x√x = x^1 * x^1/2
= x^(1 + 1/2)
= x^3/2
So the derivative of 3x^3/2 is found as follows:
y' = 3 * 3/2x^(3/2 - 1)
= (9/2)x^1/2
= (9/2)√x.