Step-by-step explanation:
P(W^c) = 1-3/5
=5-3/5 =2/5
Answer:
A) σ_x' = 1.4142
B) σ_x' = 1.4135
C) σ_x' = 1.4073
D) σ_x' = 1.343
Step-by-step explanation:
We are given;
σ = 10
n = 50
A) when size is infinite, the standard deviation of the sample mean is given by the formula;
σ_x' = σ/√n
Thus,
σ_x' = 10/√50
σ_x' = 1.4142
B) size is given, thus, the standard deviation of the sample mean is given by the formula;
σ_x' = (σ/√n)√((N - n)/(N - 1))
Thus, with size of N = 50,000, we have;
σ_x' = 1.4142 x √((50000 - 50)/(50000 - 1))
σ_x' = 1.4142 x 0.9995
σ_x' = 1.4135
C) at N = 5000;
σ_x' = 1.4142 x √((5000 - 50)/(5000 - 1))
σ_x' = 1.4073
D) at N = 500;
σ_x' = 1.4142 x √((500 - 50)/(500 - 1))
σ_x' = 1.343
Answer: sin=32/40=4/5, cos=24/40=3/5, tan=32/24=4/3
Step-by-step explanation:
Answer:
Explanation:
The car travel 10ft north then 15ft due west. In order to find the distance from starting point. We need to find the hypotenuse where the distance to north and west are the adjacent side.
We can use Pythagorean’s theorem according to that:
Let c be the distance from starting point.
And a and b be the distance travel to north and west.
a^2 + b^2 = c^2
10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
Sqrt(325) = c
5sqrt(13) = c
Therefore, the distance from starting point is 5sqrt(13) ft
You need to invest $3000 at the 5% interest rate and invest $5000 the 6% interest rate to get a total annual interest of $450
