699,548
655,417
689,414
701,000
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
6 x (-1)
3 x (-2)
(-3) x 2
-6 x 1
-60/10
-6000/1000
-|-6|
-5 + (-1)
-3 + (-3)
-10 + 4
the additive inverse of 6
-6 + 0
0 - 6
Hey there! I'm happy to help!
We want to see how many times bigger 2/5 is than 9/10. Let's call how much bigger 2/5 is b and solve below.
9/10b=2/5 (2/5 is b times larger than 9/10)
We divide both sides by 9/10, so your division would be 2/5÷9/10.
b=4/9
Therefore, the builder worked 4/9 times as long in the morning as he did in the afternoon.
Have a wonderful day! :D
