M < 2 and m < 6 are corresponding angles and are equal....so < 6 = 132.
< 6 and < 8 form a line and are equal to 180
< 6 + < 8 = 180
132 + < 8 = 180
< 8 = 180 - 132
< 8 = 48 <===
A. Is the answer!
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Each tray is 1/5 purple. So one tray is 1/5 purple, and if you add another tray, you're adding the same amount of each color, so it's now 2/10 purple, which simplifies to 1/5. No matter how many you add, the fraction will be 1/5.
Answer:
x=12
Step-by-step explanation:
2x-15 + 2x-6 = 15
4x = 36
x = 9
2 x 9 - 6 = 12
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
