Answer:
3/4 or 75% are boys
Step-by-step explanation:
Answer:
5sqrt3
Step-by-step explanation:
Using the pythagorean theorem, we have a^2+4^2=9^2
a^2 + 16 = 81
a^2 = 75.
a = sqrt75.
75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3
Answer: 0.206
Step-by-step explanation:
Given that :
Height of American men is normally distributed :
Mean height (μ) = 69.7 inch
Standard deviation (σ) = 2.8 inch
Probability that height of a randomly selected man is more than 72 inches
P(X > 72)
Obtain the standardized score (Zscore):
Zscore = (x - μ) / σ
Zscore = (72 - 69.7) / 2.8
Zscore = 2.3 / 2.8
Zscore = 0.8214285
Zscore = 0.8214
Using the Z probability calculator ;
P(Z > 0.8214) = 0.20571
Probability of selecting a man whose height is more Than 72 is 0.206
Answer:
a₁ = 250
Step-by-step explanation:
Use the given values in the formula for the sum of a geometric series, and solve for the unknown.
__
S₆ = a₁×(1 -r⁶)/(1 -r) . . . . sum of 6 terms of a geometric series
922.32 = a₁×(1 -(4/5)⁶)/(1 -4/5) = a₁×5×(1 -4096/15625) = a₁×11529/3125
922.32×3125/11529 = a₁ = 250 . . . . divide by the coefficient of a₁
