Answer:
P(2.50 < Xbar < 2.66) = 0.046
Step-by-step explanation:
We are given that Population Mean, 
= 2.58 and Standard deviation, 
= 0.75
Also, a random sample (n) of 110 households is taken.
Let Xbar = sample mean household size
The z score probability distribution for sample mean is give by;
Z = 
~ N(0,1)
So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)
P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar 
2.50)
P(Xbar < 2.66) = P( < 
) = P(Z < -1.68) = 1 - P(Z 1.68)
= 1 - 0.95352 = 0.04648
P(Xbar 2.50) = P( 
) = P(Z -3.92) = 1 - P(Z < 3.92)
= 1 - 0.99996 = 0.00004
Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046
1,725 yards, because 575×3=1,725. Or 575+575+575=1,725
1) x³ + 2x² - x - 2 2) 2x³ + 5x² - 8x - 20 = 0
x²(x + 2) - (x + 2) x²(2x + 5) - 4(2x + 5) = 0
(x + 2)(x² - 1) (2x + 5)(x² - 4) = 0
(x + 2)(x - 1)(x + 1) x = -5/2, +-2
x = -2, 1, -1 << a is the answer.
hope that helps, God bless!
Answer:
The numerator must be greater than 16
Step-by-step explanation:
We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;
x/y > 2
We are further told that the denominator is 8.
Thus;
x/8 > 2
Multiply both sides by 8 to give;
x > 16
Thus,the numerator must be greater than 16.
