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
Answer:
x²+y²-4x-6y+12.75=0
Step-by-step explanation:
The equation is given by (x-h)²+(y-k)²=r²
center is (2,3), so h=2, k=3,r=0.5
equation is given by;
(x-2)²+(y-3)²=0.5²
Expand
x(x-2)-2(x-2)+y(y-3)-3(y-3)=0.5²
4-2x-2x+x²+9-3y-3y+y²=0.25
4-4x+x²+9-6y+y²=0.25
x²-4x+13+y²-6y=0.25
x²-4x+y²-6y+13=0.25
x²-4x+y²-6y+12.75=0
x²+y²-4x-6y+12.75=0
Answer:
45.75%
Step-by-step explanation:
B because 1/3 is 4/12 and 5/12 take away 4/12 is 1/12
Answer:
22%
Step-by-step explanation:
convert the decimal to a percentage