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:
x = 9
Step-by-step explanation:
6x = 54
Simple way of solving, all you have to do is isolate the variable "x." To do that, divide the number, 6, by both sides.
6x / 6 = 54 / 6
54 / 6 = 9
Hence,
x = 9
Hope this helps :)
Cos(t)<0 (negative) it is negative when angle is in Quadrant 2. Or Quadrant 3
cot(t)<0. (negative) it is negative when angle lies in Quadrant 2 So,
the angle is in Q 2
Answer:
The volume of the rectangular swimming pool is 
or 
Step-by-step explanation:
we know that
The volume of the rectangular swimming pool is equal to
we have
substitute
Convert to mixed number
