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:
False
Step-by-step explanation:
A number that can expressed as 
,
Where, p and q are integers such that q ≠ 0, is called a rational number.
Also, a decimal number with repeating pattern is a rational number,
( for eg : 0.333.... = 
)
Since,
√3 = 1.73205080757.....
∴ There is no repeating pattern
Thus, √3 is not a rational number.
Given statement is FALSE.
Answer:
the surface area of the square pyramid is 576.66 cm^2
Step-by-step explanation:
The computation of the surface area of square pyramid is given below:
A = a^2 + 2a × √a^2 ÷ √4 + √h^2
where
a = 12 cm
h = 17 cm
Now put the value of a and h in the above formula
= 12^2 + 2(12) × √12^2 ÷ √4 + √17^2
= 576.66 cm^2
hence, the surface area of the square pyramid is 576.66 cm^2
