Answer:
269
Step-by-step explanation:
The margin of Error is E = 0.05
The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1
Assume that the proportion is, p =0.5
From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64
The calculation of sample size is as follows: n = (Z/E)²p(1-p)
n = (1.64/0.05)²0.5 (1 - 0.5)
n = (1.64/0.05)² 0.25
n = 1075.84 × 0.25
n = 268.96 ≈ 269
The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.
Answer:

Step-by-step explanation:
The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .
Recall the distance formula;
We use the distance formula to determine the length of the diagonals.
For diagonal R(1,-1) and T(8,5), We have;




For the diagonal S(6,1) U(3,3)




Therefore the shorter diagonal is:

15h^2 +10h +25 /5h = x +y +
15h^2 +10h +25/5h = 3h +2
15h^2
---------
0 10h
10h
------
0 25
so x=3h and y =2 than the 3rd choice is correct ,right sure
Answer:
151, 152, 153
Step-by-step explanation: Add all three and it equals 465, and it follows the rules of consecutive numbers.