Answer:
95% z-confidence interval for the proportion of all children enrolled in kindergarten who attended preschool is between a lower limit of 0.528 and an upper limit of 0.772.
Step-by-step explanation:
Confidence interval = p + or - zsqrt[p(1-p) ÷ n]
p is sample proportion = 39/60 = 0.65
n is the number of children sampled = 60
Confidence level (C) = 95% = 0.95
Significance level = 1 - C = 1 - 0.95 = 0.05
Divide significance level by 2 to obtain critical value (z)
0.05/2 = 0.025 = 2.5%
z at 2.5% significance level = 1.96
zsqrt[p(1-p) ÷ n] = 1.96sqrt[0.65(1-0.65) ÷ 60] = 1.96sqrt[0.2275 ÷ 60] = 1.96sqrt(3.792×10^-3) = 1.96×0.062 = 0.122
Lower limit = p - 0.122 = 0.65 - 0.122 = 0.528
Upper limit = p + 0.122 = 0.65 + 0.122 = 0.772
95% confidence interval is between 0.528 and 0.772
830,040 = 8 x 10^5 + 3 x 10^4 + 4 x 10
Answer:
74°
Step-by-step explanation:
180-106
since supplementary is 180°
X^2=64
X=v64
X=8 OR X=-8
2 roots
x=+8
x=-8
Answer:
The answer to your question is below
Step-by-step explanation:
From the picture we can infer that:
The side OP is proportional to NP, is half the length of NP.
The side QP is proportional to the side RP, is half the length of RP
The triangle OPQ is proportional to the triangle NPR because the have to proportional sides and the ∠P is the same for both.
Finally, if the triangles are proportional, the side OQ is proportional to the side NR. (is half the side of NR)
