Answer:
x = 7, y = 30 and x = 3, y = 10
Step-by-step explanation:
5x - y = 5, then y = 5x - 5
2y - x^2 = 11
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
-x^2 + 10x -10 = 11
-x^2 + 10x -21 = 0
x^2 - 10x + 21 = 0
(x - 7)(x - 3) = 0
x = 7, y = 30
x = 3, y = 10
Answer:
A
Step-by-step explanation:
The opposite angles in a parallelogram are congruent, thus
∠ C = ∠ A = 57°
Answer: h = 5
Step-by-step explanation:
Easy. 5 + 9 = 14
Answer:33 1/3%
Step-by-step explanation:
Answer:
Margin of Error = 1.96
7.75 = 15.19
Step-by-step explanation:
i) Margin of Error of a population with a standard deviation of 7.75?
ii) Let us assume a two tailed test with a 95% confidence interval
iii) ![Z_{\frac{\alpha }{2} } = Z_{\frac{\ 0.05 }{2} } = Z_{0.025} = 1.96](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%20%3D%20Z_%7B%5Cfrac%7B%5C%200.05%20%7D%7B2%7D%20%7D%20%3D%20Z_%7B0.025%7D%20%3D%201.96)
iv) therefore Margin of Error = 1.96
7.75 = 15.19