Answer:
B. 30
Step-by-step explanation:
3x + 2x + x = 180 (angle sum of a triangle is 180)
6x = 180
x = 30
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Pythagorean Theorem: A^2 + B^2 = C^2
<span>We know A and C, let's find B by doing it backwards </span>
<span>C^2 - A^2 = B^2 </span>
<span>4^2 - 7 (square root of 7 squared is just 7) = B^2 </span>
<span>16 - 7 = B^2 </span>
<span>9 = B^2 </span>
