Slope equals rise over run. Rise is referring to y values and run is referring to X values. so if they say tests are the Y axis then you use 27 as the rise and 36 as the run. once you have the fraction it is simply reducing the fraction.
27/36= 9/12 = 3/4
<h3>
Answer: Approximately 23.0 cm</h3>
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Work Shown:
a = 20.3
b = unknown
c = 30.7
Apply the pythagorean theorem to find b
a^2 + b^2 = c^2
(20.3)^2 + b^2 = (30.7)^2
412.09 + b^2 = 942.49
b^2 = 942.49-412.09
b^2 = 530.4
b = sqrt(530.4)
b = 23.0304146727757 value is approximate
b = 23.0
I rounded to one decimal place because the other values (20.3 and 30.7) were to one decimal place.
Step-by-step explanation:
use trigonometry ratios
Just divide 5/4 = 1.25. Thank you.
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.
