Y = - 9
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Answer:
-0.67
Step-by-step explanation:
Given that :
Population mean, μ = 4.7
Sample size, n = 68
Sample mean, M = 4.3
Sample standard deviation, s = 0.6
The effect size, d can be obtained using the relation :
d = (M - μ) / s
d = (4.3 - 4.7) / 0.6
d = - 0.4 / 0.6
d = - 0.66666
d = - 0.67
Hence, effect size associated with a single-sample t test is - 0.67
Answer:
t = 11
Step-by-step explanation:
Before we can solve this word problem, we have to translate first this problem into numerical form. The sum of fifteen and six times a number t is eighty-one can be translated into
15 + 6t = 81
Let's subtract 15 from both sides of the equation .
15 + 6t - 15 = 81 - 15
6t = 66
Divide both sides of the equation by 6.
6t / 6 = 66 / 6
t = 11
Answer:
23.20°
Step-by-step explanation:
All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.
<h3>Trig relation</h3>
The tangent of the angle is the ratio of opposite and adjacent sides:
Tan = Opposite/Adjacent
Here, that means ...
tan(α) = 3/7
To find the value of α, we need to use the inverse tangent function, also called the arctangent function.
α = arctan(3/7) ≈ 23.19859°
α≈ 23.20°
