In ΔTUV, the measure of ∠V=90°, TV = 56, UT = 65, and VU = 33. What is the value of the tangent of ∠U to the nearest hundredth?
2 answers:
You might be interested in
Answer:
Option (b) 36.7
Step-by-step explanation:
Data provided in the question:
Treatment 1 Treatment 2 Treatment 3 Treatment 4
Sample Size 50 18 10 17
Sample Mean 32 36 42 48
Now,
The overall mean is calculated as
=
Here, Xi = Sample mean
n = sample sizes
Thus,
Overall mean
= [ (50 × 32) + (18 × 36) + (10 × 42) + (17 × 48) ] ÷ [ 50 + 18 + 10 + 17 ]
= [ 1600 + 648 + 420 + 816 ] ÷ 95
= 36.67 ≈ 36.7
hence,
Option (b) 36.7
Answer:
With alpha 0.95 and 8 degrees of freedom χ²= 2.73
And with alpha 0.05 and 8 degrees of freedom χ²=15.51
Step-by-step explanation:
The significance level ∝ = 1- 0.9 = 0.1
But we need the area of the middle so we divide this significance level with 2
so that we get exactly the middle area .
Dividing 0.1/2= 0.05
So we will have two values for chi square
One with 0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.
So with alpha 0.95 and 8 degrees of freedom χ²= 2.73
And with alpha 0.05 and 8 degrees of freedom χ²=15.51
This can be shown with a graph.
