Answer:
Step-by-step explanation:
Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
Answer:
m∠3 = 56
Step-by-step explanation:
Let's solve for x, first:
x + 9 = 3x - 85
9 = 2x - 85
94 = 2x
94/2 = x
47 = x
Now that we have x-value, we can substitute it in any one of the given equation to find angle 3 since, angle 1, 7 and 3 all are congruent:
=> m∠7 = x + 9
=> m∠7 = 47 + 9
=> m∠7 = 56
Since m∠7 ≅ m∠3
and m∠7 = 56, then
<u>m∠3 = 56</u>
Hope this helps!
U got it right.
last option
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