Multiply the fraction by both things in the parenthesis.
Answer:
Below in bold.
Step-by-step explanation:
A.This is the number of combinations of 6 from 15
= 15C6
= 15! / (15-6)! 6!
= 5,005 ways.
B. This is the number of permutaions of 6 from 15:
= 15! / (15-6)!
= 3,603,600 ways.
<span>LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.
Point Q has an angle of 72, which means that point M also has an angle of 72.
Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:
72 + 36 + x = 180
Subtract 36 from both sides.
72 + x = 144
Subtract 72 from both sides.
x = 72
The angle of point L, x, is 72.
</span>
Answer:
<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
<u><em>Step(ii):-</em></u>
<u><em>Null hypothesis:</em></u><em> The sample statistic does not differ significantly from the hypothetical parameter value.</em>
<em>Given data </em>
<em>Null hypothesis: H₀ : μ = 0.41</em>
<u>Alternative Hypothesis:</u><em> Any hypothesis which is complementary to the Null hypothesis</em>
<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>
<em> </em>
- Total time=5h
- Time devoted for mathematics and science=2h
Let Time devoted for others be x
