What is the probability of rolling a five on the first die and a one
1 answer:
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Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) =
tan (∠s) =
Set them equal to each other to get:
=
Solve:
Part B:
Using tan (∠s) =
We get: meters
Hope that helps!
Answer:
We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.
Step-by-step explanation:
let p be the proportion of trips included a visit to a theme park.
: p=0.12
: p<0.12
To test, we need to calculate test statistic of the sample proportion as:
z= where
- p(s) is the sample proportion of trips included visit to a theme park (
- p is the proportion assumed under null hypothesis. (0.12)
- N is the sample size (1565)
Using the numbers, z=
= −0.767 and p(z) is ≈0.222
Since 0.222 > 0.05 we fail to reject the null hypothesis.