help please! Find the area of parallelogram MLKJ. You will need to use soh cah toa eventually to find the area. Round final answ
ers to one decimal place. Show your work please.
1 answer:
Answer:
133.5
Step-by-step explanation:
Area of paralleogram is base x height. The base is 15 as given. We need to find the height.
Using triangle MNJ we can find it.
We need to find side MN but we are given an angle adjacent to that side 90. We also given another angle and a side adjacent to that angle 52 and 7 respectively.
We can use law of sines to find MN
sin of 90 =1 so multiply 1 by both sides
simplify that and we get mn=8.9.
So know we can multiply 8.9 by 1t to find the area.
15×8.9=
133.5
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Hey! Hope that I can help.
Answer:
z≈3.16
p≈0.001
we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
Step-by-step explanation:
As a result of step 2, we can assume normal distribution for the null hypothesis
<em>step 3:</em>
z statistic is computed as follows:
z= where
- X is the proportion of correct answers in the test (
)
- M is the expected proportion of correct answers according to the null hypothesis (0.5)
- p is the probability of correct answer (0.5)
- N is the total number of questions in the test (40)
z= ≈ 3.16
And corresponding p value for the z-statistic is p≈0.001.
Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.