Which angles are corresponding angles?
1 answer:
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Answer:
1) ven diagram #1
2)160
3) 420
4)16
Step-by-step explanation:
1) lets make a ratio table:
(look at image below, sorry for the horrible writing)
the original ratios are 18 and 17, and 18+17=35 35 is the number of students who play either or both sports. 30 is the number who play either sport:
so 35-30=5
5 students play both sports:
18-5=13(baseball)
17-5=12(basketball)
2) add up all the students who do band or sports and subtract from the total number of students
so
89/464+215/464= 304/464 students play in band or orchestra or both, to find the number of students who dont:
464-304=160
3) 630/1000+420/1000=1050/1000
1050/1000-210/1000=840/1000
840/1000-420/100=420/1000
420 ppl use brand p
4) 15+9=24
40-24=16
16 ppl
hope this helps!
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:
Given that:
Sample size (n) = 6965
Sample proportion
The test statistics for this data can be computed as:
z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
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