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.
Answer to question 1 is D
answer to question 2 is A
Subtract the sale price from the original price then divide the difference by the original price.
Guitar 1: 160 -100 = 60
60/160 = 0.375 x 100 = 37.5%
Guitar 2: 250 - 150 = 100
100/250 = 0.4 x 100 = 40%
The answer is the second guitar has a greater percent change of approximately 40%
Ok. because those two angles are sumplimentary, (they equal 180 degrees) we can set up an equations.
3n+n+14=180
then isolate the variable
4n+14=180
-14 -14
4n=166
then divide to undo the multiplication
4n=166
--- ----
4 4
n=41.5
Based on the numbers we have we can assume that she saves 3 times more each week than the last (1*3=3, 3*3=9).
Following this trend we would multiply the amount she saved the third week ($9) by 3 to get $27 for the fourth week.
Then, we would multiply the amount she saved the fourth week ($27) by 3 to get $81 for the fifth week.
Finally, to figure out how much she saved in the 5 weeks, we need to add each value up to get 1+3+9+27+81= $121 saved in 5 weeks
