Answer:
B. 0.0122
Step-by-step explanation:
According to the given data the claim is:
"Proportion of students who went to the movie theater last weekend is greater than 0.2"
Since, the word "greater than" is used in the claim, this claim will be our alternate hypothesis and the hypothesis test will be a one-tailed test i.e. Right tailed test because of the word "greater than".
We are given that the hypothesis test was conducted for a random sample of 100 students and it yielded a z-value of 2.25. We have to find the p-value associated with this z-score
So, we have to find p-value corresponding to z-score of 2.25 and Right Tailed Test. We have to use z-table for this purpose and find the probability of z score being greater than 2.25. From the z-table this value comes out to be:
p-value = 0.0122
Therefore, option B gives the correct answer.
Answer:
The solutions the equation 1 are -1.3 and 2. The solutions to equation 2 are -1 and 0.
Step-by-step explanation:
Isolate the absolute value for equation 1. Then, set two equations equal to 5 and -5.
3x - 1 = 5 and 3x - 1 = -5
Solve for x in both and you would get -1.3 and 2.
Do the same for equation 2.
2x + 1 = -1 and 2x + 1 = 1
Solve for x and you would get -1 and 0.
1st shelf: 48cm
2nd shelf: 114cm
3rd shelf: 36cm
4th shelf: 52cm
Total length: 250cm or 2.5m
Answer:
Probability that song selected after first selection is rock = 2/7
Probability that song selected from the remaining after second selection is country rock = 1/2
Step-by-step explanation:
Total number of songs = 7
After first selection, probability that the song selected is rock = 2/7
After second selection, probability that the song selected from the remaining is a country song = 3/6 = 1/2
Answer:
(2,-9)
Step-by-step explanation:
-2+4=2
-7-2=-9
down=negative
right=positive
left=negative
up=positive