The z-scores that are the cutoffs are given as follows:
a. z = 1.645.
b. z = -1.96.
c. z = -0.51.
d. z = 0.
e. z = 0.
<h3>What is the z-score formula and what does it represent?</h3>
The z-score of a measure X of a variable that has mean given by and standard deviation represented by is given as follows:
- The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean.
- From the z-score table, the p-value associated with the z-score is found, which represents the percentile of the measure X.
For this problem, we have that:
- In item a, the cutoff is the 95th percentile, hence z = 1.645, which has a p-value of 0.95.
- In item b, the cutoff is the 2.5th percentile, hence z = -1.96, which has a p-value of 0.025.
- In item c, the cutoff is the 30.5th percentile, hence z = -0.51, which has a p-value of 0.305.
- In item d, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.
- In item e, the cutoff is the 50th percentile, hence z = 0, which has a p-value of 0.5.
More can be learned about z-scores at brainly.com/question/25638875
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86 divides by 9 sequels to 9 Remainder 5 and 95 divided by 10 equals to 9 Remainder 5
Let the number of baskets be x
Let the number of points be y
32 +3x = y
19 + 4x = y
Rearrange both equations then solve them as simultaneous equations
32 = y - 3x
19 = y - 4x
y - 3x = 32
- y - 4x = 19
x = 13
Substitute x into one of the equations
y - 3x = 32
y - (3 x 13) = 32
y - 39 = 32
y = 32 + 39
y = 71
Number of baskets (x) = 13
Number of points (y) = 71
Answer:
The minimum is y=-5. The max would be y=1
Step-by-step explanation:
Hope this helps
That would be 10.862
hope this helps.