Answer:
P(-2 ≤ x ≤ 2) = .6
Step-by-step explanation:
Given
The data in the above table
Required
Find P(-2 ≤ x ≤ 2)
To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval
The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2
Solving further;
P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)
From the table;
P(-2) = .33
P(0) = .16
P(2) = .11
Substitute these values in (1) above
P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes
P(-2 ≤ x ≤ 2) = .33 + .16 + .11
P(-2 ≤ x ≤ 2) = .6
Answer:
Random samples
Counts of successes and failures at least 15 each for each group.
Step-by-step explanation:
For making any inferences about the differences of the two independent population proportion, we assumed that the samples are of random and the counts of the success and the failures are at least 15 each for each of the groups.
From such assumption of the randomness, the observations in the population 1 will not be affected by the observations in the population 2, and also vice versa.
The assumptions of the counts refers tot he samples from each population that are big enough to justify by the normal distribution in order to model the differences between the proportions.
Therefore the assumptions that we need to make are:
-- Random samples
-- Counts of successes and failures at least 15 each for each group.
Answer:
A.
Step-by-step explanation:
The slope of the line parallel to the original line is the same. And you don't add x after the slope.
The answer to this is D.
The tricky part of this question is to determine the relationship between Lee's points and Alex's points.
From the description "Lee scored 25 points" we can be sure that Lee's points are 25. That's the easy part.
Here comes the real question. We need to change "that was 3 more than twice the number of points Alex scored" into an algebraic equation. From "twice the number of points Alex scored", we can know it's 2a, as Alex's points are represented by a and twice means 2 times. From "that's 3 more", we can determine that Lee has a higher point (25 larger than 2a by 3 points). So, Alex need to add a few more points in order to have the same value as Lee did.
Therefore, if we combine everything together, we can get 25 (Lee's points) = 3 + 2a (twice Alex's points plus 3 because Alex has less points). The answer is D.
<h3>
Answer: 21</h3>
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Work Shown:
14/20 = 70/100 after multiply top and bottom by 5
70/100 = 70%
Drake makes 70% of his free throws
If he attempts 30 of them, then he should make about 0.70*30 = 21
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Alternative Method:
(amount made)/(amount attempted) = (amount made)/(amount attempted)
14/20 = x/30
14*30 = 20*x ... cross multiply
420 = 20x
20x = 420
x = 420/20
x = 21
This is another way to see that we expect Drake to make about 21 free throws.
