Answer:
x = 11
Step-by-step explanation:
If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

Answer:
3200000
Step-by-step explanation:
9514 1404 393
Answer:
(b) $1.15
Step-by-step explanation:
The expected value is the sum of products of payoff and probability:
$0×0.15 +0.50×0.5 +1.0×0.2 +2.0×0.1 +10×0.05
= $0 +0.25 +0.20 +0.20 +0.50
= $1.15 . . . . expected value of the scratch ticket
Answer: B. This student's test grade was 2.4 standard deviations above the mean test grade.
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Explanation:
The z score tells us how far away the raw score is from the mean. This distance is in terms of standard deviations.
- z = 1 means we're 1 standard deviation above the mean
- z = 2 means we're 2 standard deviations above the mean
and so on.
Negative z scores indicate the raw score is below the mean.
- z = -1 means we're 1 standard deviation below the mean
- z = -2 means we're 2 standard deviations below the mean
and so on. So that's why z = 2.4 indicates the students test grade was 2.4 standard deviations above the mean.