Answer:
x =25
<B = 65 degrees
<C = 50 degrees
Step-by-step explanation:
65 + (3x-10) +2x = 180
Add like terms:
55 +5x = 180
Subtract 55:
5x = 125
Divide by 5:
x = 25
Substitute for x and solve
Answer:
Sheldon has to sell at least 143 cups of coffee to purchase the kayak.
Step-by-step explanation:
First write an expression:
15 + 0.25x ≥ 50.75
Next use inverse operations:
15 + 0.25x - 15 ≥ 50.75 - 15
0.25x ≥ 35.75
0.25x ÷ 0.25 ≥ 35.75 ÷ 0.25
x ≥ 143
Sheldon has to sell at least 143 cups of coffee to purchase the kayak.
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The dog snored nine times. 1/3 of an hour is every 30 minute interval. 30 min + 30 min = 1 hour. Multiply this x3, and the answer is nine. A simpler way of thinking about this is 3 x 3 or 3 squared.
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
