Answer:
1/56
Step-by-step explanation:
P( bear is first) = bear/ total = 1/8
Then there are 7 animals left
P( zebra is 2nd) = zebra /total = 1/7
P( bear, then zebra) = 1/8 * 1/7 = 1/56

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;

Answer:
Explanation:
<u>1) Data:</u>
a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft
b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft
c) angle, α = ?
<u>2) Solution</u>
- tanα = opposite-leg / adjacent-leg
- tanα = 5 ft / 12 5t = 5/12
- 22.6° rounded to the nearest degree is 23° ← answer
a)All points on one line are at the same Collinear points to the other line.
b)The distance between the two lines is called the perpendicular lines.