Answer:
14.6%
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Here, n = 10, r = 4, and p = 1/4.
P = ₁₀C₄ (1/4)⁴ (1−1/4)¹⁰⁻⁴
P = 210 (1/4)⁴ (3/4)⁶
P ≈ 0.146
There is an approximate 14.6% probability that exactly 4 of the 10 adults are on a diet.
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
Answer:
1,809.98 lb*m/s^2
Step-by-step explanation:
First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.
The weight of the boulder is:
W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)
This weight has a direction that is vertical, pointing downwards.
Now, we know that the angle of the hill is 35°
The angle that makes the direction of the weight and this angle, is:
(90° - 35°)
(A rough sketch of this situation can be seen in the image below)
Then we need to project the weight over this direction, and that will be given by:
P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2
This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.