Answer:
Step-by-step explanation:
3/5 - 2/5 = (3-2)/5 = 1/5
7/10 - 3/10 = (7-3)/10 = 4/10 = 2/5
Answer:
0.004
Step-by-step explanation:
If two events A, B with probabilities P(A), P(B) are independent, then the probability of the two events ocurring at the same time A∩B is P(A)P(B).
In this case we have
P(torque=very high) = 0.3
P(torque=high) = 0.4
P(torque=average) = 0.2
P(torque=low) = 0.01
Using the product rule, we see there are

ways of partitioning 25 bolts in groups of 7,8,6 and 4 bolts.
Each one of those partitions has a probability of

So, the probability of rating 7 very high, 8 high, 6 average, and 4 low is

Answer: 70.5°
Solution:
Call B, the measure of the angle CBA
cos(B) = adjacent-leg / hypotenuse = 3 / 9 = 1 / 3
=> B = arc cos (1/3) ≈ 70.5°
I will calculate other measures for you, trying to cover the most common ratios: sine, cosine, tangent
1) (segment CA)^2 + (segment BC)^2 = (hypotenuse)^2
=> (segment CA )^2 = (hypotenuse)^2 - (segment BC)^2 = 9^2 - 3^2 = 81 - 9 = 72
=> segment CA = √72 = 6√2
2) sin(B) = opposite-leg / hypotenuse = 6√2 / 9 =2√2 / 3
3) sin(A) = cos(B) = 1/3
4) cos(A) = sin(B) = 2√2 / 3
5) tan(B) = opposite-leg / adjacent-leg = (2√2 / 3 ) / 3 = 2√2 / 9
6) tang(A) = 3 / (2√2 /3) = 9 /( 2√2) = 9√2 / 4