The answer is 1307.621 and if you estimate that answer it would be D
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:
x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z
or x = (π n_2)/2 + 1/4 sin^(-1)(7/10) for n_2 element Z
Step-by-step explanation:
Solve for x:
cos(6 x) sin(2 x) - cos(2 x) sin(6 x) = -0.7
-0.7 = -7/10:
cos(6 x) sin(2 x) - cos(2 x) sin(6 x) = -7/10
Reduce trigonometric functions:
-sin(4 x) = -7/10
Multiply both sides by -1:
sin(4 x) = 7/10
Take the inverse sine of both sides:
4 x = π - sin^(-1)(7/10) + 2 π n_1 for n_1 element Z
or 4 x = 2 π n_2 + sin^(-1)(7/10) for n_2 element Z
Divide both sides by 4:
x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z
or 4 x = 2 π n_2 + sin^(-1)(7/10) for n_2 element Z
Divide both sides by 4:
Answer: x = π/4 - 1/4 sin^(-1)(7/10) + (π n_1)/2 for n_1 element Z
or x = (π n_2)/2 + 1/4 sin^(-1)(7/10) for n_2 element Z
Answer:
The amount of CD's she could buy would be 3.
Step-by-step explanation:
80-20=60
60÷18 = 3 CD's
x > 21
You want to isolate the x on one side by doing the same thing on both sides, using reversed PEMDAS
