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:
C
Step-by-step explanation:
For A it would be 2x2=4 and -2x2 does not equal 4
and dont forget B. is absolut mumbo jumbo
Thus the only sane answer is C.
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For 45, 45, 90 angled triangles, the two legs are equal to 'x', and the hypotenuse is equal to
. Since we know the length of the hypotenuse, we can set this equal to it:
Divide the square root of 2 to both sides:
So the length of both AC and BC is approximately 5.657.
Answer:
The area of the hexagon is approximately 55.43 square feet
Step-by-step explanation:
The given apothem of the hexagon, a = 4 ft.
The area of an hexagon given the apothem, 'a', is found as follows;
The area of an hexagon of side length, s, A = ((3·√3)/2)·s²
s = a·2·tan(180/n)
∴ A = ((3·√3)/2)·(a·2·tan(180/n))²
For an hexagon, n = 6
∴ A = ((3 × √3)/2) × (4 × 2 × tan(180/6))² ≈ 55.43
The area of the hexagon, A ≈ 55.43 ft.²
Add all the numbers together and the difference is the answer which is 44%
