-6 and -6 because -6 + -6 = -12 , you could also have -8 and -4 because -8 + -4 = -12, or you could also have -10 and -2 because -10 + -2 = -12
Answer:
3, 15, 14
Step-by-step explanation:
x + 5x + ( 5x -1) = 32
11x - 1 = 32
11x = 32 + 1
11x = 33
11x/11 = 33/11
x = 3
therefore
the first number is 3
the second is 5 × 3 = 15
the third number is 15 - 1 = 14
Answer:
0.623 is the probability that between 800 and 850 files get damaged.
Step-by-step explanation:
We are given the following information:
We treat virus can damage computer as a success.
P( virus can damage computer) = 35% = 0.35
The conditions for normal distribution are satisfied.
By normal approximation:

We have to evaluate probability that between 800 and 850 files get damaged.


0.623 is the probability that between 800 and 850 files get damaged.
Answer:
1. 7.1 cm
2. 10.9 cm
Step-by-step explanation:
1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.
__
2. By the Law of Sines, ...
AB/AC = sin(ACB)/sin(B)
AB = AC·sin(72°)/sin(38°) = 1.545·AC
The approximate value of AC from problem 1 is sufficient to get you close to the answer.
AB ≈ 7.1×1.545 ≈ 10.9 . . . cm
Answer:
4pq(p³+q³)
Step-by-step explanation:
Exactly 5 game would be when 4 wins and 1 loss of a particular person
loss has to be one of the first 4 games
A wins: qp⁴ + pqp³ + p²qp² + p³qp
= qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴
B wins: pq⁴ + qpq³ + q²pq² + q³pq
= pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴
A wins or B wins:
4pq⁴ + 4qp⁴ = 4pq(q³+p³)