4^3 * 4^3 = m^6....when multiplying exponents with the same base, the exponents are added and the base number remains the same....so m = 4
4^3 * 4^3 = 4^6
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Length is:</u>
<u>Substitute values and solve for w:</u>
- 500 = 2*120 + 2w
- 2w = 500 - 240
- 2w = 260
- w = 260/2
- w = 130 m
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
2x² - 4x - 30
2(x²) - 2(4x) - 2(15)
2(x² - 4x - 15)
Answer: (a) 0.006
(b) 0.027
Step-by-step explanation:
Given : P(AA) = 0.3 and P(AAA) = 0.70
Let event that a bulb is defective be denoted by D and not defective be D';
Conditional probabilities given are :
P(D/AA) = 0.02 and P(D/AAA) = 0.03
Thus P(D'/AA) = 1 - 0.02 = 0.98
and P(D'/AAA) = 1 - 0.03 = 0.97
(a) P(bulb from AA and defective) = P ( AA and D)
= P(AA) x P(D/AA)
= 0.3 x 0.02 = 0.006
(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)
= P(AA) x P(D/AA) + P(AAA) x P(D/AAA)
= 0.3(0.02) + 0.70(0.03)
= 0.027
