Answer:
9m⁸n²
Step-by-step explanation:
(3m⁴n)² Remove parentheses
= 3²m⁸n² Square the 3
= 9m⁸n²
Answer: A minimum of 5 people will be needed.
Step-by-step explanation:
150/32 = 4.6875
You can't have a partial person, so round up to 5.
It may be possible to have 4 employees working 32 hours and another working 22 hours, but that is not what the question asks exactly. That is still 5 people.
Answer:
= 5 * 10 ^ 1/3
Step-by-step explanation:
3 log 2x=4
Divide each side by 3
3/3 log 2x=4/3
log 2x=4/3
Raise each side to the power of 10
10 ^(log 2x)=10 ^(4/3)
2x = 10 ^(4/3)
Divide by 2
2/2x = 1/2 * 10 ^(4/3)
x = 1/2 * 10 ^4/3
10 ^ 4/3 = 10 * 10 ^ 1/3
x = 1/2 ( 10) 10 ^ 1/3
= 5 * 10 ^ 1/3
Answer:
2(4-x)=26
Step-by-step explanation:
<u><em>1. Plug "-9" into each equation as "x"</em></u>
2(4--9)=26
5(-9)+30=75
5(12--9)=15
3(-9+11)=-16
<u><em>2. Solve each equation</em></u>
2(4--9)=26 ~ 26=26
5(-9)+30=75 ~ -5=75
5(12--9)=15 ~ 105=15
3(-9+11)=-16 ~ 6=-16
Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
