Answer:
x=5
Step-by-step explanation:
First combine like terms
8x-8=4x+12
Move -8 over to the other side, it becomes +8
8x=4x+20
Now subtract 4x from 8x
4x=20
Now divide
20÷4=5
x=5
<span>solution:
we have, mean =8.4 hrs, std. deviation = 1.8 hrs, sample size n = 40 , X = 8.9
Probability(X<8.9) = ?
we know that, Z = (X - mean)/(std. deviation/(sqrt. n)) = (8.9 - 8.4)/(1.8/(sqrt.40))
Z = 1.7568
from standard normal probabilities table, we have , P(Z<1.7568) = 0.9608
Hence, probability that the mean rebuild time is less than 8.9 hours is 0.9608</span>
Observe that
|√3 + i| = √((√3)² + 1²) = √4 = 2
and
arg(√3 + i) = arctan(1/√3) = π/6
so that
√3 + i = 2 exp(i π/6)
By de Moivre's theorem, we get
(√3 + i)⁶⁰ = 2⁶⁰ exp(i π/6 • 60) = 2⁶⁰ exp(i 10π) = 2⁶⁰
Answer:
8 hours
Step-by-step explanation:
4 + 1.75x ≤ 18, where x = the number of hours
1.75x ≤ 18 - 4
1.75x ≤ 14
x ≤ 14/1.75
x ≤ 8 hours
Answer:
y= -21x/19 x≠0
Step-by-step explanation:
(I just reviewed this!) Combined like terms and used Pemdas for Order of Operations. Canceled out -21x with -21 and we know that x is not equal to 0. If you need more help there are some sites like Khan Academy.