Answer:
100x+120y = z
z= $ 63000
Step-by-step explanation:
Product Welding Assembly Painting Cont. to profit
X 2x hours 3x hours 1xhour = $100x
Y 3y hours 2y hours 1y hour = $120y
<u> </u>
Total hours 1500 hours 1500 hours 550 hours
available
Let X represent product X
Let Y represent Product Y
2x + 3y = 1500
x + y = 550
y= 550-x
2x + 3(550-x) = 1500
2x + 1650- 3x = 1500
150 = x
y = 550-150
y = 400
Objective Function Z = 100x + 120y
Z = 100(150) + 120( 400)
Z = 15000+48000
Z = $63000
Answer:
11
Step-by-step explanation:
4=1
14=2
24=3
34=4
40=5
41=6
42=7
43=8
44=9
45=10
46=11
You will encounter 11 4s.
Answer:
0.34134
Step-by-step explanation:
In other to solve for this question, we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
We are told in the question to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
From tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
-i
Step-by-step explanation:
Our number is i = √-1, and we want to find i³, which is essentially just i * i * i, so:
i³ = i * i * i = √-1 * √-1 * √-1 = -1 * √-1 = -1 * i = -i
The answer is -i.
