Answer:
30 and 20 respectively
Step-by-step explanation:
Let the number of sofas to be built be s and the number of recliners be r.
For the time part, we have the following equation:
8s + 6r = 340
For the money part:
180s + 105r = 6750
Now let’s solve these equations simultaneously.
Let’s change the form of the second equation:
180s + 17.5(6r) = 6750
From the first equation, 6r = 340 - 8s
Insert this into the third equation
180s + 17.5(340-8s) = 6750
180s + 5950 - 140s = 6750
40s = 6750 - 5950
40s = 800
s = 20
Substitute the value into the first equation
8(20) + 6r = 340
6r + 160 = 340
6r = 180
r = 30
Answer:
C
Step-by-step explanation:
What are the constraints?
When you graph the constraints the four points you can use are (0,0), (10,0), (0,2), and (6,2).
(10,0) is the point that gives you the maximum value which is 40.
Answer:
0.02275
Step-by-step explanation:
We use this z score formula to solve for this question
z-score is is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
From the above question,
x = 77
μ = 75
σ = 7
number of samples = 49
Hence, the z score = 77 - 75/ (7/√49)
= 2/(7/7)
= 2/1
= 2
Hence, the z score = 2
Using the z table to find probability
P(x<77) = 0.97725
P(x>77) = 1 - P(x<77)
= 1 - 0.97725
= 0.02275
Therefore, the probability that the same mean will be larger than 77 years
is 0.02275
