Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
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Answer:
0.54035
Step-by-step explanation:
Given that :
Mean, m = 66 inches
Standard deviation, s = 2.5 inches
P(65 < X < 69)
P(X < 69) - P(X < 65)
((69 - 66) / 2.5) - ((65 - 66) / 2.5)
P(Z <(3/ 2.5)) - P(Z <(-1 / 2.5))
P(Z < 1.2) - P(Z < - 0.4)
0.88493 - 0.34458
= 0.54035
Answer:
18. 3.3years
Step-by-step explanation:
18. 20,000 - (20,000 - .15x) = 10,000
15% of 20,000 is 3,000
Ok, C is 16 feet below the sea level = -16
D is below the sea level is 1/2 of the elevation of city it's mean
-16 divided 1/2 = -8
Solve: -8 multiply 2 is -16
The length of the line segment using the percentage are as follows:
25% length = 1 cm
50% length = 2cm
100% length = 4 cm
75% length = 3 cm
<h3>How to find length with the percentage?</h3>
The line segment 8 cm is 200% . This means it is double of 100%.
Therefore the length can be calculated using the percentage as follows;
100% length = 8 / 2 = 4 cm
Hence,
75% length = 75 / 100 × 4 = 3 cm
Hence,
25% length = 25 / 100 × 4 = 1 cm
50% length = 50 / 100 × 4 = 2cm
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