Answer:
C = 75 + 0.17x and R = 2x
2x - (75 + 0.17x) > 0
x ≥ 41
Step-by-step explanation:
The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.
Part A: Now, the equation for the cost, C, for making x cupcakes is
C = 75 + 0.17x ......... (1)
Again the equation for the revenue, R, from selling x cupcakes is
R = 2x ............ (2)
Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is
R - C > 0
2x - (75 + 0.17x) > 0 ......... (3)
Part C: Solving inequality (3) we get
(2 - 0.17)x > 75
⇒ x > 40.98
⇒ x ≥ 41 {Since, x can not be a fraction}
(Answer)
Answer:
B is True
A, C. D are false
Step-by-step explanation:
Given :
Sample size, n = 120
Mean diameter, m = 10
Standard deviation, s = 0.24
Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96
The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.
The population here is N = 10000
To obtain
Confidence interval (C. I) :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.96 * 0.24/sqrt(120)
Confidence interval for the 10,000 ball bearing :
10 ± 1.96 * (0.24) / sqrt(120)
Hence. The confidence interval defined as :
10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.
Answer:
that is the answer
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A paragraph proof D. contains a set of sentences explaining the steps needed to reach a conclusion.
<h3>What is a paragraph proof?</h3>
It should be noted that a paragraph proof simply means a way of presenting a mathematical proof.
In this case, it contains a set of sentences explaining the steps needed to reach a conclusion.
In conclusion, the correct option is D.
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