Which statements are true about the circle shown below? Select two options.
2 answers:
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Answer:
We cannot determine the appropriate hypotheses to test this study because we are only given the data for the sample size and the population mean. Meanwhile, we need to know the data of the sample mean, the standard deviation and the level of significance before we can state the appropriate hypotheses for this test.
Step-by-step explanation:
Given that:
sample size n = 300
population mean μ = 35
The null hypothesis and the alternative hypothesis can be computed as follows:
Null hypothesis
Alternative hypothesis
The degree of freedom df = n -1
df = 300 - 1
df = 299
Answer:
Part A
The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars is 1,670,000
Step-by-step explanation:
Part A
Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y
The cost to produce 'y' cars, C = 20·y + 1,000,00
The profit, 'P', from making and selling 'y' cars is given as follows;
P = R - C
∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00
An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;
0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars, (y = 30,000) is given as follows;
= 0.003·y² - 10·y - 1,000,000
= 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000
The profit made from selling 30,000 cars = 1,670,000.
The total Surface Area of a right Cone is the sum of the area of its base and the lateral (side) surface.
The formula for the total surface area of a right cone is
Where r is the radius, and l is the slant height
