40 boys and 16 girl possible ratios
1 answer:
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Answer:
Minimum number of units sold to make profit is equal to 20
Step-by-step explanation:
Revenue earned by the company as a function of number of units sold as x:
R(x) = 0.55x
Cost for selling units as a function of number of units sold as x:
C(x) = 10 + 0.05x
<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>
P(x) = (0.55x) - (10 + 0.05x)
P(x) = 0.55x - 10 - 0.05x
P(x) = 0.5x - 10
To earn profit the following condition should satisfy: P(x) ≥ 0
0.5x - 10 ≥ 0
0.5x ≥ 10
x ≥
x ≥ 20
Answer:
The critical value of <em>z</em> for 99% confidence interval is 2.5760.
The 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).
Step-by-step explanation:
Let <em>X</em> = number of lightning strikes on each day.
A random sample of <em>n</em> = 23 days is selected to observe the number of lightning strikes on each day.
The random variable <em>X</em> has a sample mean of, and the population standard deviation,
.
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:
Compute the critical value of <em>z</em> for 99% confidence interval is:
*Use a <em>z</em>-table.
The critical value of <em>z</em> for 99% confidence interval is 2.5760.
Compute the 99% confidence interval for population mean number of lightning strike as follows:
Thus, the 99% confidence interval for population mean number of lightning strike is (7.83 mn, 8.37 mn).
The 99% confidence interval for population mean number of lightning strike implies that the true mean number of lightning strikes lies in the interval (7.83 mn, 8.37 mn) with 0.99 probability.