This Venn diagram shows sports played by 10 students let event A = The student plays basketball
2 answers:
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Answer:
When 6 helicopters are produced weekly, the company's profit is <u>14 thousand dollars.</u>
Step-by-step explanation:
As per the given statement:
The company profit (in thousands of dollars), as a function of the number of helicopters produced per week can be modeled by a function.
The function that models the scenario is:
......[1]
where
f(h) represents the company's profit
h represents the number of helicopters produced per week.
It is also given that when 1 helicopter is produced per week, the company’s profit is 4 thousand dollars.
Maximum profit for company 22 thousand dollars, occurs when 4 helicopters are produced per week
⇒ and
we have to find when 6 helicopters are produced weekly, the company profit is;
⇒ h = 6 helicopters
Substitute this value in [1] to solve for f(6);
=
Therefore, the company profit is, 14 thousand dollars.
Answer:
The standard error of the proportion is 0.0367.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the standard error is
In this question:
So
The standard error of the proportion is 0.0367.