A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x
2 answers:
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<h2><u>Answer with explanation</u>:</h2>
Let be the population mean.
As per given , we have
Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given , so we perform one-tailed z-test.
Test statistic :
, where = Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 , ,
,
, we have
P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
The minimum cost to produce the product is $7.
What are functions?
- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
To determine the minimum cost:
We have to determine the minimum cost of producing this product.
Since .
Now, consider the equation .
Dividing the above equation by 5, we get
Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.
Since the coefficient of 'x' is 14, and half of 14 is '7'.
So, adding and subtracting from the above equation.
Now, we have to determine the minimum cost to produce the product.
Since .
Now, let f'(x)=0
Therefore, x=7
Now, consider which is greater than 0.
Therefore, x= 7 is the minimum cost.
Know more about functions here:
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