Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each
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The values of x and y are 99 and 343
<h3>The HCF</h3>The HCF of numbers is the highest common factors of the numbers
<h3>The LCM</h3>The LCM of numbers is the lowest common multiple of the numbers
The HCF and the LCM are given as:
Multiply the HCF and the LCM
The product of the numbers x and y equals the product of the HCF and the LCM.
So, we have:
Express 33957 as a prime factor
Rewrite the equation as
By comparison:
Hence, the values of x and y are 99 and 343
Read more about HCF and LCM at:
Answer:
a. Assume that the population has a normal distribution.
b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.
Step-by-step explanation:
Question a:
We have to assume normality.
Question b:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.
The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.
The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.