The marching band has 70 members. The band marches in equal rows of 10 members each. How many rows does the band make?
2 answers:
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Answer:
No, the standard deviation for number of pages in a romance novel is six only.
Step-by-step explanation:
First we state our Null Hypothesis, :
= 6
and Alternate Hypothesis, :
> 6
We have taken these hypothesis because we have to check whether our population standard deviation is higher than what editor hypothesized of 6 pages in a romance novel.
Now given sample standard deviation, s = 9 and sample size, n = 25
To test this we use Test Statistics = follows chi-square with (n-1) degree of freedom [
]
Test Statistics = follows
= 54
and since the level of significance is not stated in question so we assume it to be 5%.
Now Using chi-square table we observe at 5% level of significance the will give value of 36.42 which means if our test statistics will fall below 36.42 we will reject null hypothesis.
Since our Test statistics is more than the critical value i.e.(54>36.42) so we have sufficient evidence to accept null hypothesis and conclude that our population standard deviation is not more than 6 pages which the editor hypothesized.
Answer: f(x) = 1.2(x/2) if 120 ≤ x ≤ 240
Step-by-step explanation:
Let, she made f(x) sundaes in x minutes.
Then according to the question,
She just makes sundaes for a single shift of at most 4 hours and at least 2 hours,
⇒ She can make sundaes for a single shift of at most 240 minutes and at least 120 minutes,
That is, 120 ≤ x ≤ 240
Now, She can prepare 1 sundae every 2 minutes,
⇒ She can prepare 1/2 sundae every 1 minutes,
⇒ She can prepare x/2 sundae every x minutes,
Also, she earns $1.20 for each sundae she makes.
Thus, her total earning in x minutes,
⇒
Where, 120 ≤ x ≤ 240
Which is the required function related her earnings to the number of minutes she works.