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Hello!
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❖ There are 2 terms in 5x - 2. Each number (including the variable) counts as a term.
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Answer:
a) 0.4770
b) 3.9945
c) z-statistics seem a large value
Step-by-step explanation:
<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>
Based on the null hypothesis:
: 0.35
and the standard deviation σ = 
=
≈0.4770
<u>b. Find the z statistic</u>
z-statistic is calculated as follows:
z=
where
- X is the proportion of employees in the survey who take advantage of the Credit Union (
) - is the proportion in null hypothesis (0.35)
- s is the standard deviation (0.4770)
- N is the sample size (300)
putting the numbers in the formula:
z=
= 3.9945
<u>c. Does the z statistic seem like a particularly large or small value?</u>
z-statistics seem a large value, which will cause us to reject the null hypothesis.
<h3>
Answer: 10 metal bats</h3>
"Ratio of wooden bats to metal bats is 2 to 1" basically means "there are twice as many wooden bats (compared to metal ones)". So if we had 3 metal bats, then we'd have 2*3 = 6 wooden bats. If we had 7 metal bats, then we have 14 wooden ones (because 2*7 = 14). And so on. The basic rule is to multiply the amount of metal bats by 2 to get the amount of wooden ones.
We can go in reverse to divide the amount of wooden bats to get the amount of metal ones. So 20/2 = 10 is the amount of metal bats.
------------------
A more formal approach is to use the proportion below to solve for x
20/x = 2/1
20*1 = x*2
20 = 2x
2x = 20
2x/2 = 20/2
x = 10
and we get the same answer.
Answer:
12.67
Step-by-step explanation:
13.00-0.33=12.67
For the third problem, your work should look like this:
-b +/- √b^2 - 4ac / 2a ***** Plug in what you know ***********
-4 +/- √4^2 - 4(6)(-3) / 2(6) ***** Simplify ****************************
-4 +/- √4^2 + 72 / 12
-4 +/- √16 + 72 / 12
-4 +/- √88 / 12 (The -4 and 12 can be simplified since they are constants.)
-1 +/- √88 / 3 (√88 can be broken down)
√88 = 2√22 this means that you should now have:
-1 +/- 2√22 / 3
**** Now you have 2 different answers *************************************
If they want the exact answers, leave the answers as what you have. If they want an approximation as your answer, then simplify the problem further.
For exact answers:
answer 1: answer 2:
-1 + 2√22 / 3 -1 - 2√22 / 3
For completely simplified answers:
answer 1: answer 2:
-1 + 9.38 / 3 -1 - 9.38 / 3
8.38 / 3 -10.38 / 3
x = 2.79 x = -3.46
******* Note that the 9.38 is a rounded value. It is not the exact decimal because it was rounded to the nearest hundredths place. *****************
******* Also note that the first answer is rounded to the nearest tenths place. *********
