PLEASE HELP ME I'M STUCK. !! Subtract the polynomials: please please show work!
1 answer:
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Using the t-distribution, it is found that the correct option is:
0.005 < P-value < 0.01, reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the mean of a given population is equal to 85, that is:
We have a left-tailed test, hence, at the alternative hypothesis, it is tested if the mean of the population is less than 85, that is:
The test statistic is of t = -3.018.
Using a t-distribution calculator, with test statistic t = -3.018, 13 - 1 = 12 df and a significance level of 0.01, it is found that the p-value for a left-tailed test is of 0.0051.
The p-value is <u>less than 0.01</u>, hence the null hypothesis is rejected and the correct option is:
0.005 < P-value < 0.01, reject the null hypothesis.
More can be learned about the t-distribution at brainly.com/question/16313918
<u><em>Answer:</em></u>
1. Couples tickets: $8
Individual tickets: $4
2. Song download cost: $2
Movie download cost: $15
<u><em>Step-by-step explanation:</em></u>
You can solve both of these questions by doing system of equations.
Let's start with question 1.
There are 2 variables in this equation:
- Couples tickets price: let's represent these with the letter C
- Individual tickets price: let's represent these with the letter K
Writing the two equations would look this these:
5c + 2k = 48
3c + 2k = 32
Next, isolate a variable. I am going to isolate K in the first equation.
Now that we isolated a variable we can plug that back in to the second equation:
We found that c is equal to 8 so we can put that back in to an equation to solve for k.
5(8) + 2k = 48
40 + 2k = 48
2k = 8
k = 4
Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.
<u><em>Check #1:</em></u>
5(8) + 2(4) = 48
40 + 8 = 48
48 = 48
3(8) + 2(4) = 32
24 + 8 = 32
32 + 32
Now, let's go on to question 2.
There are 2 variables in this equation:
- Price of songs downloaded: let's represent these with S
- Price of movies downloaded: let's represent these with M
Writing the two equations would look like this:
15s + 11m = 195
15s + 8m = 150
There is a simple way to answer this system, however.
If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:
15s + 11m = 195
-(15s +8m = 150)
Minus them to get this equation:
3m = 45
Solve
m = 15
We have found that each movie download costs $15, now let's plug this back into an equation:
15s + 11(15) = 195
15s + 165 = 195
15s = 30
s = 2
Each song costs $2 to download.
<em><u>Check #2:</u></em>
15(2) + 11(15) = 195
30 + 165 = 195
195 = 195
15(2) + 8(15) = 150
30 + 120 = 150
150 = 150
<em>I hope this helps!!</em>
<em>- Kay :)</em>