Answer:
a. 9.48
b. 195.3
Step-by-step explanation:
convert the corresponding per cent into a decimal (you can move the decimal place to the left by 2 or divide by 100) then just multiply it with the "of" number
Answer: The functions have the same initial value
Step-by-step explanation: I say this because "Tour 1" is a linear funtion. I subtracted 45 from 55 and got 10, this happened for all the numbers on the table. On the other hand, When observing the graph it shows the initial point between 40 and 30. I estimated and got 35. When I went to check my answer, I subtracted 35 from 45 and got 10. Therefore, 35 is the initial value for both the graph and the chart.
Answer:
a) (iii) ANOVA
b) The ANOVA test is more powerful than the t test when we want to compare group of means.
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:



And we have this property

Solution to the problem
Part a
(i) confidence interval
False since the confidence interval work just when we have just on parameter of interest, but for this case we have more than 1.
(ii) t-test
Can be a possibility but is not the best method since every time that we conduct a t-test we have a chance that we commit a Type I error.
(iii) ANOVA
This one is the best method when we want to compare more than 1 group of means.
(iv) Chi square
False for this case we don't want to analyze independence or goodness of fit, so this one is not the correct test.
Part b
The ANOVA test is more powerful than the t test when we want to compare group of means.
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years.
<h3>How to determine the doubling time of money account</h3>
The <em>compound</em> interest takes into account the change of money deposited in time in contrast with the <em>simple</em> interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.
The <em>compound interest</em> formula is described below:
<em>C = C' · (1 + r/100)ⁿ</em> (1)
Where:
- r - Interest rate
- n - Number of periods
- C' - Initial money amount
- C - Current money amount
If we know that C = 2 · C' and r = 5.2, then the doubling time is:
n = /㏒ C/C'/㏒ (1 + r/100)
n = ㏒ 2/㏒ 1.052
n ≈ 13.674
The <em>money</em> account is doubled at an<em> interest</em> rate of 5.2 % compunded quarterly, that is, under the model of <em>compound</em> interest in a time period of about 3.5 years. 
To learn more on compound interests, we kindly invite to check this verified question: brainly.com/question/14295570
Answer:
B. 9(4+8)
Step-by-step explanation:
Start by simplifying the original expression:
36+72=108
Now, let's try each answer choice:
A. 18(2+3)
Add the numbers in the parentheses:
18(5)=90 --> wrong!
B. 9(4+8)
Add the numbers in the parentheses:
9(12)=108 --> correct!
C. 3(10+24)
Add the numbers in the parentheses:
3(34)=102 --> wrong!
D. 2(19+27)
Add the numbers in the parentheses:
2(46)=92 --> wrong!
Therefore the answer is B. 9(4+8)