Answer:
Answer explained below
Step-by-step explanation:
There is a difference between the two terms correlation and causation. Correlation does not always imply the causation, but causation always implies the correlation.
The correlation is only the statistical or numerical relationship between two variables even they are related or not, but the causation is the relationship between the two variables.
Causation indicates that the result of one variable is the result of the other variable.
For the given scenario, a researcher finds that wealthier nations generally have a greater percentage of the population employed in the public sector. There is a causal relationship exists between the percentage of the population employed in the public sector and wealth of the nation. If the nation is wealthier, then it causes an increment in the employees of the public sector.
The wealth of the nation is the cause for a greater percentage of the population employed in the public sector. If the wealth of nation will increase, the number of employees in the public sector will increase. If the wealth of the nation will decrease, the number of employees in the public sector will also decrease.
There is a positive relationship or association or you can say that there is a positive correlation exists between the two variable ‘wealth’ of a nation and percentage of ‘employees’ in the public sector.
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
Answer:
Step-by-step explanation:
An estimate is usually a guess, but I somehow think that's not what you want.
She starts with 4 2/3 cups of batter. When she divides it into two, one of the batters has 2 1/4 cups. That's the one she puts blueberries in.
The other batter is the one you are interested in. How big is it?
Estimate: One
The estimated size would be 4 2/3 - 2 1/3 = 2 1/3 which is an estimate. It is just taking the closest number to use so you don't have to grab your calculator.
Actual Size: Two
4 2/3 - 2 1/4 is the size of the second batter. Since 2/3 is greater than 1/4 you need only subtract the whole numbers and then the fractions.
<em><u>Whole number subtraction:</u></em> 4 - 2 = 2
<em><u>Fraction subtraction:</u></em> 2/3 - 1/4
Find the Lowest common multiple between 3 and 4: It is 12. 3 and 4 are prime to each other. They have nothing in common.
- 2/3 to 12s: (2*4)/(3*4) = 8 / 12
- 1/4 to 12s: (1 *3) / (4*3) = 3/12
- 8/12 - 3/12 = 5/12
So the actual size of the batter containing the walnuts is 2 5/12
Answer:
H. 8%
Step-by-step explanation:
27 + 19 + 4 = 50 (total weight)
4% of 50 = 2
5% of 50 = 2.5
8% of 50 = 4
12% of 50 = 6
Therefore the answer would be H, 8% because 8% of 50 is 4
Answer:
7/20
Step-by-step explanation:
