Answer:
For 25, the answer is C
Step-by-step explanation:
How I got the answer for 25 is:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
How you do this is first you need to find the sum of the data values, (add all the numbers together) and divide the sum by the number of data values.(and divide that number by how many numbers you added together in the first place)
In this case, we'd be adding 44 + 39 + 47 + 38 + 38 + 41 + 40, and that equals 287. Now we'll divide 287 by how many numbers we added together, which is 7 numbers. 287 ÷ 7 = 41. That's the mean of the data set.
Next, we'll find the absolute deviation of the mean. How we do this is, we find how far away all the numbers are from 41.
44 is 3 away from 41
39 is 2 away from 41
47 is 6 away from 41
38 is 3 away from 41
41 is 0 away from 41
40 is 1 away from 41
So now, we add all of the distances together (3, 2, 6, 3, 0, and 1), and that equals 15! Now we do 15 ÷ 6, which is 2.5 and the reason we're dividing by 6 is because we're dividing by the number of distances we added together. Now, if you look on your worksheet, the closest answer to 2.5 is C, (2.6) so I'd chose that as the correct answer. I hope that helped!
Answer:
a = 2/3
Step-by-step explanation:
3 1/3 = 5a
/5 /5 get the variable alone by removing the 5
2/3 = a
Y=10
explanation:
-4•2= -8
2•4=8
-8+8=0
y=10
Answer: Jhon is 42 years old, and his son is 21 years old.
Step-by-step explanation:
Let's define:
J = John's age
S = Age of the son.
We know that:
"John is twice as old as his son"
J = 2*S
"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"
In 42, their ages will be:
J + 42 and S + 42.
And the ratio 4:3 means that:
(J + 42) = (4/3)*(S + 42)
Then we have the system of equations:
J = 2*S
(J + 42) = (4/3)*(S + 42)
To solve it we can first replace the first equation into the second one, to get:
(2*S + 42) = (4/3)*(S + 42)
2*S - (4/3)*S = (4/3)*42 - 42
S*(6/3 - 4/3) = (1/3)*42
S*(2/3) = (1/3)*42
S = (3/2)*(1/3)*42 = 21.
And we can find Jonh's age if we use the first equation:
J = 2*S = 2*21 = 42
Jhon is 42 years old, and his son is 21 years old.
Answer:
First we must learn to dissect a question.
<h3>Explanation:</h3>
Part 1
We can list our facts first:
- Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
- She needs 13 dozen cookies
She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons
<h3>Part 2</h3>
She needs 9.75 teaspoons and 3 teaspoons make a tablespoon
So..
