Answer:
4, 6, 8, 10, 30
Step-by-step explanation:
Therefore, the value of x is 7.375.
Hence verifed.
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
Answer:
What is the sample variance of bottle weight 2.33
Step-by-step explanation:
First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.
Mean = (4+2+5+4+5+2+6) / 7
= 28 / 7
= 4
Sample Variance = ![\frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%284-4%29%5E%7B2%7D%20%2B%282-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%284-4%29%5E%7B2%7D%20%2B%5C%5C%285-4%29%5E%7B2%7D%20%2B%20%282-4%29%5E%7B2%7D%20%2B%5C%5C%286-4%29%5E%7B2%7D%5Cend%7Barray%7D%5Cright%5D%7D%7B7-1%7D)
=
= 2.33
