<span>The median is a better measure of center when there is an outlier which will make the mean not be a good estimate of the center. Option B has $1075 as an outlier (i.e. it is far away from the other data sets). Hence, the median will be a better estimate of the center. Similarly, 94 is an outlier in option C and hence, the median is a better estimate. Options A and D has no outliers, making the mean a good estimate of the centre.</span>
Answer:
x = 4
Step-by-step explanation:
After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.
-3(4x +3) +4(6x +1) = 43 . . . . . . given
-12x -9 +24x +4 = 43 . . . . . eliminate parentheses
12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)
12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant
x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x
The solution is x = 4.
__
<em>Check</em>
-3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x
-3(16 +3) +4(24 +1) = 43
-3(19) +4(25) = 43
-57 +100 = 43 . . . . . true
112 ounce’s are in 7 pounds
Answer:
1,-1,3,-3
Step-by-step explanation:
your P is the first number or the number with the highest exponent, your Q is the last number or the number with no variables. So you make a list of what multiplies to your P's and what multiplies to your Q's and you divide your P list by Q. So 3 is made by -1,1,-3,3 and -1 is made by -1,1. So dividing that you get your list of -3,-1,1,3
Answer:
n = 2.5 or n = (5/2)
Step-by-step explanation:
(2n+4) +6 = -9 + 4(2n+1)
first distribute the 4 to the (2n+1)
(2n+4) +6 = -9 + (8n+4)
then add 9 to both sides to cancel out the -9 on the right side
(2n+4) +15 = (8n+4)
next subtract (2n+4) from both sides to cancel out the (2n+4) on the left side combining like terms as you subtract
15 = 6n
then divide 15 by 6 to get your final answer
n = 2.5
or
n = (5/2)
