You sleep 1/3 of the day.
Data:
15 16 14 15 19 17
n=6 points
sum is 96
mean is 96/6 = 16
Now we look at the absolute deviations, each of which is the absolute value of a score minus the mean, basically the distance of the score to the mean .
Scores 15 16 14 15 19 17
AbsDev 1 0 2 1 3 1
The sum of the absolute deviations is 8 and there are six of them so the
Mean Absolute Deviation = 8/6 = 4/3
Answer: 2. 8/6
Proportional equations are the equations that have the graph which pass through (0,0).
y = -9x is proportional.
y=x is proportional
y=1/2x is proportional
That's it. Only these three equations have (0,0) intercept.
Answer:
x = 12
Step-by-step explanation:
<u>To find "x"</u>, we need to <u>isolate it</u>. This means move "x" to the left side, and everything else to the right side.
When moving a number, do its <u>reverse operation</u> to the entire equation.
x + 9 = 2x - 3
x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides
-x + 9 = -3
-x + 9 - 9 = -3 - 9 Subtract 9 from both sides
-x = -12
-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives
x = 12 Final answer
Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".
LS: (left side)
x + 9
= 12 + 9 Add
= 21
RS: (right side)
2x - 3
= 2(12) - 3 Multiply before subtracting
= 24 - 3 Subtract
= 21
Both sides equal to 21 when "x" is 12.
LS = RS left side equals right side
Therefore the answer is correct.
Answer:
no
Step-by-step explanation:
The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.
__
The first relation can be written as ...
$10 = 4A +4O
$10 = 4(A +O) . . . . factor out 4
$2.50 = A +O . . . . divide by 4
The second relation can be written as ...
$12 = 6A +6O
$12 = 6(A +O) . . . . factor out 6
$2 = A +O . . . . . . . divide by 6
These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.
No unique prices can be assigned.
