Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
Answer:
Step-by-step explanation:
STEP 1: Factor x
^2
−
8
x
+
12 using the AC method.
STEP 2: Find the LCD of the terms in the equation.
STEP 3: Multiply each term by (
x
−
6
)
(
x
−
2
) and simplify.
STEP 4: Solve the equation.
STEP 5: Figure out the answer.
Answer:
3.5 = x + 4*y
4 = 2x + 2*y
Step-by-step explanation:
The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).
If we call 'd' the total distance and 'k' the number of laps, we have the equation:
d = x + k*y
So with the data given, we can have the following system:
3.5 = x + 4*y
4 = 2x + 2*y
In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.
Answer:
Step-by-step explanation:
Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:
5022 cans
---------------------- = 279 cans per homeroom
18 homerooms
Answer:
m = 3
Step-by-step explanation:
Find the slope of the line connecting (-2,-3) and (-4,-9). (Note: you must use those parentheses.)
As we go from x= -4 to x = -2, an increase of 2, y increases by 6 from -9 to -3. The slope of this line is m = rise / run = 6/2 = 3.
