Let x=L.
Then let 3x+2=W
Giving you 124=(x)+(x)+(3x+2)+(3x+2)
Then simplify and solve.
124=8x+4
124-4=8x
120=8x
120/8=x
15=x
Then put that value back into the original equations to find the dimensions.
x=L
15=Length
and
3x+2=W
3(15)+2=W
77=Width
Answer:
d. The variance is 9.56 and the standard deviation is 3.09.
Step-by-step explanation:
From the above question, we are given the following data set.
3, 7, 8, 8, 8, 9, 10, 10, 13, 14
a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10
= 90/10
= 9
b) Variance
The formula for sample Variance = (Mean - x)²/ n - 1
Mean = 9
n = 10
Sample Variance =
(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1
= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9
= 86/9
= 9.555555556
≈ Approximately 9.56
Variance = 9.56
Sample Standard deviation = √Sample Variance
= √9.56
= 3.0919249667
≈ Approximately 3.09
Water carried = 1/2 gallon
Water drank =
= 2/3 of 1/2 gallon
= 2/3 × 1/2
= 2/6
= 1/3 gallon
Answer:
Rounding out we have that 15 liters equals 3.96 gallons
Step-by-step explanation:
I hope this halp
Answer:
9 inches on the map represents 396 miles.
Step-by-step explanation:
Here let's convert 44 miles to inches.
44 miles is 2787840 inches.
So according to the map, 1 inch = 2787840 inches.
We need to multiply both of these values by 9 to find out how many miles 9 inches represents.
1 inch = 2787840 inches
1 * 9 inches = 2787840 * 9 inches
9 inches = 25090560 inches.
Then convert back to miles.
25090560 inches = 396 miles.
That means, 9 inches on the map represents 396 miles.