Raquel and Van live in two different cities. As part of a project, they each record the lowest prices for a gallon of gas at gas
stations around their cities on the same day. Raquel’s data reflect a mean price of $3.42 with a standard deviation of 0.07. Van’s data reflect a mean price of $3.78 with a standard deviation of 0.23.
Which statement is true about their gas-price data?
A- Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
B- Van’s data are most likely closer to $3.42 than Raquel’s data are to $3.78.
C- Raquel’s data are most likely closer to $3.78 than Van’s data are to $3.42.
D- Van’s data are most likely closer to $3.78 than Raquel’s data are to $3.42.
Which statement is true about their gas-price data?
A- Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.
B- Van’s data are most likely closer to $3.42 than Raquel’s data are to $3.78.
C- Raquel’s data are most likely closer to $3.78 than Van’s data are to $3.42.
D- Van’s data are most likely closer to $3.78 than Raquel’s data are to $3.42.
2 answers:
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Answer:
length = 60 foot, width = 30 foot
Step-by-step explanation:
Area of rectangular part, A = 1800 ft²
Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.
Let the length of the rectangle is l and the width of the rectangle is W.
Area = Length x width
A = L x W
1800 = L x W ...... (1)
Total cost of fencing, C = 6 x ( L + W + L) + 18 x W
C = 6 (2L + W) + 18 W
C = 12 L + 24 W
Substitute the value of W from equation (1), in equation (2)
Differentiate both sides with respect to L:
Put it equal to zero for maxima and minima
L = 60 foot
and W = 30 foot
So, the costing is minimum for length = 60 foot and the width = 30 foot.