Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
Answer:
3 units
Step-by-step explanation:
using the distance formula
We need a combination of coins that equal 65 cents.
The easiest one is 13 nickels.
Another combination is 6 dimes and 1 nickel.
A third is 2 quarters, 1 dime, and 1 nickel.
The list goes on.
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hope it helps
Answer:
Area_lawn = 393.75 π ft^2
Step-by-step explanation:
Maximum radius : 30 feet
Minimum radius: 30 feet - 0.25*(30feet) = 22.5 feet
(25 percent reduction)
To find the area of lawn that can be watered, we just need to calculate the area for the maximum radius and the minimum radius, and then subtract them.
Since the sprinklers have a circular area:
Area = π*radius^2
Max area = π*(30 ft)^2 = 900π ft^2
Min area = π*(22.5 ft)^2 = 506.25π ft^2
Maximum area of lawn that can be watered by the sprinkler:
Area_lawn = Max area - Min area = 900π ft^2 -506.25π ft^2
Area_lawn = 393.75 π ft^2
Answer:
8x² + 6xy - 4
Step-by-step explanation:
(5x² + 4xy - 7) + (3x² + 2xy + 3) ← remove parenthesis
= 5x² + 4xy - 7 + 3x² + 2xy + 3 ← collect like terms
= 8x² + 6xy - 4
