He will expect to reach base 35%*150 times, or .35*150=52.5 times. Although you cannot "reach base half of a time", this is the expected value for the amount of times he would reach base in this situation.
Answer:
C) 5/8=20/32
Step-by-step explanation:
Because 5*4=20 and 8*4=32.
Answer:
Step-by-step explanation:
GIVEN: A farmer has of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is .
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be and
perimeter of rectangular pen
area of rectangular pen
putting value of
to maximize
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen
width of rectangular pen
Maximum area of rectangular pen
Hence maximum area of rectangular pen is and dimensions are
Answer:
multiple choice is worth 2
short response is worth 4
Step-by-step explanation:
23x + 10y = 86
28x + 5y = 76
solve by elimination
multiply the top by -1 and the bottom by 2
-23x + -10y = -86
56x + 10y = 152
add them
33x = 66
x = 2
with x = 2 plug x into one of the equations
23x + 10y = 86
23(2) + 10y = 86
46 + 10y = 86
10y = 40
y = 4
x = 2 and y = 4 so
multiple choice is worth 2
short response is worth 4