Answer:
area of triangle =1/2×perpendicular×base
35m²×2=(g-11)(g-8)
70=g(g-8)-11(g-8)
70=g²-8g-11g+88
70=g²-19g+88
0=g²-19g+88-70
0=g²-19g+18
g²-18g-g+18=0
g(g-18)-1(g-18)=0
(g-18)(g-1)=0
either
g=18
or
g=1
Step-by-step explanation:
base=18-8=10m
perpendicular=18-11=7m
The volume of a sphere with respect to its diameter is:
V=(4π/3)(d^3/8)
V=(πd^3)/6, since d=2155mi
V≈1667978979π mi^3
The expected value of the first game is -$0.50 and of the second game is -$0.52.
There are 10³ possible numbers for the lottery, and only 1 of them will match in the correct order; this gives a probability of 1/1000. To find the expected value, we multiply this by the winnings (499 after the $1 cost); we also multiply the probability of losing (999/1000) by the amount lost (-1):
1/1000(499)+999/1000(-1)
499/1000 - 999/1000 = -500/1000 = -0.50
For the second game, since the number is "boxed", there are 3! ways to get the correct digits; this gives a probability of 6/1000. Multiply this by the winnings, 79 (after the $1 cost); multiply the probability of losing (994/1000) by the loss (-1):
6/1000(79) + 994/1000(-1) = 474/1000 - 994/1000 = -520/1000= -0.52
Answer:
There are 20 ways the pizza can be ordered.
Step-by-step explanation:
Choices available in Sizes = 4
Choices available is toppings = 5
Since these choices are mutually exclusive,
So, by the PERMUTATION RULE
Number of ways a pizza can be ordered is : 4 x 5 = 20
So, there are 20 ways the pizza can be ordered.
Answer:
C.
Step-by-step explanation:
The volume should be 5x^3.
The length is 5x and the width is x so the length is 5 times the width.