Answer:
See below
Step-by-step explanation:
Alex finally understands how Bob was trying to trick him into winning the bet because of how he puts in the condition for probability being less than 10%. Whichever way the outcome of the coin toss turns out to be, it will be in Bob's favor and Alex will lose the bet. If the coin is flipped 3 times, the probability of having heads exactly twice is 
The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).
To find actual mileage, multiply by 0.45:
500.34 x 0.45 = 225.153 miles.
Round the answer as needed.
Answer:
-4
Step-by-step explanation:
The line has a "rise" between the two points of -4 units for a "run" of +1 unit. The slope is the ratio ...
m = rise/run = -4/1 = -4.
The slope is -4.
_____
<em>Additional comment</em>
A "whole number" must be non-negative. Here, the slope is negative. If you're restricted to "a fraction or a whole number", then the appropriate answer is the fraction -4/1. We suspect that "integer" is meant where "whole number" is used.
Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
