<h3>
Answer: 31%</h3>
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Explanation:
The number 4 shows up 14 times
The number 3 shows up 6 times
This is a total of 14+6 = 20 times we get a 3 or a 4 on the dice
This is out of 64 total rolls
Use a calculator to find that 20/64 = 0.3125
Move the decimal point over 2 spots to the right to get 31.25%
Lastly, round this to the nearest whole number percent to get 31%
Keep in mind that this only works for experimental probability. Theoretical probability is going to be different.
Answer:
$7,200
Step-by-step explanation:
r=p × n
where
r=revenue
p = price per item
n = number of items sold
A change in price changes quantity ( number sold)
Variable x changes with price, then
Let
p+x=a dollar price increase
p-x= a dollar price decrease
n+x= an increase in quantity sold
n-x= a decrease in quantity sold
Therefore,
A $2 dollar increase in price=p+2x
2 decrease in room quantity sold= n-2x
Substituting in the above equation
r=(p+2x)*(n-2x)
P=$60
n=180
Then
r=(60+2x)*(180-2x)
r=10,800-120x+360x-4x^2
r=-4x^2-240x+10,800
Solve the quadratic equation
The maximum value of x in the vertex = - b/2*a
Where
b=240
a=-4
Value of x=-240/2*(-4)
X=30
r=-4x^2-240x+10,800
=-4(30)^2-240(30)+10,800
=-4(900)-7200+10,800
=3,600-7200+10800
=$7,200
The rate that maximises revenue=$7,200
Your correct they are in the right spots
Answer:
7.6667 miles per hour
Step-by-step explanation:
Since the question is asking for her rate in Miles per hour. We want to convert the given time (minutes) to hours. 45 minutes is simply 3/4 of an hour, or 0.75 hours.
Now that we have how many miles she biked and how many hours it took, we simply divide the two values.
By converting 5 and 3/4 into a single fraction it would be 23/4, so we would divide 23/4 by 0.75 hours to get the final answer of 7.6667 miles per hour.