Answer:
2
Step-by-step explanation:
To find the total probability, we first need to solve for the probability of the individual events.
Event 1:
P(consonant)=7/11
We know this to be true because out of the 11 total possibilities for the event, 7 of them are consonants.
R E P L A C E M E N T
Event 2
P(e)=3/10
We know this to be true because out of the 10 total possibilities for the event (since we didn't replace the first card we withdrew), 3 of them are the letter 'e'.
R E P L A C E M E N T (-1 to account for the first card we withdrew)
The possibility of both events...
P(consonant then 'e')=7/11*3/10=21/110
Answer: P=21/110
The dependent variable is f(m)...total money earned per day
the independent variable is m...number of miles
f(m) = 3.5m + 65
for 40 miles..
f(40) = 3.5(40) + 65
= 140 + 65
= 205 <== money earned for the day
========================
the dependent variable is f(p)....total charged
the independent variable is p...the number of pounds
f(p) = 3.5p
for 5 lbs...
f(5) = 3.5(5)
f(5) = 17.50 <== total that was charged
C. You have to pay interest on credit cards
Hope this helps
Answer:
The volume of the sculpture is 67.824 ft^3
Step-by-step explanation:
In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.
Mathematically, the volume V of the sculpture is given by;
V =1/3 * π * r^2 * h
Now, we have the height directly from the question but we do not have the value of the radius.
We can obtain the value of the radius from the circumference of the base
Mathematically, the circumference C of the base of the cone is given by;
C = 2 * π * r
Inputing the value of the circumference, we have;
22.608 = 2 * 3.14 * r
r = 22.608/(2 * 3.14)
r = 22.608/6.28
r = 3.6 feet
Now plugging these values into the volume equation, we have
V = 1/3 * 3.14 * 3.6^2 * 5
V = 67.824 ft^3
