Answer:
4x +3y = 10
Step-by-step explanation:
The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.
The equation for the perpendicular line through point C(4, -2) can be written as ...
Δx(x -4) +Δy(y -(-2)) = 0
4(x -4) +3(y +2) = 0
4x +3y -10 = 0 . . . . . . general form equation for the line
4x +3y = 10 . . . . . . . . .standard form equation for the line
Since, the probability of success during a single event of a geometric experiment is 0.34.
We have to find the probability of success on the 6th event.
Since it is a geometric experiment. So, when a discrete random variable 'X' is said to have a geometric distribution then it has a probability density function (p.d.f.) of the form:
P=
, where q = 1 - p
So, now
P = 
where 'p' is the probability of success and 'q' is the probability of failure and x is the number of events.
Since the probability of success (p)is 0.34
Therefore, probability of failure(q)= 1 - p
= 1 - 0.34
= 0.66
and x = 6
So, P = 
= 
= 
= 0.0425
So, the nearest tenth of a percent of probability of success on the 6th event =
4.257 %
Rounding to the nearest tenth, we get
= 4.3%
So, Option A is the correct answer.
Do 2/5+5/7 and there's your answer. 2/5+5/7=14/35+25/35=39/35=1 4/35. :)
Answer:
Step-by-step explanation:
The client starts with 105.83 dollars
He requests 40 of which to be subtracted in denominations of 10, meaning 4 10 dollar bills are being removed.
After this he has 65.83 more dollars to withdraw, the next biggest bill denomination is a 50, so lets subtract 50 from our account.
Now he is left with 15.83, subtract another 10 dollar bill.
That leaves us with 5.83, subtract one 5 dollar bill.
Leaving us with 0.83, subtract 3 quarters
That leaves us with 8 cents, lets subtract one nickel, leaving us with 3 cents.
Now with those 3 cents we can subtract 3 pennies.
Meaning the least amount of denominations required is:
1 50-Dollar bill
5 10-Dollar bills
1 5-Dollar bill
3 Quarters
1 Nickel
3 Pennies