Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:
3.07% probability that the third oil strike comes on the fifth well drilled.
Step-by-step explanation:
For each oil drill, there are only two possible outcomes. Either there is a strike, or there is not. The probability that oil is striken in a trial is independent of other trials. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Strike oil with probability 0.20.
This means that 
Find the probability that the third oil strike comes on the fifth well drilled.
2 strikes on the first four drills(P(X = 2) when n = 4) and strike on the fifth(0.2 probability).
0.2*0.1536 = 0.0307
3.07% probability that the third oil strike comes on the fifth well drilled.
You have to find the LCD or least common denominator.
In this case the LCD would be (x-6)(x+5).
Problem: x/ x-6 - 1/x+5
Step 1: multiply x-6 to the numerator and denominator of 1/x+5
1(x-6)/ (x+5)(x-6)
Step 2: multiply x+5 to the numerator and denominator of x/x-6
x(x+5)/ (x+5)(x-6)
After all that, this is how the problem should look now
x(x+5)/ (x-6)(x+5) - 1(x-6)/ (x-6)(x+5)
If you simplify this you get
x²+5x-x+6/ (x-6)(x+5)
If you subtract both 5x-x (like terms) you get
x²+4x+6/ (x-6)(x+5)
which is the answer
Answer:
$647.99
Step-by-step explanation:
Divide the tax rate (9.750%) by 100 to get a decimal rate of 0.09750.
Add 1 to the decimal rate to get 1.09750.
Divide that tax-included price ($647.99) by 1.09750 price to get a pretax price of $590.42.
Subtract the pretax price from $647.99 to get the sales tax amount of $57.57.
Answer:
enjoy that's the answer
Step-by-step explanation:
the answer is 5/3
