Step-by-step explanation + Answer:
x = 1st job
y = 2nd job
x + y = 22......x = 22 - y
7x + 8.25y = 171.50
7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job
x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job
Answer: 
Step-by-step explanation:
You can use the following formula to calculate the surface area of the right rectangular prism:

Where "w" is the width, "l" is the length, and "h" is the height.
Knowing that this rigth rectangular prism has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.
Then, the surface of the right rectangular prism is:
![SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2](https://tex.z-dn.net/?f=SA%20%3D%202%5B%283cm%2A8cm%29%20%2B%20%288cm%2A5cm%29%20%2B%20%285cm%2A3cm%29%5D%5C%5C%5C%5CSA%3D158cm%5E2)
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.
Answer:
centre of the circle(h,k)=(5,2)
radius(r)=10
Step-by-step explanation:
Now,
equation of the circle is giveb by (x-h)^2+(y-k)^2=r^2
or,(x-5)^2+(y-2)^2=(10)^2
or,x^2-10x+25+y^2-4y+4=100
or,x^2+y^2-10x-4y+29-100=0
or,x^2+y^2-10x-4y-71=0
<span>m<BDC = m<ADB = 37
answer
A 37</span>