Well if you take 468 and divide it by 18 you get 26 that 26mpg take 754 divide it by 26 and you get 29 and that's how many gallons he used
Answer:
<em>Answer is </em><em>given below with explanations</em><em>. </em>
Step-by-step explanation:
![given \: the \: line \: n \: passes \: through \\ \: ( - 3, - 7.5) \: \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\ \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ here \: x1 = - 3 \: \: \: y1 = - 7.5 \\ and \: \: x2 = 2 \: \: \: y2 = - 5 \\ \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)} = \frac{x - ( - 3)}{2 - ( - 3)} \\ \frac{y + 7.5}{ - 5 + 7.5} = \frac{x + 3}{2 + 3} \\ \frac{y + 7.5}{2.5} = \frac{x + 3}{5} \\ dividing \: by \: 5 \: on \: both \: side s\\ \frac{y + 7.5}{0.5} = \frac{x + 3}{1} \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.](https://tex.z-dn.net/?f=given%20%5C%3A%20the%20%5C%3A%20line%20%5C%3A%20n%20%5C%3A%20passes%20%5C%3A%20through%20%5C%5C%20%20%5C%3A%20%28%20-%203%2C%20-%207.5%29%20%5C%3A%20%20%5C%3A%20and%282%2C%20-%205%29%20%5C%5C%20the%20%5C%3A%20equation%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20line%20%5C%3A%20is%20%5C%5C%20%20%5Cfrac%7By%20-%20y1%7D%7By2%20-%20y1%7D%20%20%3D%20%20%5Cfrac%7Bx%20-%20x1%7D%7Bx2%20-%20x1%7D%20%20%5C%5C%20here%20%5C%3A%20x1%20%3D%20%20-%203%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20y1%20%3D%20%20-%207.5%20%5C%5C%20and%20%5C%3A%20%20%5C%3A%20x2%20%3D%202%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20y2%20%3D%20%20-%205%20%5C%5C%20%20%5Cfrac%7By%20-%20%28%20-%207.5%29%7D%7B%20-%205%20-%20%28%20-%207.5%29%7D%20%20%3D%20%20%5Cfrac%7Bx%20-%20%28%20-%203%29%7D%7B2%20-%20%28%20-%203%29%7D%20%20%5C%5C%20%20%5Cfrac%7By%20%2B%207.5%7D%7B%20-%205%20%2B%207.5%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B2%20%2B%203%7D%20%20%5C%5C%20%20%5Cfrac%7By%20%2B%207.5%7D%7B2.5%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B5%7D%20%20%5C%5C%20dividing%20%5C%3A%20by%20%5C%3A%205%20%5C%3A%20on%20%5C%3A%20both%20%5C%3A%20side%20s%5C%5C%20%20%5Cfrac%7By%20%2B%207.5%7D%7B0.5%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B1%7D%20%20%5C%5C%200.5%28x%20%2B%203%29%20%3D%20y%20%2B%207.5%20%5C%5C%200.5x%20%2B%201.5%20%3D%20y%20%2B%207.5%20%5C%5C%200.5x%20-%20y%20-%206%20%3D%200%20%5C%5C%20is%20%5C%3A%20the%20%5C%3A%20required%20%5C%3A%20equation.)
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
We want to get rid of the stuff in the denomenator
gcd of the denomenator is 2x
but wait, we can get rid of the deonmenator in the numerator by multiplying by 4x
muliplty the whole thing by 4x/4x
we get
The question given is incomplete, I googled and got the complete question as below:
You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.
a. What is the probability that your last pot will have the necessary 7 crabs?
b. What is the probability that your last pot will be empty?
Answer:
a. Probability = 0.0083
b. Probability = 0.0907
Step-by-step explanation:
This is Poisson distribution with parameter λ=2.4
a)
The probability that your last pot will have the necessary 7 crabs is calculated below:
P(X=7)= {e-2.4*2.47/7!} = 0.0083
b)
The probability that your last pot will be empty is calculated as:
P(X=0)= {e-2.4*2.40/0!} = 0.0907