Answer:
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
and we plug in there everything we need.
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
At this point we have everything, let's replace and write down the line in a better looking form
The mass of the CO2 produced IS 630 Kg
<h3>What is gasoline?</h3>Gasoline is a kind of fuel that is composed mostly of isooctane. In most engines, gasoline is widely used hence the demand for the product is high. We know that the combustion of an alkane (of which gasoline is one) would produce carbon dioxide and water according to a balanced reaction equation.
The balanced reaction equation for the combustion of gasoline is shown in the image attached to this answer.
Since a Puerto Rico hospital uses 3 gallons of gasoline per hour, and there are 24 hours in a day, it the follows that 72 gallons of gasoline are used per day. This 72 gallons is the equivalent of 272.88 L
Now;
Given that the density of gasoline = 748.9 g/L
Mass of gasoline = 748.9 g/L * 272.88 L = 204 Kg
Number of moles of gasoline = 204 * 10^3/114 g/mol = 1789.5 moles
If 2 moles of gasoline produces 16 moles of CO2
1789.5 moles produces 1789.5 moles * 16 moles/2 moles = 14316 moles
Mass of CO2 = 14316 moles * 44 g/mol = 630 Kg
Learn more about gasoline:brainly.com/question/13402652?
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Answer:
0.0671% probability that at least 5 of them are born either in April or in October
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they were born in April or October, or they were not. The probabilty of a student being born in April or October is independent of other students. 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.
Probability of a student being born in April or October
April has 30 days, October 31
The year has 365 days. So
A graduate class consists of six students.
This means that
What is the probability that at least 5 of them are born either in April or in October?
In which
0.0671% probability that at least 5 of them are born either in April or in October