A participate in a 21 mile walk a Thon walks at a steady rate of 3 mph. He thinks, “the relationship between the number of miles
2 answers:
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Answer:
y = -2x - 5
Step-by-step explanation:
<u>1) Find the slope of the line.</u>
The slope of the original line is the same as the slope of the parallel line.
Slope formula:
In this case you can choose any 2 set of points on the table.
=
=
= -2
So the slope of the line is -2
<u>2) Use the point-slope formula to find the equation of the line.</u>
Point-slope formula:
Now plug in the point (0, -5) and the slope -2 into the equation.
y - (-5) = -2(x - 0)
y + 5 = -2(x - 0)
To solve the equation first apply the distributive property.
y + 5 = -2x + 0
y + 5 = -2x
Next, subtract 5 from sides.
y = -2x - 5
You know have your equation in point-slope form!
Answer:
The total number of marbles in the bag is 50.
Step-by-step explanation:
Here, we have n trials, without replacement. So the hypergeometric distribution is used.
The mean of the hypergeometric distribution is:
In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.
15 marbles are drawn:
This means that
A bag contains some number of marbles. It is known that 20 of them are red.
This means that , since a success is drawing a red marble.
Assuming E(X)=6 red, what is the total number of marbles in the bag?
We have to find N when
So
The total number of marbles in the bag is 50.