Step-by-step explanation:
k=8 that is the equation with no solutions
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!
|x| < 6 ⇔ x < 6 ∧ x > -6 ⇒ {x| x > -6 and x < 6}
Answer: b.
Answer:
The answer is D.
Step-by-step explanation:
The answer is D because if you rotate a right triangle it will still have the same sides, same shape, same everything except position. Like if I moved my B point 90 degrees, the triangle ABC altogether would stay the same, but my points have changed so instead of B' being in the same place as B, it would be in another quadrant or area that is not B.
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.