It's suppose to be -18 so I guess no real number....
Answer:
plain = $10.50
pepperoni = $12.50
Step-by-step explanation:
x = pepperoni
y = plain
3x + 2y = 58.5
2x + 4y = 67
using substitution method, I multiplied the first system by -2 to get:
-6x - 4y = -117
+ 2x + 4y = 67
-4x = -50
x = $12.50
2(12.5) + 4y = 67
25 + 4y = 67
4y = 42
y = $10.50
Notice that for this question, they are providing you with:
1) The slope of the line (4)
2) a point on the plane through which the line goes (6, -2)
So you can directly use for this the "point-slope" form of a line which is as follows:

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.
So, let's use the info they gave you to complete this:

which we can work out a little more:

And even a little more to finish the equation of the line in its standard slope-intercept form:

So the equation of the line is:
Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.
Answer:
It is 6.8
Step-by-step explanation:
3/5 in decimal form is 0.6, so 7.4 - 0.6 is 6.8.
*Hope this helps*