Answer:
7/36
Step-by-step explanation:
find the LCD write all the numerators above the least common denominator
LCD is 36
4 +3 /36 =7/36
You find your slope with the equation
(y2-y1)/(x2-x1)
(-1-2)/ -4-1.5)
(-3)/(-5.5)
.54x is your slope
you then plug that into your equation.
y=mx+b
y=.54x+b
you substitute one of our coordinates.
(-4,-1)
-1=.54(-4)+b
-1=-3.45+b
+3.45
2.45=b
your equation is
y=.54x+2.45
standard form
y-.54x=2.45
Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
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.
In this problem we have that:

We want P(X = 12). So


P(X = 12) = 0.0064.
Answer:
C will be the rightful answer
The difference between the mixed numbers is equal to 5/6.
<h3>How to perform the subtraction between the two mixed numbers?</h3>
A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:
(2 + 1/2) - (1 + 2/3)
We can group the whole numbers and the fractions, so we get:
(2 - 1) + (1/2 - 2/3)
Now we can simplify this so we get:
(2 - 1) + (1/2 - 2/3)
= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6
We conclude that the difference between the mixed numbers is equal to 5/6.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
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