The binomial distribution is given by,
P(X=x) =
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =
+
+
+
+
+
+
Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.
The first thing we are going to do for this case is to define the following variable:
x = number of trees.
We then have that the equation that represents the problem is given by:
y = 50 (x-1) + 20
Rewriting:
y = 50x - 50 + 20
y = 50x - 30
Substituting for y = 390 we have:
390 = 50x - 30
We clear x:
x = (390 + 30) / (50)
x = 8.4
nearest whole integer
x = 8
Answer:
will be planted along one block about 8 trees.
Answer:
y intercept is 420
Step-by-step explanation:
10x-4 + 8x+3 + 91 = 180
18x + 90 = 180
18x = 180 - 90
18x = 90
x = 90/18
x = 5
Answer:
no solution
Step-by-step explanation:
Hi there!
We are given this system of equations:
y=-2x+5
y=-2x+20
and we want to find the solution (the point in which the lines intersect)
There are 3 ways to solve a system, but let's use substitution in this case
Both equations are set to y, so they should be equal to each other via a property known as transitivity (if a=b and b=c, then a=c)
-2x+5=-2x+20 (the same as y=y)
Now let's solve for x
add 2x to both sides
5=20
In this case, we got an untrue statement. If this happens, then the lines won't intersect.
If they won't intersect, there's <u>no solution </u>
Hope this helps!
