Since division is the opposite of multiplication, you can turn this division problem into a multiplication problem by multiplying the top fraction by the reciprocal of the bottom.
Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
Answer:

Step-by-step explanation:
We can use some logarithmic rules to solve this easily.
<em>Note: Ln means
</em>
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Now, lets start with the equation:

Writing left side with logarithmic base e, we have:

We can now use the property shown below to make this into exponential form:

So, we write:

We recognize another property of exponentials:

So, we write:

Also, another property of natural logarithms is:

Now, we simplify:

This is the answer.
Answer:
square with sides of 6 in
Step-by-step explanation:
Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.
Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.
Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in
Answer:
4
Step-by-step explanation:
g(x) is the graph. g(3) is where the graph has a value of 3 for x.