Answer:The correct option is a)
The upper limit of successes that would be deemed to be usual is 5, so more than 5 successes would be unusual.
Step-by-step explanation:
The mean of a binomial distribution
μ= np where n=10 and p= 0.2 q= 1-p, q= 1-0.2=0.8
μ= 10×0.2=2
σ=√npq
σ=√10×0.2×0.8=1.26
Is unusual for the number of success to be greater than μ + 2.5σ.
= 2+2.5(1.26)
=5 approximately.
So it is unusual for it to be greater than 0.5. The right option Is a)
Answer:
Calculate the sqr of 5 subtract it from 3 and find absolute value
Step-by-step explanation:
Sqr of 5 is 2.23606798
2.23606798 - 3 = -0.76393202
Absolute value of -0.76393202 is 0.76393202
Answer:
The equation of parabola is standard form is 
Step-by-step explanation:
Given equation of parabola is,

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.
First step is to add x on both side of equation.


Rewriting,

Now applying completing square method as follows.
Following are the steps for calculation of this method.
Find the last term of above equation by using below formula,

Now coefficient of y is 8.

Simplifying,


Second step is to add and subtract the last term.

Rewriting,

Since 
Using above formula,

Therefore, the equation of parabola in standard form is 
6x-9
factor 3 out of 6
factor 3 out of -9
Sector 3 - 2x + 3-3
3 X 2 - 3
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<span>(m – 6)(m + 6) is the answer.
If you distribute them, you'll get </span><span>m^2 - 36</span>