Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
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Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
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Factorize 
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given by
where
Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
=10!/(1!9!)*0.05*0.95^9
=10*0.05*0.0630249
=0.315125 (to 6 places of decimal)
It would be 100. If you divide 100/10, you get 10, multiply that by 9 and you’d get 90.
Answer:
Ok so first you would have to turn them into improper fractions which is
3 
= 
and 4 
= 
So now that you have made them both improper fractions you have to find common denominators.
To find common denominators you must multiply both the numerator and the denominator by the same thing. Since your oposing fraction has a denominator of 5 you can know that a even number wont go in an odd number so take and mutiply both numbers by 2 and get 
. Then mutiply both numbers in by 5 to get a common denominator.
=35 - 44 = -9 so your answer is 
Step-by-step explanation:
