Answer:

Step-by-step explanation:
Given
x² + 3x = 6
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(
)x + (
)² = 6 + (
)²
The number added to both sides is (
)² = 
Answer: all the zeroes of the above equation will be
(x-4)(x+4)(x-2)(x+2)
Step-by-step explanation:
Since we have given that

We need to find the zeroes of the above equation.
So, we will use "Split the middle terms" :

So, all the zeroes of the above equation will be
(x-4)(x+4)(x-2)(x+2)
Answer:
And we can find this probability using the normal standard distribution or excel and we got:
Step-by-step explanation:
For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places.
"
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution or excel and we got:
Answer:
25 Students attended and 50 teachers and their family members attended
Step-by-step explanation:
50x30=1500
25x12=300
1500+300=1800
Hope this helped :)