Answer:

Step-by-step explanation:
We have been given an equation
. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.
Let us factor our given equation as:

Dividing both sides by 2:

Splitting the middle term:




Using zero product property:



Therefore, the zeros of the given equation are
.
We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.
We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

Therefore, the equation
represents the line of symmetry of the given parabola.
Answer:
60%
Step-by-step explanation:
45 pieces out of 75 pieces are chocolate
45/75
Divide: 45/75 = 0.6
To get percentage from a decimal, move the decimal point to the right two place values
0.6 => 60%
60% of his candy are chocolate
Answer:
The margin of error for a 99% confidence interval for the population mean is 1.8025.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem:

So

The margin of error for a 99% confidence interval for the population mean is 1.8025.
Answer: touches,crosses
Step-by-step explanation:
Answer:
3 < 5
Step-by-step explanation:
3 < 5
We can write this inequality, because three is less than five, and < means less than.