ANSWER
The vertex of the graph of

is

EXPLANATION
The vertex form of a parabola is given by

where

is the vertex of the parabola.
The function given to us is

This is already in the vertex form.
When we compare this to the general vertex form, we have,


and

Therefore the vertex of the parabola is

Hence the correct answer is option A.
Answer:
1. 4.66 gallons 2. 2.33 gallons 3. 1.55 gallons
Step-by-step explanation:
1. If her gallons cover is 250 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/250 = 4.66 gallons
2. If her gallons cover is 500 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/500 = 2.33 gallons
3. If her gallons cover is 750 square feet, the number of gallons of paint Lacie would need to cover 1,165.5 square feet of bedroom walls is
1,165.5/750 = 1.55 gallons
Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer:
Experimental probability is likely to be slightly different from theoretical probability.
Step-by-step explanation:
This is because there is a 50-50 chance, but it is unlikely to be exactly 100-100. That is just to hypothesis!
8 3/8 would be the answer because first off you would have to find the 8th of the 1/2 and 1/4. Then after you get all of them then you would add them together which would be 8 3/8.