Answer:

or

Step-by-step explanation:
we have

This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert to vertex form
Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side.


Rewrite as perfect squares
----> equation in vertex form
or

The vertex is the point (0.25,10.5)
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So

0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So

0.4 = 40% probability of a tip of up to $50.
Answer:
10/22
10 blue marbles/22 total marbles
(simplified = 5/11)
The answer is 40..........
45x+zy=-c is the anser because of many reasons