The midpoint is (0.5, 1.5)
you use (x2-x1)/2 and you add that number to x1 got x midpoint
and is the same way to find y
Divide the number of people selected by the total number of people.
90/500 = .18
This means that 18% of the customers were selected for the survey.
If the probability is the same on Saturday, then we can multiply the expected customers by our .18
700 x .18 = 126
126 should be selected for the survey on Saturday.
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
2400 because it is only 93 away from 2493 and 2353 is more than 93 away
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
ratio = sqrt (384 / 1057)
ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
(384/1057)^3 = x/1795
x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.
