Answer: 40
Step-by-step explanation:
First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23
Answer: F. Parameter, because the data set of all 2000 students in a high school is a population.
Step-by-step explanation:
Parameters is a variable or measure that is calculated from the entire population of data while a statistic is done from a sample of the data.
The question notes that the poll was done on <u>all 2,000</u> students in a high school. This means that the poll is a Parameter because it was done on the entire population of the high school.
The explanation for this is one of my favorite pieces of mathematical reasoning. First, let's thing about distance; what's the shortest distance between two points? <em>A straight line</em>. If we just drew a straight line between A and B, though, we'd be missing a crucial element of the original problem: we also need to pass through a point on the line (the "river"). Here's where the mathemagic comes in.
If we take the point B and <em>reflect it over the line</em>, creating the point B' (see picture 1), we can draw a line straight from A to B' that passes through a point on the line. Notice the symmetry here; the distance from the intersection point to B' is<em> the same as its distance to B</em>. So, if we reflect that segment back up, we'll have a path to B, and because it came from of the line segment AB', we know that it's <em>the shortest possible distance that includes a point on the line</em>.
If we apply this same process to our picture, we see that the line segment AB' crosses the line 
at the point (1, 1)
Answer:
(x,y) → (x+1 , y+1)
Step-by-step explanation:
Based on the image provided we can assume that every square in the graph represents 1 space. That being said we can create the following rule for this transformation
(x,y) → (x+1 , y+1)
This rule basically states that every point on the original shape needs to be moved 1 space to the right and 1 space upward in order for the translation to be perfect and output the final image shown in the graph.
