Answer:
see below
Step-by-step explanation:
I enter the equation into a graphing calculator and let it do the graphing.
___
If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.
Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).
I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).
Of course, you don't plot any function values for x > 4.
Basket A is 3/16 red.
Basket B is 3/15 red.
The answer is Basket B.
Answer:
Step-by-step explanation:
Given that in a recent poll 1 of 1000 American adults, the number saying that exercise is an important part of daily life was 753.
Sample proportion = 
To find 90% confidence interval we must find std error of proportion first
As per central limit theorem, sample proportion will follow a normal distribution with mean = 0.753
Std error of proportion= 
90% Z critical value = 1.645
Margin of error = 1.645*0.01363 = 0.0224
Confidence interval lower bound = 0.753-0.0224=0.731
Upper bound = 0.775
Answer:
Step-by-step explanation:
While some might feel that online learning is the fun leisurely form of schooling that grants tons of free time, it honestly gets old quick. Being in quarantine makes it all the more worse because you do nothing all day. On the subject of math though, it is a disservice to have to learn math online. Personally, it is my experience that having a physical teacher and classroom to learn with is crucial to ones mathematical ability, but it's not the end of the world, it won't last long and it won't affect you that bad. Sure, the benefits include having more control over your day which is a good source of preparation for college life and responsibilities of being an adult, but you lose daily interpersonal interactions and typical casual daily exercise, since you no longer walk to class. Nevertheless, we will push on.
Answer:
The Depth of the lake had increased by 19%.
Step-by-step explanation:
Given:
Depth of lake few months ago = 1300 ft
depth of lake currently = 1547 ft
We need to find the percent of increase in depth of lake.
Solution:
First we will find the increase in depth of lake.
Increase in depth of lake can be calculated by subtracting Depth of lake few months ago from depth of lake currently.
framing in equation form we get;
increase in depth of lake = 
Now to find the percent of increase in depth of lake we will divide increase in depth of lake from Depth of lake few months ago and then multiply by 100.
framing in equation form we get;
percent of increase in depth of lake = 
Hence the Depth of the lake had increased by 19%.
