Answer:
16sqrt(3) units²
Step-by-step explanation:
This shape consists of 6 congruent triangles
Each angle = (6-2)×180/6 = 120
These are 6 equilateral triangles
6(½ × 8 × 8 × sin(60)) = 16sqrt(3) units²
Answer:
The answer is y < 2x -3
Step-by-step explanation:
You can read this as all values on the graph will be the value of x times 2 minus 3..
For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..
To actually find the answer you can graph each equation until you find it or do it this way:
1) Find the slope and determine if it it works for the given graph.
We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).
2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.
The y intercept is D) 4 because that is where the Y would be on the Y axis
Answer: 1.460
Step-by-step explanation:
Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.
Let 
represents the population mean .
Then, the set of hypothesis will be:-
We assume that this is normal distribution.
Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean for small sample is given by :-
Hence , the value of test statistic = 1.460
