To find slope you want to do the rise over the run. First you identify your coordinates which in this case are (0,0) and (2,1). Then you do the rise over the run or in a fraction out the number of how many units you go up (rise) and how many units you go accross (run). So for this slope you would put your rise of 1 over your run of 2 and your answer would be s=1/2 (s stands for slope)
Answer:
x = 9.0
Step-by-step explanation:
3x - 3 = 2x
Add 3 on both sides
3x - 3 + 3 = 2x + 3
3x = 2x + 3
Subtract 2x on both sides
3x - 2x = 2x + 3 - 2x
3x - 2x = 3
x = 3
So, your final answer is x = 3.
Answer:
The correct figure is B.
Step-by-step explanation:
The statement provided is:
"If it is an equilateral triangle, then it is an isosceles triangle"
The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.
Then the contra-positive of the statement provided will be:
- Switching the hypothesis and conclusion:
If it is an isosceles triangle - It is an equilateral triangle.
- Negating both the statements:
If it is not an isosceles triangle - it is not an equilateral triangle.
Thus, the contra-positive of the statement is:
"If it is not an isosceles triangle, then it is not an equilateral triangle."
Thus, the correct figure is B.
Answer:
The correct option is (c) 13.277.
Step-by-step explanation:
The observed data is:
Location Observed sales (units)
Northside 70
Pleasant Township 75
Southwick 70
I-90 50
Venice Avenue 35
TOTAL 300
The test statistic for the Goodness of fit test is:

For <em>k</em> independent samples this test statistic follows a Chi-square distribution with degrees of freedom (<em>k</em> - 1).
The sample size in this case is, <em>k</em> = 5.
The degrees of freedom is, (<em>k</em> - 1) = 4.
The level of significance is, <em>α</em> = 0.01.
The critical value of the test is:

**Use the Chi-square table.
Thus, the critical value is 13.277.