21x + 84 + 12x - 16
33x + 68
The correct answer is 1.) 33x + 68.
Hope this helps!
Answer: 270.29 meters
Step-by-step explanation:
This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.
The length of the path which goes around the garden would therefore be the circumference.
Circumference = π * diameter
Diameter = radius * 2
= 43 * 2
= 86 meters
Circumference = 22/7 * 86
= 270.29 meters
You are given a table in which each row represents the coordinates of points. For example, in the first line, we have x=-7 and y=5. Work through the four given equations, one at a time, subbing -7 for x and 5 for y; is the equation still true? If yes, then you have found the correct answer. B is the exception; I'd suggest you check out equations A, C and D first, before focusing on B.
Example: D: (5)-5 = 2((-7) + 7) leads to 0 = 0. Is that true? If so, D is likely the correct answer.
Answer:
For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:
Null Hypothesis: 
Alternative hypothesis: 
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:
Null Hypothesis: 
Alternative hypothesis: 