Answer:
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
Step-by-step explanation:
Given
The above data
Required
Determine the null and alternate hypothesis
When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.
i.e. statements like "equal to", "the same as", etc.
The alternate hypothesis will then contain inequalities or inequality statements
<em>From the list of options, only option (b) is correct.</em>
Answer:
x=13
Step-by-step explanation:
1. divide both sides by 3
2. simplify: 4x-7=45
3. add 7 to both sides
4. 4x=52
5. divide both sides by 4
6. x=13
Multiple both sides by 4 and it will cancel out the 4 on the 27/4 and the 4 in the 1/4 leaving 1x^2=27 then you square root both sides and your final answer will be x=-3 square root 3 AND x=3 square root 3
(5)x19.80=y
(5)x19.80=99
Because the only info given is 19.80 and 5, those are the only definate variables-the total cost is unknown so it is represented by y. To find the total cost, one must multiply the cost of each tickets with how many tickets were bought, represented by (5)x19.80 [the 5 is in parenthesis because it is the independent variable, meaning it changes]. When multiplied together, the equation equals 99, or $99.
The <u>correct answers</u> are:
A) constant
B) straight line
C) linear
Explanation:
The equation y=0.25x+10 is in slope-intercept form, y=mx+b where m is the slope and b is the y-intercept. The slope is the rate of change. The number in our equation that is in place of m is 0.25. This means for every change in x, the graph will go up 0.25. The rate of change is the same throughout the entire function, so this is a constant rate of change.
Since the rate of change is constant, the graph will be a straight line. A constant rate of change means there is the same distance between every two points on the graph; this is only true of a straight line.
Since the graph is a straight line, the function is linear by definition.
