Answer:
-1/2
Step-by-step explanation:
One way: Since both sides have absolute value, you could square both sides to get rid of the absolute value. This will result in a possible quadratic given the degrees inside the squares; I can already tell you know in this cases the variable squares will cancel since the coefficient of x on both sides inside the | | are the same.
Expand both sides using: .
Subtract on both sides:
Add on both sides:
Subtract on both sides:
Simplify:
Divide both sides by 64:
Reduce the fraction by dividing top and bottom by :
The solution is -1/2.
Let's check it.
So x=-1/2 does check out.
Another way: This is for all the people who hate quadratics.
We could consider cases. These cases must be checked.
is
Let's solve all four of these and then check the solutions.
2x-7=2x+9
Subtract 2x on both sides:
-7=9 (not possible)
Moving on.
2x-7=-(2x+9)
Distribute:
2x-7=-2x-9
Add 2x on both sides:
4x-7=-9
Add 7 on both sides
4x=-2
Divide both sides by 4:
x=-2/4
Simplify:
x=-1/2
We already checked this from before.
Answer:
Option B: Paired sample t-test, since there is a "before 20 push ups" and "after 20 push up " score for each participant.
Step-by-step explanation:
In this question, we have a case where each participant undergoes different exercises to see differences before and after 20 push ups.
Now, it's obvious that the same condition applies to all participants i.e. differences before and after 20 push ups.
Thus, this will be a case of paired sample t-test or dependent t test because conditions for all participants in both tests are dependent or same.
So, the only option that corresponds with my explanation to use paired sample is option B
Answer
h(x) = 6 * (2/3)^x
Steps:
The graph specifically highlights two points that might interest us in obtaining the equation. They are x=0 and x=1.
For x=0,
h(x) = 6 {obtained from the graph}
h(x) = 6 = a*b^0
Implies, a=6, since anything to the power 0 is 1, therefore b^0 is 1.
For x=1,
h(x) = 4 {obtained from the graph}
h(x) = 4 = 6*b^1 {a substituted by 6}
Implies, 4=6*b, since anything to the power 1 is itself, therefore b^1 is b.
b then is given by 4/6, simplified to 2/3.
Therefore the equation then becomes,
h(x) = 6 * (2/3)^x
Add all the numbers and divide by how many there are.
The mean is 38.9