Answer:
1. There is sufficient evidence to conclude that listening to soothing sounds increases the mean test score.
Step-by-step explanation:
A p - value less than 0.05 means that the test hypothesis is false or rejected.
In this question the test hypothesis is H 0 : mu=79 which is false as p-value is 0.035.
Whenever the p- value is less than the significance level H0 is rejected.
Hence the null hypothesis is rejected.
Therefore only choice 1 is correct.
There is sufficient evidence to conclude that listening to soothing sounds increases the mean test score.
There is sufficient evidence to support the claim.
Answer:
The slope is 3/2
Step-by-step explanation:
I put both coordinates into MathPapa and it told me that that's the slope
Answer:
24.19
Step-by-step explanation:

or the value of x can be 24.20
What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.



Add 2 to both sides to isolate b.

Which means that -2 = b.
Now that we have the y intercept, we can write the equation of the line, which is
.
Hope this was helpful.
Original Equation: 4x - 2(x+1) = 3x + 10
Step 1: Use Distributive Property
4x - 2x - 2 = 3x + 10
Step 2: Combine Like Terms
2x - 2 = 3x + 10
Step 3: Solve
2x - 2 = 3x + 10
- 2x -2x
--------------------------------
-2 = x + 10
-10 -10
------------------------
-12 = x