Answer:
Step-by-step explanation:
You have the domain. It is given as -1≤x≤1
Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.
Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0
I've included a graph so you can see how this all works.
So the range = 1 ≤ y ≤ 3
Answer: The p-value is 0.154.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis :

Alternate hypothesis :

Population mean = 20 hours
Sample mean = 18.5 hours
Sample standard deviation = 4.3 hours
Sample size n = 35
So, test statistic would be

So, the p value would be 0.154.
Hence, the p-value is 0.154.
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:




For 90 degrees counterclockwise rotation, the rule is:

So, we have:




For 180 degrees rotation, the rule is:

So, we have:




For 270 degrees counter rotation, the rule is:

So, we have:




See attachment for the image of each rotation
Read more about rotations at:
brainly.com/question/1571997
The sum of angles in triangle is equal to 180 degrees, so
<R =180-56-30
<R=94
Answer:
168 miles
Step-by-step explanation:
If he uses 5 gallons to drive 140 miles, that means that he can drive 24 miles for every gallon (140/5=24)
7 times 24 is 168 so he can drive 168 miles on 7 gallons of gas