<u>Explanation:</u>
1. a) Null hypothesis: There is <em>no</em> statistically significant relationship between the mouse grimace scale and the amount of pain felt by mouse.
b) Alternate hypothesis: There is a statistically-significant relationship between the mouse grimace scale and the amount of pain felt by mouse.
2. Yes, because a statistically significant data implies that there is sufficient evidence to believe the study, based on the results of the findings.
3. No, since the variables are different in this case. Here we are dealing with a non-painful solution so there may be no sample correlation as extreme as that found in the original study.
4. Possibly, because every hypothesis is an assumption until it is proven. Thus, in every statistical research, there may be different findings.
Answer:
Step-by-step explanation:
We can write them both like functions like this
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
we replace with the functions
we solve for x
The output that makes the out put of A 3 times teh output of B is
Answer:
(-1 , 1.5)
Step-by-step explanation:
Answer:1,4/5
Step-by-step explanation:https://www.cymath.com/answer?q=5x%5E2%2Bx%3D4
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is

Where,
is the central angle in degrees.
Putting r=10 and
, we get



Therefore, the area of the sector is 12.5π sq. inches.