Answer:
233.53 s
Step-by-step explanation:
The sum of best times for the legs is ...
56.81 +59.22 +57.39 +60.11 = 233.53 . . . seconds
Without additional information about the effects of training or the normal variation in times, this is the best prediction we can make.
<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:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem

substitute the given values



step 2
Fin the measure of angle B
we know that
In the right triangle

substitute the given values


step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have


substitute


Answer is $31.25
Step by step
We know mark up is 112%
We know sell price (retail) after markup
We are looking for wholesale (original price)
So 112% of x = $35
1.12x = $35
Divide both sides by 1.12 to isolate x
X= 31.25