<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:
L=29ft
W=15ft
Step-by-step explanation:
Step one:
given
let the width be x
W=x
L= x+14
P= 88ft
perimeter= 2L+2W
so, substituting our data we have
88=2(x+14)+2x
88=2x+28+2x
collect like terms
88=4x+28
88-28=4x
60=4x
divide both sides by 4
x=60/4
x=15
Step two:
the dimensions are
the width is 15ft
the length= 15+14
L=29ft
Area 1st rectangle = 10 * 7 = 70 cm^2
length of 2nd rectangle is 2*7 = 14 cm
Area 2nd = 10 * 14 = 140 cm^2
140/70 = 2
The 2nd triangle was twice as big as the 1st. Answer A
Complete the square to solve the equation below. *
x2 – 8x + 10 = 0
9514 1404 393
Answer:
12 cm
Step-by-step explanation:
The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.
The chords are 12 cm from the center.
_____
You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...
c² + d² = r²
16² + d² = 20²
d² = 400 -256 = 144
d = √144 = 12 . . . . . cm