Answer:
m = 3/100
Step-by-step explanation:
211m + 16 = 4 + 611m
211m - 611m = 4 - 16
-400m = -12
m = -12/-400
m = 3/100
Answer:
4.results should be reported with some measure that represent how convinced we are that our conclusion reflect reality
Step-by-step explanation:
Certainly statistics deals with organization, evaluation and data conclusions. But the data is always obtained from representative samples of certain universes for that reason those results must be associated with the degree of confidence
The surface area of a sphere is 4r^2pi, so dividing 100 by 4pi gives a result of 25/pi. Taking the square root and rationalizing the denominator, we have 5sqrt(pi)/pi as the radius of the sphere.
Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem = 
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b = 
b = 
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.
Answer:
x=-2
Step-by-step explanation:
You can substitute the first equation into the second:
-3x+3=5x+19
Add 3x on both sides:
3=8x+19
Subtract 19 on both sides:
-16=8x
Divide 8 on both sides:
x=-2