-3, 0, 1/2, undefined
if it is going down its negative if it goes up its positive
first one you can tell because each one to the right it goes 3 down
2nd is 0 because there is no slope to it, last one is undefined because it cant be all the numbers when x is -4
Answer:
The probability of Jessica picking 3 consecutive red markers is: (1/6)
The probability of Jessica's first marker being red, but not picking 3 consecutive red markers is:
(3/5)−(1/6)=(13/30)
So i am bit stuck here
what i think is it shouldn't be that complex it should be as simple as chance of Jessica's first marker being red=chance of getting red 1 time i.e P(First marker being red)=(6/10) can any explain me the probability of Jessica's first marker being red=(13/30)?
Step-by-step explanation:
There really aren't any steps. It's just a handy fact about Isosceles triangles.
An Isosceles triangle is a triangle that has two sides that are the same length,
and one of the facts about this kind of triangle is that the angles opposite the
two equal sides are equal angles.
In your picture, the two sides of the triangle that have tick marks across them
are equal lengths, and that means that the angles at 'S' and 'U' are equal angles.
In this kind of triangle, those are called the "base angles", even though they
don't necessarily have to be the angles that the triangle stands on. They're
just the two angles that are opposite the two equal sides.
Answer:
we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
Step-by-step explanation:
let the 20% solution = x liters
let the 50% solution = y liters
total solution of the mixture of the two solutions in % = 28%
total solution of the mixture of the two solutions in liters = 75 liters
considering the total solutions given, we will have the following equations if we mix the solutions in equal proportion;
20x + 50y = 28 (75)
0.2x + 0.5y = 0.28(75)
0.2x + 0.5y = 21 -------equation 1
Also,
x + y = 75 ------equation 2
y = 75 - x
(substitute this into equation 1)
0.2x + 0.5(75 - x) = 21
0.2x + 37.5 - 0.5x = 21
0.2x - 0.5x = 21 - 37.5
-0.3x = -16.5
x = -16.5 / -0.3
x = 55 liters
Recall, y = 75 - x
y = 75 -55
y = 20 Liters
Thus, we will mix 55 liters of 20% solution and 20 Liters of 50% solutions.
If order mattered, then there would be 6*5*4*3 = 30*12 = 360 different ways to form the committee. However, no single member outranks the other. Each member has equal ranking. So order does not matter.
Since order does not matter, we must consider all of the ways to arrange a single group of 4 people. That is 4! = 4*3*2*1 = 24 ways. We overcount by a factor of 24 when order doesn't matter which is why we divide the previous result (360) by 24 to get 360/24 = 15
Answer: 15
Note: you can use the combination formula n C r = (n!)/(r!*(n-r)!) with n = 6 and r = 4 to get the same answer
