Answer:
<h2>0.75(3/4) part of the room</h2>
Step-by-step explanation:
Step one:
given data
we can express the given data mathematically as
John can paint 0.5room in 2/3 hours
let the part of the room he can paint in an hour be x
so
if he takes 2/3 hours to paint 0.5 room
then he will take 1 hour to paint x
cross multiply we have
x= 0.5/2/3
x=0.5*3/2
x= 1.5/2
x=0.75 part of the room
75/100= 15/20=3/4 part
The one on the right is correct. please give brainliest.
Put one dot on (0,-2) , (4,0), (-4,-4) connect the dots that is your graph line.
Slope is 1/2 and you is -4
Answer:
slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run.
Step-by-step explanation:
To know the horizontal change between two points you need to know the two points.
Answer:
Percentage of balls which are red = 80%.
Step-by-step explanation:
Let the probability of drawing a red ball be x then the probability of drawing a white ball is 1-x.
There are 5C3 = 10 ways of getting 3 reds in 5 draws so the probability of this is 10* x^3 * (1 - x)^2.
The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.
The first probability is 32 times the last.
So we have the equation:
10x^3(1 - x)^2 / 5x(1 - x)^4 = 32
2x^2 / (1 - x)^2 = 32
2x^2 = 32(1 -x)^2
2x^2 = 32( 1 - 2x + x^2)
2x^2 = 32 - 64x + 32x^2
30x^2 - 64x + 32 = 0
15x^2 - 32x + 16 = 0
(5x - 4)(3x - 4) = 0
x = 0.8, 1.333...
The probability must be < 1 so x = 0.8 = 80%.
