Answer:
y= x-4
Step-by-step explanation:
Since we have a point, and the slope, we can use the point slope formula
m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.
We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in
y-1=1(x-5)
Solve for y by isolating it
Distribute the 1
y-1=1*x+ 1*-5
y-1=x-5
Add 1 to both sides
y=x-4
Answer:
12 hours
Step-by-step explanation:
Let Theo's siste can paint a fence in x times
Given.
Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.
Apply cross multiplication
Theo’s sister to paint the fence in 12 hours.
Answer:
The probability is
Step-by-step explanation:
The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.
If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.
In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).
Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :
We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.
The probability is