Answer:
slope: 2.7
y-intercept: (0,8)
Step-by-step explanation:
In the form y = mx + b, m is the slope and b is the y-intercept.
1. What’s the probablity of a second person winning the small prize?
There are now 99 total marbles, and 24 silver marbles. So, 24/99 is 0.24 probability.
2. Which player is most likely to win a big prize?
Since each player draws a silver marble (aka a small prize) there are less small prize marbles in the bag after each turn. So, the first person would have a 5% chance (or 0.05)of winning the big prize gold marble, but the last person would have a slightly bigger chance (5.15% or 0.0515) of winning a big prize.
3. How could the game be made fair for each player?
Well it’s quite simple, just have each player return their marble and the number of marbles would be kept constant, giving everyone an equal chance. Or you could have them all play at the same time, either way.
4. Same answer as 3
Answer:
5, 1, 5, 1.
Step-by-step explanation:
take it one step at a time.
for the first one f(g(1))
first do whats inside of the parenthesis.
> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)
> your new equation is now f(3)
→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.
Answer:
37% of the backyard will not be covered by the water from the sprinkler.
Step-by-step explanation:
The sprinkler is at the centre (0,0). It squirts in a circular motion. The other end of the radius is at (12,16).
First we will calculate the radius of the circle.
Area of the circle = πr^2
= 3.1416*(20)^2
= 3.1416*400
= 1256.64
Area of yard = 40 ft * 50 ft
= 2000
Percent covered by the water = 100*(area of circle/area of yard)
= 100*(1256.64/2000)
= 100*(0.628)
= 62.8%
= 63%
Area not covered by the water = 100 - 63
= 37%
Answer:
Solve equations of the form a x 2 + c = 0 by extracting the roots. Extracting roots involves isolating the square and then applying the square root property. After applying the square root property, you have two linear equations that each can be solved.
Step-by-step explanation:
