Answer:
slope is m
y = mx + b is your standard formula
slope = -3
Step-by-step explanation:
Answer:
a) ![P(](https://tex.z-dn.net/?f=P%28%3C1%29%3D%28HHH%2CHHT%2CHTH%2CTHH%29)
b) ![n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).](https://tex.z-dn.net/?f=n%3D%28HHH%2C%20HHT%2C%20HTH%2C%20HTT%2C%20THH%2C%20THT%2C%20TTH%2C%20TTT%29.)
Step-by-step explanation:
From the question we are told that:
3 coin are tossed
Therefore
Sample space ![n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).](https://tex.z-dn.net/?f=n%3D%28HHH%2C%20HHT%2C%20HTH%2C%20HTT%2C%20THH%2C%20THT%2C%20TTH%2C%20TTT%29.)
Generally the sets that correspond with the result of at most one tail is therefore given as follows
![P(](https://tex.z-dn.net/?f=P%28%3C1%29%3D%28HHH%2CHHT%2CHTH%2CTHH%29)
Therefore
The result is at most one tail when
![P(](https://tex.z-dn.net/?f=P%28%3C1%29%3D%28HHH%2CHHT%2CHTH%2CTHH%29)
Simple, first change the 4.5% into 0.045
Thus,
900=0.045*n
900/0.045=0.045n/0.045
20,000=n
Thus, your answer is 20,000.
Answer:
x = 1.5
y = 3
Step-by-step explanation:
to solve this system of equation using the substitution methods we say let
2x+3y=12................................... equation 1
y=x+1.5..................................... equation 2
substitute equation 2 into equation 1
2x+3y=12................................... equation 1
2x + 3( x + 1.5) = 12
2x + 3x + 4.5 = 12
5x + 4.5 = 12
collect the like terms
5x = 12 - 4.5
5x = 7.5
divide both sides by the coefficient of x which is 5
5x/5 = 7.5/5
x = 1.5
put x = 1.5 into equation 2
y=x+1.5..................................... equation 2
y = 1.5 + 1.5
y = 3
therefore the value of x = 1.5 and y = 3 respectively.
Answer:
r≈4.75
Step-by-step explanation: