Let X be the number of tail when a coin is flipped n number of times. Let n is the number of times a coin is flipped. Let p be the probability of getting tail on any flip of coin.
Here as coin is fair coin the chance of getting head or tail at any flip is 1/2.
n=75, p =0.5
From given information X follows Binomial distribution with n=75 and p=0.5
The probability that getting tail 35 or fewer times is
P(X ≤ 35) = P(X=35) + P(X=34) + P(X=33) + ....+ P(X=2) + P(x=1)
The Binomial probability is calculated using probability function
For given parameters n=75 and p=0.5 the probability of getting X=k is
Using excel function to find cumulative binomial probability for x=1 to 35 is
=BINOM.DIST(35,75,0.5,1) = 0.322
The probability there will be 35 or fewer tails is 0.322
The percentage of getting 35 or fewer tails is 32.2%
Use the poin-slope form of the equation of a line:-
y - y1 = m(x - x1) (where m = slope and the point is (x1, y1))
Plugging in the given values:-
y - 6 = 2/5(x - 10)
multiplying through by 5:-
5y - 30 = 2(x - 10)
5y - 30 = 2x - 20
5y = 2x + 10
In standard form the equation is
2x - 5y = -10 (answer)
Answer fast? What?
x + 2y = 17...Equation A
8x + 3y = 45...Equation B
Solve A for x.
x = 17 - 2y
Plug this into B to solve for y.
8(17 - 2y) + 3y = 45
136 - 16y + 3y = 45
136 - 13y = 45
-13y = 45 - 136
-13y = -91
y = -91/-13
y = 91/13
y = 7
To find y, plug x = 7 into either equation to find x.
I will use Equation A.
x + 2y = 17
x + 2(7) = 17
x + 14 = 17
x = 17 - 14
x = 3
Answer: x = 3, y = 7
Answer:
(15+3d)/6 = c
2 1/2 + 1/2d = c (more simplified)
Step-by-step explanation:
15 = -3(2c +d)
15 = -6c -3d
+3d +3d
15 +3d = -6c
/-6 /-6
(15+3d)/6 = c
2 1/2 + 1/2d = c