Use the point-slope formula.
y - y_1 = m(x - x_1)
Let m = 3
Let y_1 = 2
Let x_1 = 4
We now plug and chug.
y - 2 = 3(x - 4)
y - 2 = 3x - 12
We now isolate y.
y = 3x - 12 + 2
y = 3x - 10
Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
Answer:
Standard error = 0.34
t-statistic = 11.18
Step-by-step explanation:
Given Data:
Mean difference d = 3.8
Standard deviation S.D = 1.36
Number of people = 16
The appropriate test are:
1. Standard error
2. T- statistic
1. Calculating the standard error using the formula;
Standard error = S.D/√n
= 1.36/√16
= 1.36/4
= 0.34
2. Calculating the t-statistic using the formula;
t-statistic = d/(S.D/√n)
= 3.8/(1.36/√16)
= 3.8/(1.36/4)
= 3.8/0.34
= 11.18
to be a function, each input can have only one output. For these points, each x has only one y, so it it a function. A relation, just describes x to y, so it is both
