Answer:
The point will be on the line.
Step-by-step explanation:
2x-3y=6
3y=2x-6
y=2/3x-2
Slope = 2/3
Therefore B
Answer:
1/4
Step-by-step explanation:
Let the fraction be x/y
(x + 1)/y = 1/2
x/(y - 1) = 1/3 Cross multiply both equations.
====================
2*(x + 1) = y Remove the brackets
2x + 2 = y
################
3x = y - 1 Add 1 to both sides.
3x + 1=y - 1+ 1
3x + 1 = y
#################
Equate both ys
3x + 1 = 2x + 2 Subtract 1 from both sides.
3x + 1-1 = 2x + 2 -1
3x = 2x + 1 Subtract 2x from both sides.
3x-2x = 2x-2x +1 Simplify
x = 1
==================
y = 3x + 1
y = 3(1) + 1
y = 3 + 1
y = 4
The original fraction was 1/4
The required probability is 0.171.
What is probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We can find required Probability as shown:
From 10 coins we choose 7 he guessed correct with probability of each 1/2. For three remaining coins he failed to predict the outcomes of the flip with the probability of 1/2 for each. Similarly for 8,9 or 10 successive trials. Let X denote number of successive trials




=0.171
Hence, the required probability is 0.171.
Learn more about Probability here:
brainly.com/question/6649771
#SPJ4
Given question is incomplete. This is complete question:
A man claims to have extrasensory perception. As a test, a fair coin is flipped 10 times and the man is asked to predict the outcome in advance. He gets 7 out of 10 correct. What is the probability that he would have done at least this well if he had no ESP?