We know that the equation of a line is given by
To find it we need the slope m and a point that the line passes thorugh. In this case we have the point (8,10) but we don't know the slope. What we know is that the line we are looking for is parallel to the line
We also know that for two lines to be parallel they have the same slope. Then, if we fin the slope of the line y=2x-5, we have the slope of the line we are looking for. To find the slope of the line y=2x-5 we note that it is written in the slope-intercept form
From this we know that the slope is multiplying the x variable when it is written in that form. Hence m=2.
Then the line we are looking for has an slope of 2 and passes through the point (8,10). Pluggin the values in the equation of a line we have.
Writting it in the slope intercept form we have
Then the line parallel to y=2x-5 and passes through the point (8,10) is
Answer:
1.25
Step-by-step explanation:
he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.
Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.
Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.
yes probabilites can be used to make fair ones
thanx
heya
Answer:
The probability of success is .12
The probability of failure is .88
According to the binomial theorem the probability of 3 success is
10! / (3! * 7!) * .12^3 * .88^7 = .085
Answer:
Step-by-step explanation:
(ab + bc)(ab + bc)
Simplifying
(ab + bc)(ab + bc)
Multiply (ab + bc) * (ab + bc)
(ab(ab + bc) + bc(ab + bc))
((ab * ab + bc * ab) + bc(ab + bc))
Reorder the terms:
((ab2c + a2b2) + bc(ab + bc))
((ab2c + a2b2) + bc(ab + bc))
(ab2c + a2b2 + (ab * bc + bc * bc))
(ab2c + a2b2 + (ab2c + b2c2))
Reorder the terms:
(ab2c + ab2c + a2b2 + b2c2)
Combine like terms: ab2c + ab2c = 2ab2c
(2ab2c + a2b2 + b2c2)
