Im so confused by this question but my only guess would be that since a coin is a 1/2 chance getting it heads twice is 1/2 * 1/2 which is 1/4 so the person who best they can get 2 heads in a row pays 1/4 of the bet being 5 dollars because 1/4 of 20 is 5 and the person who bets that they can't get two heads pays 15 dollars because that is 3/4 of the bet
tldr: 1/4 chance to get heads pays 1/4 of bet 5$
3/4 chance not to get heads pays 3/4 of bet 15$
(5,11) (-5,-1)
Slope = (11 + 1) / (5 + 5)
= 12/10
= 6/5
Answer:
Myron received 40% votes.
Step-by-step explanation:
Myron receives 10 votes from his class of 25 students and we have to calculate the percentage of the vote received.
Now we will use unitary method to calculate the percentage.
∵ Out of 25 students Myron received votes of = 10 students
∴ Out of 1 student Myron received votes = 10/25 students
∴ Out of 100 students Myron received votes = 10×100/25 = 40%
Myron received 40% votes.
Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7
guajiro [1.7K]
I'll do the first one to get you started.
Find the slope of the line between R (6,-2) and S (-1,8) to get
m = (y2-y1)/(x2-x1)
m = (8-(-2))/(-1-6)
m = (8+2)/(-1-6)
m = 10/(-7)
m = -10/7
The slope of line RS is -10/7
Next, we find the slope of line DF
m = (y2 - y1)/(x2 - x1)
m = (4-11)/(11-(-1))
m = (4-11)/(11+1)
m = -7/12
From here, we multiply the two slope values
(slope of RS)*(slope of DF) = (-10/7)*(-7/12)
(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)
(slope of RS)*(slope of DF) = 10/12
(slope of RS)*(slope of DF) = 5/6
Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.
I'll let you do the two other ones. Let me know what you get so I can check your work.
Answer:
A. 3
Step-by-step explanation:
y - 9 = 3(x-2)
y = 3x - 6 + 9
y = 3x + 3
slope is 3x = 3
