Answer:
a) 66
b) 45
Step-by-step explanation:
We have 12 horses and after the first race 2 of them have to be eliminated
that condition is equal to consider that 10 horses will be available for the second race.
The number of possiblities we have for the first race is the combination of 12 horses in group of 10
C¹²₁₀ = 12!/ (2!)* (12-2)! = 12*11/2 = 66
For the second race
C¹⁰₈ = 10! / 8! * (10-8)! = 10*9/ 2 = 45
Answer:
132.7
Step-by-step explanation:
Answer:
'Substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'.
Step-by-step explanation:
Kiana wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line q.
This equation is in the slope-intercept form where m is the slope and b is the y-intercept.
First, she finds the slope of line q and the slope of line s to be – 2. Point P is located at (-3,2).
Therefore, the step that can be used to find the y-intercept is 'substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'. (Answer)
D. Multiplication Property
The scatter plot shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
<h3>
What is a scatter plot?</h3>
It should be noted that a scatter plot uses dots to represent values for different numeric variables. In this case, the position of each dot on the horizontal and vertical axis shows the values for an individual data point.
From the complete question, the graph attached shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
In conclusion, scatter plots are used to observe the relationships between variables.
Learn more about scatter plots on:
brainly.com/question/6592115
