150 vehicles had passed Luann.
There are:
=> 6 cars
=> 10 trucks
=> 14 SUV
=> 15 minivans.
How many minivans would we expect to pass out of 150?
=> 6 + 10 + 14 + 15 = 45
=> 15 / 45 = x / 150, where 15 is the number of minivans, and 45 is the total number of vehicles that passed
=> 150 / 45 = 3.333333… repeating decimals
=> 3.333… * 15 = 50
x = 50, there will be 50 minivans that will pass in LUann
Commutative property of multiplication is two numbers being multiplied either way,example 1x2 = 2x1.
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 5 → (1)
5x + 4y = 22 → (2) [ rearranged equation ]
Multiplying (1) by 4 and (2) by 3 and adding will eliminate the term in y
8x - 12y = - 20 → (3)
15x + 12y = 66 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 in either of the 2 equations and evaluate for y
Substituting into (2)
5)2) + 4y = 22
10 + 4y = 22 ( subtract 10 from both sides )
4y = 12 ( divide both sides by 4 )
y = 3
Solution is (2, 3 )
Y = 7/2x + 3 is the slope-intercept form
Answer: 70/1001
Step-by-step explanation:
Choosing 4 boys from total of 8 boys is a combination of 8 when 4 is taken at a time:
8C4 = 8!/4!4!
= 70
Since they are all boys, that means we are choosing 0 girl from the 6 girls.
6C0 = 6!/6!0!
= 1
Choosing 4 students from a total of 6+8=14 students is a combination of 14 when 4 people is taken at a time:
14C4 = 14!/10!4!
= 1001
This will give a probability of:
(70 × 1)/1001
= 70/1001