Answer:
1. Consistent independent.
2. Coincident
3. Inconsistent.
Step-by-step explanation:
4x + y = 8
x + 3y = 8 Multiply this equation by -4:
-4x - 12y = -32
Adding this to the first equation:
-11y = -24 giving y = -24/-11 = 2.18
Substituting in the first second equation:
x + 3(2.18) = 8 giving x = 1.46.
So this system of equations has roots (1.46, 2.18) and is consistent independent.
2.
-4x + 6y = -2
2x - 3y = 1 Multiply this by -2:
-4x + 6y = -2
So these 2 equations are the same and will give the same graph on the coordinate plane, and so has:
Infinite solutions and is coincident.
3.
5x - 2y = 4
5x - 2y = 6
We can see immediately that this system of equations has NO Solutions.
If we subtract the 2 equations we get:
0 = -2 which is of course, absurd.
Classification Inconsistent.
Answer:
(C) rain droplets
Step-by-step explanation:
um its right
Tom and John are to sit in a row of 6 seats with 4 other people. Number of ways for 6 people to sit if Tom sits to the left of John (but not necessarily directly beside him) is given by N = John on extreme right seat (#6) P(5, 1)*P(4, 4) + John on seat #5 P(4, 1)*P(4, 4) + John on seat #4 P(3, 1)*P(4, 4) + John on seat #3 P(2, 1)*P(4, 4) + John on seat #2 P(1, 1)*P(4, 4) = P(4, 4)[5 + 4 + 3 + 2 + 1] = 24*15 = 360 ANSWER P(4, 4) is the number of ways seating 4 others on remaining 4 seats when John has seated and Tom has seated on his left in P(5, 1), P(4, 1), P(3, 1), P(2, 1), P(1,1) ways.
A. The probability of none of the 7 drivers flashing their lights is (1-0.4)⁷=0.028 approx. So the probability of at least one flashing their lights is 1-0.028=0.972 or 97.2%.
Answer:
C. 7.15 cm
Step-by-step explanation:
step 1
Find the new length of the floor
Remember that
The new length is equal to the original length multiplied by 1.30
so
step 2
Find the length of the floor on the new scale drawing
we have that
The scale drawing is
That means
1 cm in the drawing represent 6 feet in the actual
Multiply the length of the floor in the actual by the scale drawing
so
