Answer:
Step-by-step explanation:
[1] 3x - 4y = -24
[2] -x - 16y = -52
Graphic Representation of the Equations :
-4y + 3x = -24 -16y - x = -52
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -16y + 52
// Plug this in for variable x in equation [1]
[1] 3•(-16y+52) - 4y = -24
[1] - 52y = -180
// Solve equation [1] for the variable y
[1] 52y = 180
[1] y = 45/13
// By now we know this much :
x = -16y+52
y = 45/13
// Use the y value to solve for x
x = -16(45/13)+52 = -44/13
Solution :
{x,y} = {-44/13,45/13}
Answer:
0.1527
Step-by-step explanation:
Given that a researcher wishes to conduct a study of the color preferences of new car buyers.
Suppose that 50% of this population prefers the color red
15 buyers are randomly selected
Let X be the no of buyers who prefer red.
X has exactly two outcomes red or non red.
Also each buyer is independent of the other
Hence X is binomial with p = 0.5 and n = 15
Required prob =The probability that exactly three-fifths of the buyers would prefer red
= P(X=9)
= 
=
1. Commutative property of multiplication
IM SO SORRY IF IM WRONG
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4
One integer is m.
The other integer is n.
n = 23m + 5
mn = 6732
m = 6732/n
n = 23 * 6732/n + 5
n = 154,836/n + 5
n^2 = 154,836 + 5n
n^2 - 5n - 154,836 = 0
n = [5 +- sqrt(25 + 4 * 154,836)]/2
n = (5 +- 787)/2
n = 396 or n = -391
We discard -391 because the problem is looking for positive integers.
mn = 6732
m = 6732/n = 6732/396
m = 17
Answer: The integers are 17 and 396.
