Answer: x = - 19
y = 55
Step-by-step explanation:
y = - 3x - 2 (1)
5x + 2y = 15 (2)
substitute y = - 3x - 2 into equation (2)
equation (2) becomes
5x + 2 (-3x - 2) = 15
5x + ( - 6x - 4) = 15
opening the bracket
5x - 6x - 4 = 15
collecting like terms
5x - 6x = 15 + 4
-x = 19
x = - 19
substituting x = - 19 into equation 1
y = - 3x - 2
y = - 3 (-19) - 2
y = 57- 2
y = 55
Answer:
- W'(2, 14)
- X'(1, 4)
- Y'(4, 11)
Step-by-step explanation:
To translate 2 left, subtract 2 from every x-value.
To translate 6 up, add 6 to every y-value.
__
W' = W +(-2, 6) = (4-2, 8+6)
W' = (2, 14)
__
X' = X +(-2, 6) = (3-2, -2+6)
X' = (1, 4)
__
Y' = Y +(-2, 6) = (6-2, 5+6)
Y' = (4, 11)
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
<h3>
How to find the probability?</h3>
We know that roughly 75% of the students take the bus, then, if we select a student at random.
- There is a probability of 0.75 that the student takes the bus.
- There is a probability of 0.25 that the student does not take the bus.
The probability that at most 8 out of 9 students take the bus, is equal to one minus the probability of the 9 taking the bus, which is:
p = (0.75)^9 = 0.075
Then we have:
P = 1 - 0.075 = 0.925
The probability that at most 8 of them take the bus to school is 0.925, written in percentage form this is 92.5%
If you want to learn more about probability, you can read:
brainly.com/question/251701
13: 72.25
14: 52
For 14, you need to split the figure into a triangle and rectangle.
