We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.

Similalrly,

Answer: (-6, 8) or x = -6, y = 8
Well three seats in the right with 24 seats means there is 8 rows. I assume the same for the left. So 2x8=16. Sixteen Seats on the left. This is my theory. Though options would be nice.
Answer
2x-9
Step-by-step explanation:
The first thing we must do is subtract both speeds.
We have then:
64.4 km / h - 64.0 km / h = 0.40 km / h
We now change units taking into account the following conversions:
1h = 3600s
1km = 3280.84 feets
We have then:
0.40 * (3280.84 / 3600) = 0.364537778 feet / s
Answer:
a zebra is faster 0.364537778 in feet per second
Answer:
b) 0.2961
c) 0.2251
d) Mean = 11.25, Standard deviation = 1.667
Step-by-step explanation:
We are given the following information:
We treat trucks undergoing a brake inspection passin as a success.
P( trucks undergoing a brake inspection passes the test) = 75% = 0.75
a) Conditions for binomial probability distribution
- There are n independent trial.
- Each trial have a success probability p
- The probability of success is same for all trials.
Then the number of trucks undergoing a brake inspection follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 15
b) P(proportion of groups will between 8 and 10 trucks pass the inspection)
We have to evaluate:
c) P( exactly 3 trucks fail the inspection)
p = 0.25
d) Mean and standard deviation
