The answer is (((((A ))))))
Hello!
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Answer:
The correct option is d) convenience sample
Step-by-step explanation:
In statistics, we use different sampling techniques to gather a chunk of sample data from a very large population.
There are many sampling techniques and out of them one is convenience sampling.
Convenience Sampling:
The convenience sampling is defined as the sample data which is readily and conveniently available.
Examples:
1. Asking people questions at a place that is convenient for you.
2. Asking your friends or family members
3. A college student asking for student's opinion at the college who is surveying for his thesis.
In the given scenario, Kristen Ashford has list of 5,000 subscribers for Wind Surfing magazine. She chooses the first 100 of the 5,000 names, this is clearly a convenient sample since the sample is easily, readily and conveniently available.
If she had selected 100 names randomly then it would have been called random sampling but in this case, she simply selected the first 100 names for the sake of convenience therefore, it is a convenience sample.
Answer:
Speed of the slower plane = 320 mph
Speed of the faster plane = 450 mph
Step-by-step explanation:
Let the speed of the slower plane = x mph
And the speed of the faster plane = y mph
Difference in their speeds = 130 mph
y - x = 130 --------(1)
Formula for the distance traveled = Speed × time
Distance traveled by the faster plane in 5 hours = 5y miles
Distance traveled by the slower plane in 5 hours = 5x miles
Total distance traveled by both the planes in 5 hours = 5(x + y) miles
5(x + y) = 3850
x + y = 770 ---------(2)
By adding equations (1) and (2)
2y = 900
y = 450 mph
From equation (2)
x = 770 - 450
x = 320 mph
