Hey there!
Let's start by solving for x.
Take the first equation, y = -3x - 7, and substitute in the second equation, y = x + 9, for y.
We now have:
x + 9 = -3x - 7
Add 3x to both sides.
4x + 9 = -7
Subtract 9 from both sides.
4x = -16
Divide each side by 4.
x = -4
Let's use the second equation, y = x + 9, to solve for x.
Put in the value we just solved for.
We now have:
y = -4 + 9
Simplify.
y = 5
Let's check our answer, starting with the first equation, y = -3x - 7.
Put in the values for x and y.
5 = -3(-4) - 7
5 = 12 - 7
5 = 5
Do the same with the second equation, y = x + 9.
5 = -4 + 9
5 = 5
The solution to the system of equations is (5, -4).
Hope this helps!
0.005 kilometers
500 centimeters
5,000 millimeters
Answer:
By the Chebyshev Theorem, 75% probability of a randomly selected state having between 21 and 53 multi-million dollars
Step-by-step explanation:
We have no information about the distribution, so we use the Chebyshev's theorem to solve this question.
Chebyshev Theorem:
75% of the data within 2 standard deviations of the mean.
89% of the data within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37
Standard deviation = 8
What is the probability of a randomly selected state having between 21 and 53 multi-million dollars
21 = 37 - 2*8
So 21 is 2 standard deviations below the mean.
53 = 37 + 2*8
So 52 is 2 standard deviations above the mean.
By the Chebyshev Theorem, 75% probability of a randomly selected state having between 21 and 53 multi-million dollars
Answer:
<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>
Step-by-step explanation: