Equation:
y - 10 = -5x
Solve:
(y - 10) + 10 = (-5x) + 10
y = -5x + 10
Remember the formula (Slope Intercept Form):
y = mx + b
m = Slope (Rise/Run)
b = Y-intercept
So your graph would look something like the attached image:
<em>(Need further elaboration? Let me know!)</em>
Answer:
2, 3, 5, 7
Step-by-step explanation:
prime numbers between 1 to 10 are 2,3,5,7. it's very easy. 1 is not prime number because it behave as both prime and composite.
Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
Answer:
The standard error of the mean is 0.0783.
Step-by-step explanation:
The Central Limit Theorem helps us find the standard error of the mean:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, a large sample size can be approximated to a normal distribution with mean and standard deviation 
.
The standard deviation of the sample is the same as the standard error of the mean. So
In this problem, we have that:
So
The standard error of the mean is 0.0783.
Answer:
7
Step-by-step explanation:
Substitute x = -4 :
f(-4) = 3 - (-4)
= 3 + 4
= 7
