Given parameters:
Net worth of Cesar = 8250.63
Liabilities = 3222.35
Unknown:
Cesar's asset = ?
Solution:
A person's net worth is their Assets minus liability;
Net worth = Assets - Liabilities
Assets = Net worth + Liabilities
For Cesar;
Assets = 8250.63 + 3222.35 = 11472.98
Cesar's assets is 11472.98
Answer:
Step-by-step explanation:
The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.
J = 22x + 10
G = 28x + 0
In these equations the variable x represents the number of hours each of the bicyclists have biked.
Answer:
a) The mean of the probability distribution = 0.6
b) The variance of the probability distribution = 0.3
c) The standard deviation of the probability distribution = 0.5
Step-by-step explanation:
a) Data and Calculations:
number of dogs per household in a small town
Dogs Probability Expected Mean Diff Mean Diff.
Value Squared
0 0.650 0 -0.569 0.32376
1 0.216 0.216 -0.353 0.12461
2 0.087 0.174 -0.395 0.15603
3 0.026 0.078 -0.491 0.24108
4 0.014 0.056 -0.513 0.26317
5 0.009 0.045 -0.524 0.27458
The mean = 0.569 (Sum of expected value)
Variance = mean of squared differences = 0.27665 (1.38323/5)
Standard deviation = square root of variance = 0.526 = 0.5
If you know the rules, you don't actually have to graph these to check if they're perpendicular, parallel, or neither.
parallel slopes are the same
perpendicular slopes are the opposite reciprocals
"neither" slopes fall into neither category
you should still follow directions and graph them if your teacher expects it, but with that knowledge:
13. y = 4x+7 and y = (-1/4)x-3
the slopes here, 4 and -1/4, are opposite reciprocals, so these lines are perpendicular
14. y = 3x-4 and y = 3x+1
the slopes here, 3 and 3, are the same, so these lines are parallel
15. y = x+5 and y = -5x-1
the slopes here, 1 and -5, have no relation in this case, so these lines are neither
