Answer:
If the lines are parallel, final form of his solution is
b) -5 = -5+1
Step-by-step explanation:
As the options are not given in the question and the question is incomplete, lets complete the question first.
Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.
a) -5 = -5
b) -5 = -5+1
c) 11 = 11
d) 5 = 5
We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.
From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.
Answer:
28.89 percent
Step-by-step explanation:
45-32 is 13 and 13 is 28.89 percent of 45
Hope this helped!
Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
At the beining, he has 76
that is at x=0
y=mx+76
find m
given
when x=2, y=100
find m
100=2m+76
minus 76 both sides
24=2m
divide both sides by 2
12=m
the equatin is
y=12x+76