Answer:
2 1/6
Step-by-step explanation:
2/3+2/4=8/12+6/12=14/12=1 2/12=1 1/6
1 1/6+1=2 1/6
Answer:
Types of Relationships between the Input and Output
The scatter plot can be a useful tool in understanding the type of relationship that exist between the inputs (X’s) and the outputs (Y’s)
Step-by-step explanation:
1. No Relationship: The scatter plot can give an obvious suggestion if the inputs and outputs on the graph are not related. The points will be scattered throughout the graph with no particular pattern. For no relationship to exist, points have to be completely diffused. If some points are in concentration, then maybe a relationship does exist and our analysis has not been able to uncover it.
2. Linear and Non-Linear: A linear correlation exists when all the points are plotted close together. They form a distinct line. On the other hand points could be close together but they could form a relationship which has curves in it. The nature of the relationship has wide ranging implications.
3. Positive and Negative: A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship.
On the other hand a negative relationship is one where more of one input leads to less of another output. This is also known as an inverse relationship.
4. Strong and Weak: The strength of the correlation is tested by how closely the data fits the shape. For instance if all the points are scattered very close together to form a very visible line then the relationship is strongly linear. On the other hand, if the relationship does not so obviously fit the shape then the relationship is weak.
I don't know if this was exactly what you were looking for; hope it is! :)
Answer:
She needs to finish in 48.7 percent of the time it normally takes her
Step-by-step explanation:
6th grade math problem
swim 15 minutes 45 seconds
bike ride 45 minutes
She want to complete the 3 events in 70 minutes
swim + bike + run = 70
15 minutes 45 seconds + 45 minutes + run = 70 minutes
Combine like terms
60 minutes 45 seconds + run = 70 minutes
Subtract 60 minutes 45 seconds from each side
60 minutes 45 seconds - 50 minutes 45 seconds + run = 70 minutes - 60 minutes 45 seconds
run = 9 minutes 15 seconds
Her training run was 19 minutes
The percent of time she needs to take is time to finish / training run time
percent = 9 minutes 15 seconds/ 19 minutes
We need to put this in minutes. There are 60 seconds in 1 minute
9 minutes 15 seconds = 9 minutes 15/60 = 9.25 minutes
percent = 9.25 minutes / 19 minutes
percent = .486842105
percent = 48.7 percent
She needs to finish in 48.7 percent of the time it normally takes her
Answer:
Multiply the first bracket by 3
Multiply the second bracket by -2
3x+3=-2x+2-4
3x+2x+3=-2x-2 negative (-) number and positive number (+)= negative number
Just rearranging
5x+3=-2
5x+3-3=-2-3
5x=-5
Dividing by 5
5x/5=-5/5
x=-1
Check answer by using substitution method
3(-1+1)=-2(-1-1)-4
0=-2(-2)-4 negative number and negative number = positive number
0=4-4
0=0
Answer is x=-1
