Answer:
No solutions
Step-by-step explanation:
In this question, you would be solving for x.
Solve:
5 + 2(3 + 2x) = x + 3(x + 1)
Use the distributive property.
5 + 6 + 4x = x + 3x + 3
Combine like terms.
11 + 4x = 4x + 3
Subtract 4x from both sides.
11 = 3
Since we don't have an "x value", there are no solutions.
"No solutions" would be your answer.
Answer:
a)
b) r =-0.932
The % of variation is given by the determination coefficient given by
and on this case
, so then the % of variation explained by the linear model is 86.87%.
Step-by-step explanation:
Assuming the following dataset:
Monthly Sales (Y) Interest Rate (X)
22 9.2
20 7.6
10 10.4
45 5.3
Part a
And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:
Where:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Part b
For this case we need to calculate the correlation coefficient given by:
So then the correlation coefficient would be r =-0.932
The % of variation is given by the determination coefficient given by
and on this case
, so then the % of variation explained by the linear model is 86.87%.
Just substitute the value of x from second equation into first equation:
N = x + y - n = 5
N = u + v + y - n = 5
N = 0 + y - n = 5
In short, N would be equal to y - n which is still equal to 5
Hope this helps!
Answer:
The container is filled to 87.5% of the maximum capacity.
Step-by-step explanation:
Given
Maximum capacity of container = m = 64 ounces
Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces
The container is 56 ounces full.
To find the percentage:

Hence,
The container is filled to 87.5% of the maximum capacity.
Set up fractions and solve them