Answer:
The difference is <em>2 inches</em>
Step-by-step explanation:
Firstly, we identify the equation as given in the question;
y = 1.42105x - 32.2632
We need to know which of the two is the dependent variable i.e y-value and which is the independent variable x-value between the brothers' heights and the sisters' heights. To do this, we have to start with an assumption and check which of the two is for the brothers' or for the sisters,
Let's say the brothers' heights is x, we select any of the data points; (68,64)
we input this into the line of best fit equation; 64 =1.42105(68) - 32.2632 = 96.6314-32.2632= 64.3682
We can see the value on the left hand side of the equation correlates with that on the right hand side. This confirms our assumption that the brothers' heights refer to the independent variable x.
Now, let's plug the values for the 71 inches heights
y = 1.42105(71) - 32.2632 = 68.63 approximately 64
In the table, we can see that the predict sister height at that particular data point is 71 inches. The difference between the predicted height and the actual height is thus 71-69 = 2 inches
Step-by-step explanation:
See attached picture.
First, compare the highest term of the dividend (x²) to the highest term of the divisor (x). We need to multiply the divisor by x.
When we do that, we get x² + 5x. Subtracting this from the dividend, we get -9x + 11.
Now repeat the process. Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x). We need to multiply by -9.
When we do that, we get -9x − 45. When we subtract from the new dividend, we get 56.
So the quotient is x − 9, and the remainder is 56.
Answer:
9
Step-by-step explanation:
20 x 5 = 100
45/5 = 9
9 to 20 = 11
45 to 100 = 55
<u>55</u> = 5<--- Linear
11
(since the total answer is linear, the answer is right)
Answer:
104, 106
Step-by-step explanation:
Hello!
A consecutive number is a number that comes after the other.
Let the first even integer be x. Since there is an even integer for every two integers, the second number should be x + 2.
<h3>Solve for x</h3>
- (x) + (x + 2) = 210
- x + x + 2 = 210
- 2x + 2 = 210
- 2x = 208
- x = 104
The second number is x + 2, so it would be 106.
