Answer:
5.0
Step-by-step explanation:
1÷2=2.5
1=2.50×2
=5.0
Answer:
<em>(a) 3 inches
</em>
<em>(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches</em>
Step-by-step explanation:
<u>Scaling
</u>
We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.
(a)
Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is
6 feet*1 inch/2 feet = 3 inches
(b)
The width of the model is 5 inches, keeping the same scale it means the real length is
5 inches * 2 feet / 1 inch = 10 feet
The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper
The coefficient of determination can be found using the following formula:
![r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2](https://tex.z-dn.net/?f=r%5E2%3D%5Cmleft%28%5Cfrac%7Bn%28%5Csum%20%5E%7B%7D_%7B%7Dxy%29-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%7D%7B%5Csqrt%5B%5D%7B%28n%5Csum%20%5E%7B%7D_%7B%7Dx%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dx%29%5E2%29%28n%5Csum%20%5E%7B%7D_%7B%7Dy%5E2-%28%5Csum%20%5E%7B%7D_%7B%7Dy%29%5E2%7D%5E%7B%7D%7D%5Cmright%29%5E2)
Using a Statistics calculator or an online tool to work with the data we were given, we get
So the best aproximation of r² is 0.861
54 is 75% of x.
75% of x:
![75 \% \ of \ x=75\% \times x= \frac{75}{100}x=\frac{3}{4}x](https://tex.z-dn.net/?f=75%20%5C%25%20%5C%20of%20%5C%20x%3D75%5C%25%20%5Ctimes%20x%3D%20%5Cfrac%7B75%7D%7B100%7Dx%3D%5Cfrac%7B3%7D%7B4%7Dx)
75% of x is (3/4)x and 75% of x is 54. Set (3/4)x equal to 54:
![\frac{3}{4}x=54 \\ x=54 \times \frac{4}{3} \\ x=\frac{54}{3} \times 4 \\ x=18 \times 4 \\ x=72](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7Dx%3D54%20%5C%5C%0Ax%3D54%20%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%20%5C%5C%0Ax%3D%5Cfrac%7B54%7D%7B3%7D%20%5Ctimes%204%20%5C%5C%0Ax%3D18%20%5Ctimes%204%20%5C%5C%0Ax%3D72)
54 is 75% of
72.
Answer:
The turtle will go 18 miles in 90 minutes.
Step-by-step explanation:
6 divided by 30 = 0.2
0.2 x 90 = 18
18 miles