It is false or 8/9 is equal to 1
Option third is correct enlarged by a factor of 4 because the distance between two dots is 1.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a star showing in the picture.
We are considering the small star as the original image.
And the big star is the pre-image.
As we know,
The scale factor =
(length of the big star in the x-direction from the origin)/(length of the small star in the x-direction from the origin)
The distance between two dots is 1.
Scale factor = 8/3
As the scale factor is greater than 1 it means the image will be enlarged.
Thus, option third is correct, enlarged by a factor of 4 because the distance between two dots is 1.
Learn more about the geometric transformation here:
brainly.com/question/16156895
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Answer:
The correct option is 1.
Step-by-step explanation:
The total number of patient is 80 and out of these patients 9 patients had their teeth whitened.
The confidence interval is 95%.
The probability of patient had teeth whitened is
![p=\frac{9}{80}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B9%7D%7B80%7D)
The z-score for 95% confidence interval is 1.96.
The confidence limit is defined as
![E=p\pm \sqrt{\frac{p(1-p)}{n}}\times z*](https://tex.z-dn.net/?f=E%3Dp%5Cpm%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5Ctimes%20z%2A)
![E=0.1125\pm \sqrt{\frac{0.1125(1-0.1125)}{80}}\times 1.96](https://tex.z-dn.net/?f=E%3D0.1125%5Cpm%20%5Csqrt%7B%5Cfrac%7B0.1125%281-0.1125%29%7D%7B80%7D%7D%5Ctimes%201.96)
![E=0.043,0.182](https://tex.z-dn.net/?f=E%3D0.043%2C0.182)
These values are in percent.
![[0.043\times 100,0.182\times 100]](https://tex.z-dn.net/?f=%5B0.043%5Ctimes%20100%2C0.182%5Ctimes%20100%5D)
![[4.3,18.2]](https://tex.z-dn.net/?f=%5B4.3%2C18.2%5D)
Therefore option 1 is correct.
<u>Answer:</u>
<em>(2•7a5)</em>
<u>Step-by-step explanation:</u>
<em>Step 1 :</em>
<em>Equation at the end of step 1 :</em>
<em> -2a • (0 - 7a4)</em>
<em>Step 2 :</em>
<em>Multiplying exponential expressions :</em>
<em> 2.1 a1 multiplied by a4 = a(1 + 4) = a5</em>
Answer:
a) 2a + 3c = $44.50
a + 2c + $25.50
b) $19
Step-by-step explanation:
Simultaneous equations. A = adult. C = children
2a + 3c = $44.50 (EQUATION 1)
a + 2c = $25.50 (EQUATION 2)
Now solve this using the method of elimination:
2a + 3c = $44.50 (EQUATION 1)
a + 2c = $25.50 (EQUATION 2)
Multiply equation 2 by 2 so that both equations have the same a coefficient.
2a + 4c = $51 (NEW EQUATION 2)
Now subtract equation 1 from equation 2:
2a - 2a + 4c - 3c = $51 - $44.50 (2a cancels out)
c = $6.50
Now substitute c into one of the equation, in this case, I'm using original equation 2.
a + 2($6.50) = $25.50
a + $13 = $25.50
a = $12.50
Total cost of one adult and child = $6.50 + $12.50
= $19