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:
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Answer:
Step-by-step explanation:
-10 since +5-15 =-10 so 2
Answer: Heyaa!~
<em> - Write 63 as the product of prime factors -</em>
- Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.
<em> - Write the prime factors in ascending order -</em>
- <em> </em> I think it would be 3/7
- <em> what's the highest common factor of 63 and 105 -</em>
- <em> </em> 21, divides both 63 and 105, i.e., 21.
Hopefully this helps you! ^^^
Answer:
Yes
Step-by-step explanation:
Answer:
i) Mean = 1933.1817
ii) Range = 5684
iii) Third quartile = 6054
Step-by-step explanation:
Given data :
currency exchange rate : 1 AUD = 5.8 HKD
cost of each ounce = 2 AUD
Fixed shipping cost for each carton = 80 HKD
number of cartons = 20
next determine the total cost of the 20 cartons in HKD
= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost
= ∑ ( 160*2*5.8 + 80 ) + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )
= 81756 HKD
<u>i) find the mean value ( X ) </u>
= Total cost / number of cartons
= 81756 / 20 = 4087.8
ii) Find the standard deviation
= note: std = √∑(xi-X )^2 / (n-1)
= 1933.1817
<u>iii) Find the range </u>
Range = highest cost - lowest cost ( values gotten from equation 1 )
= 7650 - 1936
= 5684
<u>iv) Determine the third quartile </u>
third quartile = 6054
<em>attached below is the detailed solution</em>