Answer:
Step-by-step explanation:
Given
Required
Find m
By comparison:
Add 3 to both sides
In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
<h3><u>Ratios</u></h3>
Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:
A)
- 3 + 1 = 4
- 16 + 4 = 20
- 4 = 20
- 3 = X
- 60 / 4 = X
- 15 = X
- Therefore, as the error would be a difference of 1, the assumption could be mantained.
B)
- 3 + 1 = 4
- 160 + 40 = 200
- 150 = 3:1
- In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
Learn more about ratios in brainly.com/question/1504221
Answer:
D, 1/5.
I used the points 0, 2 and 3, 5 and used the rise over run technique.
Answer:
x = 40
smaller angle is 80
larger angle is 100
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Hence, x + 40 + 3x - 20 = 180
( note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
x + 40 + 3x - 20 = 180
step 1 combine like terms
x + 3x = 4x
40 - 20 = 20
we now have 4x + 20 = 180
step 2 subtract 20 from each side
180 - 20 = 160
we now have 160 = 4x
step 3 divide each side by 4
160 / 4 = 40
4x / 4 = x
we're left with x = 40
we now plug in 40 for x to find the value of each angle
x + 40
* substitute 40 for x *
40 + 40 = 80
3x - 20
* substitute 40 for x *
3 ( 40 ) - 20
3 * 40 = 120
120 - 20 = 20
so the larger angle is 100 degrees and the smaller angle is 80 degrees
I believe the answer is 5.6
Just divide 33.6 by 6
