Answer:
Step-by-step explanation:
To solve this, we would follow these simple steps. We have
unvrs :
The arithmetic mean, x-bar for the yellow paper group (Y) = 20.6
The arithmetic mean, x-bar for the green paper group (G) = 21.75
Recall that, H0: µY = µG
And from the data we have, we can see that
H0: µY< µG
We proceed to say that the
T-Test-statistic = -0.404
Also, the p-value: 0.349
From our calculations, we can see that the p-value > 0.05, and as such, we conclude that we will not reject H0. This is because there is not enough evidence to show that test that is printed on the yellow paper decreases anxiety at a 0.05 significance level.
y-intercept = 9 → (0, 9)
x-intercept = -7 → (-7, 0)
Look at the picture.
Answer:
24
Step-by-step explanation:
50 minus 26 is 24 so this explains that it is 24 pretty easy not gonna lie
Answer:
- <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>
Explanation:
<u>1. Vertices of triangle FGH:</u>
- F: (-2,1)
- G: (-3,3)
- H: (0,1)
<u>2. Vertices of triangle F'G'H':</u>
- F': (-8,-4)
- G': (-12,-12)
- H': (0, -4)
<u>3. Solution:</u>
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:
- Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)
(0,1) → 4(0,1) = (0,4)
- Rule for a reflection across the x-axis:{ (x,y) → (x, -y)
(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
- Dilation by a scale factor of 4: multiply each coordinate by 4
4(-2,1) → (-8,4)
4(-3,3) → (-12,12)
- Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate
(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>
Sorry i tried to figure it out but i could not seem to get the answer. :(
