Answer:
- x-axis: (x, y) ⇒ (x, -y)
- y-axis: (x, y) ⇒ (-x, y)
- y = x: (x, y) ⇒ (y, x)
- y = -x: (x, y) ⇒ (-y, -x)
Step-by-step explanation:
The attached diagram may be helpful. In the diagram, each reflected point is connected to the original by a line segment perpendicular to the line of reflection.
<u>Reflection across the x-axis</u>
(3, 1) ⇒ (3, -1)
(x, y) ⇒ (x, -y)
<u>Reflection across the y-axis</u>
(3, 1) ⇒ (-3, 1)
(x, y) ⇒ (-x, y)
<u>Reflection across y = x</u>
(3, 1) ⇒ (1, 3)
(x, y) ⇒ (y, x)
<u>Reflection across y = -x</u>
(3, 1) ⇒ (-1, -3)
(x, y) ⇒ (-y, -x)
-7 is losing the fewest as it is the smallest number, and the number that is to the left of the number line.
Answer:
Confidence interval estimate of the mean weight of plastic discarded by all households is : (1.561 , 2.261)
Step-by-step explanation:
Sample size, n = 62
Now the Confidence interval is : Mean ± Margin of Error
= (1.911 - 0.35 , 1.911 + 0.35)
= (1.561 , 2.261)
Hence, Confidence interval estimate of the mean weight of plastic discarded by all households is : (1.561 , 2.261)
Answer:
42 minutes
Step-by-step explanation:
there are 60 minutes in one hour.
from 12 pm, 1 hour and 35 minutes have passed to get to 1:35 pm
from 12 pm, 2 hours and 17 minutes have passed to get to 2:17 pm
we are trying to figure out the start to end time, or the difference between the times
2 hours and 17 minutes - 1 hour and 35 minutes
1 hour = 60 minutes
if we convert everything to minutes we can get a definitive time in one single unit
2 hours = 1 hour * 2 = 60 minutes * 2 = 120 minutes
1 hour = 60 minutes
plug these in
(120 + 17) minutes - (60 + 35) minutes
= 137 minutes - 95 minutes
= 42 minutes as our answer
Hi! :)
So since you're trying to find
of 12, you would just need to divide 12 by 3. The answer to this would be that 4 of the cookies were peanut butter.
Hope this helps!