<u>Answer:</u>
Heather = 18 messages
Brian = 25 messages
Austin = 54 messages
<u>Step-by-step explanation:</u>
We know that Heather, Brian, and Austin sent a total of 97 messages.
Assuming the number of messages sent by Brian as x, we can say that Heather sent x-7 messages (7 fewer messages than Brian) and Austin sent 3(x-7) messages (3 times as many as Heather).

So Brian sent (x) messages = 25 messages,
Heather sent (x-7) messages = 25 - 7 = 18 messages; and
Austin sent 3(x-7) messages = 3(25-7) = 54 messages
Answer:
Distribution is slightly right-skewed
Step-by-step explanation:
The distribution of daily coffee consumption in the sample is slightly right-skewed as can be shown in figure attached.
Answer:

Step-by-step explanation:
A linear function is always a one-to-one function.
Switch y and x.
x = -8y + 1
-1/8x + 1/8 = f(x)
Use the slope formula
(y₂ - y₁)/(x₂ - x₁)
Let (0,2) = (x₁, y₁)
Let (3,0) = (x₂, y₂)
Plug into corresponding variables
(0 - 2)/(3 - 0) = -2/3
-2/3 is the slope of the line given
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To find the perpendicular line, flip the slope around and change the sign.
-2/3 becomes 3/2
The perpendicular line's slope is 3/2
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hope this helps