Answer:
As the height increases, the temperature decreases.
It is decreasing 5°C per kilometer.
At the height 8 km the temperature is 0°.
Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
Answer:
here's the graph
Step-by-step explanation:
Answer:
B) Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.
Step-by-step explanation:
From data of survey we can estimate the proportion of the sample whose favorite pizza is pepperoni. That is 40 (say pepperoni is the favorite) from 150 (total of sample).
Proportion would be that is 27%.
Now we can calculate 27% of total of residents (2,800). We should multiply 27% by 2,800.
which is close to 750.
So we can conclude that yes, 750 is a reasonable estimate because the proportion of the sample whose favorite pizza is pepperoni is about 27%