Answer:
Lemon juice is acidic and therefore is deemed unsafe to consume this can start to destroy the pancreas and other major arteries if not removed quickly
Step-by-step explanation:
The poverty level cutoff in 1987 to the nearest dollar was $10787.
<h3>
How to find a midpoint?</h3>
The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is:
.
For solving this exercise, first you need plot the points in a chart. See the image.
Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).
![\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\](https://tex.z-dn.net/?f=%5Cmathrm%7BMidpoint%5C%3Aof%5C%3A%7D%5Cleft%281980%2C8429%29%2C%5C%3A%5Cleft%281990%2C13145%29%3A%5Cquad%20%5Cleft%28%5Cfrac%7B1990%2B1980%7D%7B2%7D%2C%5C%3A%5C%3A%5Cfrac%7B13145%2B8429%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%20%5C%5C)
![\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BMidpoint%5C%3Aof%5C%3A%7D%5Cleft%281980%2C8429%29%5C%3A%3D%5Cleft%28%5Cfrac%7B1990%2B1987%7D%7B2%7D%2C%5C%3A%5Cfrac%7B13145%2B3843%7D%7B2%7D%5Cright%29%5C%5C%20%5C%5C%20%3D%5Cleft%28%5Cfrac%7B3977%7D%7B2%7D%2C%5C%3A%5Cfrac%7B21574%7D%7B2%7D%5Cright%29)
![\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)](https://tex.z-dn.net/?f=%5Cmathrm%7BMidpoint%5C%3Aof%5C%3A%7D%5Cleft%281980%2C8429%29%5C%3A%3D%5C%3D%28%5Cfrac%7B3977%7D%7B2%7D%2C10787%29)
The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar was $10787.
Read more about the midpoint segment here:
brainly.com/question/11408596
Answer:
60 on the first day and 80 on the second
Step-by-step explanation:
the first day was lesser than the second day by 20 minutes.
so the second day was more than the first day by 20 minutes.
The mean of the probability distribution is given by the expected value given by
![E(x)=\sum xp(x) \\ \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\ \\ =0.40+0.10+0.06=0.56](https://tex.z-dn.net/?f=E%28x%29%3D%5Csum%20xp%28x%29%20%5C%5C%20%20%5C%5C%20%3D0%280.53%29%2B1%280.40%29%2B2%280.05%29%2B3%280.02%29%20%5C%5C%20%20%5C%5C%20%3D0.40%2B0.10%2B0.06%3D0.56)
The variance of the probability distribution is given by
![Var(x)=(x-\bar{x})^2p(x) \\ \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\ \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\ \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\ \\ =0.166208+0.07744+0.10368+0.119072=0.4664](https://tex.z-dn.net/?f=Var%28x%29%3D%28x-%5Cbar%7Bx%7D%29%5E2p%28x%29%20%5C%5C%20%20%5C%5C%20%3D%280-0.56%29%5E2%280.53%29%2B%281-0.56%29%5E2%280.40%29%2B%282-0.56%29%5E2%280.05%29%5C%5C%2B%283-0.56%29%5E2%280.02%29%20%5C%5C%20%20%5C%5C%20%3D%28-0.56%29%5E2%280.53%29%2B0.44%5E2%280.40%29%2B1.44%5E2%280.05%29%2B2.44%5E2%280.02%29%20%5C%5C%20%20%5C%5C%20%3D0.3136%280.53%29%2B0.1936%280.40%29%2B2.0736%280.05%29%2B5.9536%280.02%29%20%5C%5C%20%20%5C%5C%20%3D0.166208%2B0.07744%2B0.10368%2B0.119072%3D0.4664)
The standard deviation is given by
Well, for taxi A we have:
Cost of Taxi A = $ 0.20*X + $4
With "X" equal to "miles traveled".
For taxi B we have:
Cost of Taxi B = $ 0.40*X + $2
Then, when
Cost of Taxi B > Cost of Taxi A,
We Have:
$ 0.40*X + $2 > $ 0.20*X + $4
That is the inequality that you need!
Good luck!
M.