Answer: = ![\frac{17}{12}\quad \left(\mathrm{Decimal:\quad }\:1.41666\dots \right)](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B12%7D%5Cquad%20%5Cleft%28%5Cmathrm%7BDecimal%3A%5Cquad%20%7D%5C%3A1.41666%5Cdots%20%5Cright%29)
Step-by-step explanation:
![-\frac{1}{3}+\left|-\frac{7}{4}\right|](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D%2B%5Cleft%7C-%5Cfrac%7B7%7D%7B4%7D%5Cright%7C)
![=-\frac{1}{3}+\frac{7}{4}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B7%7D%7B4%7D)
![=\frac{17}{12}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B17%7D%7B12%7D)
Answer:
The crop yield increased by 9 pounds per acre from year 1 to year 10.
Step-by-step explanation:
To solve this we are using the average rate of change formula:
, where:
is the second point in the function
is the first point in the function
is the function evaluated at the second point
is the function evaluated at the first point
We know that the first point is 1 year and the second point is 10 years, so
and
. Replacing values:
![Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-%2810%29%5E2%2B20%2810%29%2B50-%5B-%281%29%5E2%2B20%281%29%2B50%5D%7D%7B10-1%7D)
![Av=\frac{-100+200+50-[-1+20+50]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-100%2B200%2B50-%5B-1%2B20%2B50%5D%7D%7B9%7D)
![Av=\frac{150-[69]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B150-%5B69%5D%7D%7B9%7D)
![Av=\frac{150-69}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B150-69%7D%7B9%7D)
![Av=\frac{81}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B81%7D%7B9%7D)
![Av=9](https://tex.z-dn.net/?f=Av%3D9)
Since
represents the number of pounds per acre and
the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.
Answer:
Where are the statements? i can't help if none are provided
Step-by-step explanation:
Answer:
if ∠1 = 34°
then:
∠2 = 180 - 34 = 146° because it is supplementary to ∠1 (supplementary angles total 180°)
∠3 = 146° because it is a vertical angle of ∠2
∠4 = 34° because it is a vertical angle of ∠1
Answer:
Step 1: Expected value = -2.53 dollars
He makes - 1,803.89 dollars over 713 of these bets.
Step 2:
Step-by-step explanation:
Expected value of bet = (Winning probability * winning amount) - (losing probability * losing amount)
Winning probability = (13/52) * (12/51) = 0.0588
Losing probability = 1 - 0.0588 = 0.9412
Expected value = (37 * 0.0588) - (5 * 0.9412)
Expected value = -2.53 dollars
If this same bet of expected value -2.53 dollars is made 713 times, our expected losses are:
2.53 * 713 = 1,803.89 dollars
Thus he makes - 1,803.89 dollars over 713 of these bets.