Answer:
30 acres of A
0 acres of B
Step-by-step explanation:
On forming the equations we get
Acres = A+B
30 .............(1)
Seed = 5A + 10B
200 ...........(2)
Profit = 160A+50B
Upon rearranging this we get
A= 30-B sing equation (1)
A=40-2B using equation (2)
On plotting these inequalities on the cartesian planes we will get the following points of intersection (0,20) (20,30) (30,0)
Now using these coordinates (A,B) to get Maximum profit
P= $1000 for (0,20)
P=$4700 for (20,30)
P= $4800 for (30,0)
clearly for (30,0) we will get the maximum profit on the crops
-2.
It is in y=mx+b form. And 'b' is the y-inter. -2 is in the 'b' place, therefore, -2 is the y-inter
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Answer:
610 cm
Step-by-step explanation:
78.9 x 100 = 7890 cm 85 x 100 = 8,500 cm
8,500 - 7890 = 610 cm
Answer:
a = 55/6
Step-by-step explanation:
<u>Solving in steps:</u>
- 3/5a = 5 1/2
- 3/5a = 11/2
- a = 11/2 : 3/5
- a = 11/2*5/3
- a = 55/6 or 9 1/6
Answer: C) 0.112
Step-by-step explanation:
In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

Given : The probability of drawing a heart from a standard deck of cards is 0.25
Here , getting heart is the success.
Then p= 0.25
For n= 20
The probability that you will draw a heart seven times i.e. x= 7:

![P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]](https://tex.z-dn.net/?f=P%28X%3D7%29%3D%5Cdfrac%7B20%21%7D%7B7%21%2820-7%29%21%7D%280.25%29%5E7%281-0.25%29%5E%7B20-7%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D%5D)

Hence, the probability that you will draw a heart seven times = 0.112
Thus , the correct answer is C) 0.112 .