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storchak [24]
2 years ago
8

Point Farmer Ed has 60 feet of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not f

ence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?​
Mathematics
1 answer:
miskamm [114]2 years ago
7 0

Answer:

Farmer Ed has 60 feet of fencing; and wants to enclose rectangular plot that borders on river: If Farmer Ed does not fence the side along the river; find the length and width of the plot that will maximize the area_ What is the largest area that can be enclosed? What width will maximize the area? The width, labeled x in the figure. (Type an integer or decimal ) What length will maximize the area? The length, labeled in the figure, is (Type an integer or decimal ) What is the largest area that can be enclosed? The largest area that can be enclosed is (Type an integer or decimal.)

You have 120 feet of fencing to enclose a rectangular plot that borders on a river.

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A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for
MAXImum [283]

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y =  number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

8 0
2 years ago
According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s
BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

  • a distribution is said be a binomial distribution iff
  1. The probability of success of that event( let it be p) is same for every trial
  2. each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
  3. there are fixed number of trials (n)
  4. the trials are independent
  • here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)
  • here n=250
  • the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

  • \mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5

[since, the formula for \mu _{p} =n*p ]

  • \sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

  • therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

4 0
3 years ago
If U.S. Treasury bills are earning 4 percent and the stock investment you are considering has a potential return of 10 percent,
erica [24]

Answer:

Option "D" is the correct answer to the following question.

Step-by-step explanation:

Given:

Return on U.S.Treasury bills = 4%

Potential return on stock investment = 10%

Find:

Additional risk of investing in the stock (Risk premium) = ?

Computation:

⇒ Additional risk of investing in the stock (Risk premium) = Potential return on stock investment - Return on U.S.Treasury bills

⇒  Additional risk of investing in the stock (Risk premium) = 10% - 4%

⇒ Additional risk of investing in the stock (Risk premium) = 6%

7 0
3 years ago
Which symbol can be used to correctly compare the two fractions 2/5 and 35/100
Kaylis [27]

Reduce 35/100 to 7/20 by dividing both sides by 5.

2/5 is bigger than 7/20.

2/5 > 7/20  or 2/5 > 35/100 if you leave it unsimplified

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Please find the question
melisa1 [442]

Answer:

By distance formula ,

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB = 6.71 units

6 0
3 years ago
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