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Angelina_Jolie [31]
3 years ago
11

A. The length of a rectangular fenced enclosure is 12 feet more than the width. If Farmer Dan has 100 feet of fencing, write an

inequality to find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.
b. What are the dimensions of the rectangle with the largest perimeter? What is the area enclosed by this rectangle?
Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0
100x12= (10x12)+(10x12)+(10x12)+(10x12)+(10x12)+(10x12)+(10x12)+(10x12)+(10x12)+(10X12)= 700
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(c) a farm brings 15 tons of watermelon to market. find a 90% confidence interval for the population mean cash value of this cro
Nina [5.8K]

Answer:

First we need to name some of the variables we are given:n = 38 the sample sizex = 6.88 the sample mean = 1.86 the population standard deviationWe need to find a 90% confidence interval for the mean price per 100 lbs of watermelon: = 1-.90 = .10/2 = .05z(/2) = -1.64-z(/2) = 1.64This can give us a probability expression:P(-1.645 < z < 1.645) = .90The margin of error is calculated with the formula: E = z(/2)(/√n)E = 1.645(1.86/√38) = $.4963(300) = $148.89   Then to calculate the upper and lower limit we add and subtract E from x:lower limit = 6.88 - .4963 = $7.38(300) = $2214upper limit = 6.88 + .4963 = $6.38(300) = $1914Note: We multiply the E, upper and lower limits by 300 because 15 tons is 30000lbs and we need the price per 100 lbs, so we divide 30000/100 and get 300.

Step-by-step explanation:

7 0
2 years ago
In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the pr
kondor19780726 [428]

Answer:

0.2297453

Step-by-step explanation:

Given that :

Total faces of = 12 labeled 1 - 12

Probability of showing a 2 ;

P = required outcome / Total possible outcomes

P(showing a 2) = 1 /12

Hence, probability of not showing a 2 ;

P(showing a 2)' = 1 - 1/2 = 11/12

Probability that atleast one of 3 cubes shows a 2 :

1 - P(none of the cubes shows a 2)

P(none of the cubes shows a 2) =

(11/12 * 11/12 * 11/12) = 0.7702546

1 - 0.7702546 = 0.2297453

8 0
3 years ago
Answer with explanation plz
Nostrana [21]
The answer is 78.5 because the formula to find area is πr2 so the radius is 5ft π is 3.14 so 3.14 times 5 and the 2 on top of r means the u have to do 5 times 5 which is 25 now it's real simple do 3.14 times 25 which is 78.5 I HOPE THIS HELPS=)
7 0
3 years ago
Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 f
lana [24]

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

<u>-TheUnknownScientist</u>

7 0
3 years ago
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
solmaris [256]

The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.

<h3>What is a quadratic equation?</h3>

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The expression is x² + x.

Then the constant should be added to form a perfect square trinomial.

Then the constant will be

The square of the half of the coefficient of the variable x is to be added to make a perfect square.

Then the constant will be 1/4.

Then the perfect square will be

\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2

More about the quadratic equation link is given below.

brainly.com/question/2263981

#SPJ1

4 0
2 years ago
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