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3 years ago

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5: Answer the questions completely: Jordan has a new puppy. She wants to put a fence around part of her yard to cover an area of

200 square feet. What dimensions (length x width) should she make the rectangular area? What would be the perimeter of this area?

1 answer:

yuradex [85]3 years ago

8 0

There are many possible solutions to this problem.

Area (A) = Length (L) x width (w)

200 = L x w (any two numbers whose product is 200 is acceptable)

I am going to choose L=20 and w=10, then A = 20 x 10 = 200

Perimeter (P) = 2L + 2w

= 2(20) + 2(10)

= 40 + 20

= 60

Answer: one possible solution is L=20, w=10, P=60

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It should be:

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2 years ago

lions [1.4K]

Answer:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

Step-by-step explanation:

Given

$n = 125$

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

$Pr = \frac{Frequency}{n}$

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

$Pr(2) = \frac{13}{125} = 0.104$

$Pr(4) = \frac{29}{125} = 0.232$

$Pr(6) = \frac{6}{125} = 0.048$

When the frequency is to be calculated, we use:

$Pr = \frac{Frequency}{n}$

$Frequency = n * Pr$

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

$Frequency(3) = 125 * 0.144 = 18$

$Frequency(5) = 125 * 0.296 = 37$

For roll of 1 where the frequency and the probability are not known, we use:

$Total \ Frequency = 125$

So:

Frequency(1) added to others must equal 125

This gives:

$Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125$

$Frequency(1) + 103 = 125$

Collect like terms

$Frequency(1) =- 103 + 125$

$Frequency(1) =22$

The probability is then calculated as:

$Pr(1) = \frac{22}{125}$

$Pr(1) = 0.176$

So, the complete table is:

$1 \to 22 \to 0.176$

$2 \to 13 \to 0.104$

$3 \to 18 \to 0.144$

$4 \to 29 \to 0.232$

$5 \to 37 \to 0.296$

$6 \to 6 \to 0.048$

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2 years ago

The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots

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Answer:

Total number of coffee pot = 16 pots

Step-by-step explanation:

Given:

Time taken for drying all coffee pot = 10 minutes

Total time taken for cleaning and drying coffee pot = 82 minutes

Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes

Find:

Total number of coffee pot

Computation:

Total time taken for cleaning = Total time taken for cleaning and drying coffee pot - Time taken for drying all coffee pot

Total time taken for cleaning = 82 - 10

Total time taken for cleaning = 72 minutes

Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot

Total number of coffee pot = 72 / 4.5

Total number of coffee pot = 16 pots

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3 years ago

If the length of a pool is 8 more than twice the width and the total area is 960 square feet, find the length and width of the r

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Answer:

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Step-by-step explanation:

Let the width of the pool be w feet, then the length will be:

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The area of the pool is 960 square feet.

This means that:

$w(2w + 8) = 960$

Expand and rewrite in standard form to get:

$2 {w}^{2} + 8w - 960 = 0$

${w}^{2} + 4w - 480 = 0$

${w}^{2} + 24w - 20w- 480 = 0$

${w}(w+ 24) - 20(w + 24) = 0$

Factor to get:

$(w+ 24)(w - 20) = 0$

$w = - 24 \: or \: w = 20$

We discard the negative value because magnitude is positive.

This means

$l = 2 \times 20 + 8 = 48$

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Answer:

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Step-by-step explanation:

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