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algol13
2 years ago
12

A factory is to be built on a lot measuring 150 ft by 200 ft. A local building code specifies that a lawn of uniform width and e

qual in area to the factory must surround the factory. What must the width of this lawn be, and what are the dimensions of the factory?
width of lawn ft
factory dimensions ft (smaller length) by ft (larger length)
Mathematics
1 answer:
Lyrx [107]2 years ago
3 0

Answer:

30000

Step-by-step explanation:

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Mona wants to obtain a 94% confidence interval for the mean weight of turtles. She read in the Big Book of Turtles that the stan
mel-nik [20]

Answer:

87

Step-by-step explanation:

Population standard deviation = σ = 37 grams

Confidence interval = 94%

(1-α)×100% = 94

⇒α = 0.06

From table z table and interpolation

z = 1.881

L = Confidence interval length = 15

N = Number of samples

L=2z_{\alpha/2}\frac{\sigma}{\sqrt N}\\\Rightarrow \sqrt N=2z_{\alpha/2}\frac{\sigma}{L}\\\Rightarrow \sqrt N=2\times 1.881\frac{37}{15}\\\Rightarrow \sqrt N=9.2796\\\Rightarrow N=86.11097616\approx 87

∴ Number of turtles must she must weigh is 87

6 0
3 years ago
It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the n
zvonat [6]

Complete question is;

It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the number of gallons of water in the cooler after t minutes. Which of the following equations represent the relationship between w and t? Select all that apply

A) w = 1.6t

B) w = 0.625t

C) t = 1.6w

D) t = 0.625w

Answer:

Option A: w = 1.6t

& Option D: t = 0.625w

Step-by-step explanation:

We are told It took Priya 5 minutes to fill a cooler with 8 gallons of water at a steady rate.

Thus;

Rate of filling = 8 gallons/5 minutes = 1.6 gallons/minutes

Now, we are told that w is the number of gallons of water in the cooler after t minutes.

Thus, to find w, we will multiply the rate by t minutes.

w = 1.6 gallons/minutes × t minutes

w = 1.6t gallons

Or we can write as;

w/1.6 = t gallons

0.625w = t gallons

Therefore, options A & D are correct.

4 0
3 years ago
Read 2 more answers
Area of a rectangle is (6x25x + 2) sq. units.
nadya68 [22]
<h2><u><em>Answer:  meters. </em></u></h2><h2><u><em> </em></u></h2><h2><u><em>Step-by-step explanation:  Let L be the length of the rectangle.  We have been given that the rectangle has an area of square meters and a width of meters.  Since we know that area of a rectangle is the product of its length and width.  To find the length of our given rectangle we will divide the area of the rectangle by the width of our rectangle.  Let us factor out our numerator by splitting the middle term.  Upon canceling out x-7 from numerator and denominator we will get,  Therefore, the length of our rectangle will be metered.</em></u></h2>
3 0
3 years ago
A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and rec
Shkiper50 [21]
<span>The theoretical probability of spinning any one of the five colors is 20%.

The theoretical probability of spinning green is equal to the experimental probability of spinning green.

If Yuri spins the spinner 600 more times and records results, the experimental probability of spinning orange will get closer to the theoretical probability of spinning orange.</span>
7 0
3 years ago
Read 2 more answers
If the animal is in the woods on one observation, then it is four times as likely to be in the woods as the meadows on the next
kvv77 [185]
My solution to the problem is as follows:

<span>day 1: 1 
day 2: 0.6667 
day 3: 0.5111 
day 4: 0.4385 <-------
</span>
Therefore, <span>the probability that the animal is in the woods on fourth observation would be 0.4385.

I hope my answer has come to your help. God bless and have a nice day ahead!
</span>
4 0
3 years ago
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