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shutvik [7]
2 years ago
15

Jones has a 100-acre farm. he sells it to a developer who is going to build houses. the developer will use 10% of the land for s

treets, sewers, and parks. he will divide the rest of the land into 120 lots. how many square feet will be in each lot?
Mathematics
1 answer:
Sholpan [36]2 years ago
6 0
The first thing we must do is find the amount of land that will be used for the 120 lots.
 We must remember that 10% of the land will not be used for the lots.
 We have then:
 100 - (0.10) * (100) = 100 - 10 = 90 acres.

 Then, we must consider the following conversion of units:
 1 acre = 43560 ft ^ 2

 Applying the conversion we have:
 (90) * (43560) = 3920400 ft ^ 2

 Then, the amount of square feet for each lot is given by:
 3920400/120 = 32670 ft ^ 2

 Answer:
 
There will be 32670 square feet in each lot.
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Answer:

Step-by-step explanation:

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The variable has a normal distribution.

The information given is:

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The formula for the Confidence interval is:

x[bar]±Z_{1-\alpha/2}*(δ/n)

Lower bound(Lb): 3.698

Upper bound(Ub): 4.182

Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242

I hope it helps!

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2 years ago
As a self-employed seamstress, you know that it takes 7 yards of material to make 3 jackets. You bought 15 yards of material to
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you bought a little bit less than you needed

Step-by-step explanation:

so if it takes 7 yards to make three jackets and you have 15 yards this is what you have to do:

7 yards=3 jackets

7+7=14 so with 14 yards you can make 6 jackets

but you bought fifteen and 7 divided 3 equals 2.3 ( or what it takes to make one jacket)

so if you wanted to have exactly enough material to make 7 jackets you need  16.3 yards

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2 years ago
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Hannah bought a total of 5.12 pounds of fruit at the market. She bought 2.5 pounds of pears and she also bought some bananas. Ho
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A basketball player has made 70​% of his foul shots during the season. Assuming the shots are​ independent, find the probability
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Answer:

a) 0.07203

b) 0.0189

c) 0.973

Step-by-step explanation:

Probability of making one shot, for the player = 70% = 0.70

Probability of NOT making a shot = 1 - 0.70 = 0.30

Assuming that the shots are​ independent

a) Misses for the first time on his fifth attempt ​

For him to miss on his for the first time on his fifth attempt, he has to make the first four shots

The required probability = (0.7)⁴(0.3) = 0.07203

b) Makes his first basket on his fourth shot

For him to make his first basket on the fourth shot, he has to miss the first three shots.

Required probability = (0.3)³(0.7) = 0.0189

​c) Makes his first basket on one of his first 3 shots

This is a sum of probabilities; that is, he could make the first basket on the first shot, or miss on the first shot and make the second shot or miss on the first two shots and make the basket on the third shot.

Required probability

= (0.70) + (0.3×0.7) + (0.3×0.3×0.7)

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