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AveGali [126]
3 years ago
6

The mean value of land and buildings per acre from a sample of farms is ​$1300​, with a standard deviation of ​$200. The data se

t has a​ bell-shaped distribution. Assume the number of farms in the sample is 74.
​(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between ​$1100 and ​$1500.

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

number of farms are 108

Step-by-step explanation:

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Anna35 [415]

Answer:

I got 235, which works in perfectly into the problem...

Step-by-step explanation:

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On a 1/6 scale drawing of a bike, one part is 3 inches long. how long will the actual bike part be?
aniked [119]
1/6*6 is 1, so we can say that 3*6 is 18.
So, the part will be 18 inches in real life.
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3 years ago
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A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte
kotykmax [81]

Answer:

  1. P(t) = 400×2^(t/2)
  2. 6400
  3. 5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

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2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

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3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0
3 years ago
What is the solution to the system of equations? y = -4x + 10 3x + y = 2
Bess [88]

Answer:

(8, -22) All real numbers

Step-by-step explanation:

So since we already have the value of y lets Substitute;

3x + (-4x + 10) = 2

Distribute;

3x - 4x + 10 = 2

Collect like terms;

-1x + 10 = 2

Subtract 10 from both sides;

-1x = -8

Divide both sides by -1

x = 8

So now lets get the actual value for y by substituting x;

y = -4(8) + 10

y = -32 + 10

y = -22

(x, y) = (8, -22)

6 0
2 years ago
Please do asap!!!!! Due now!
Troyanec [42]
The answer would be 248 inches
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