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Phantasy [73]
3 years ago
14

Find the mode of the set data: 49, 41, 46, 28, 33, 47, 29, 27, 47, 52, 32.

Mathematics
1 answer:
Rashid [163]3 years ago
4 0
47 is the answer ........
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Which graph represents —3x+ 5y < 15?
Svetllana [295]
The top graph
hope this help
8 0
4 years ago
Read 2 more answers
a farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1200 to spend and each
Jobisdone [24]

Answer:

4 acres of wheat and 4 acres of rye.

Step-by-step explanation:

Given: Farmer has only 7 acre, he has plant at least 7 acres.

          Farmer has only $1200 to spend.

          Each acre of wheat will cost $200 and rye will cost $100.

          Planting time is only 12 hours

          Wheat planting take 1 hour per hour and rye take 2 hours per acre.

          Profit on wheat is $500 per acre and rye $300 per acre.

As to find out maximum profit, we need to plant maximum wheat.

While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.

Lets assume few number considering these constraint to get maximum profit.

First assumption, 5 acres of wheat and 2 acres of rye

Time taken= 5\times 1= 5 h\\2\times 2= 2 h

Total time taken 7 hours

Amount spent= 5\times 200= \$ 1000\\2\times 100= \$ 200

Total cost is $ 1200.

Profit= 5\times 500= \$ 2500\\2\times 300= \$ 600

Maximum profit= $3100.

Second assumption, 4 acres of wheat and 4 acres of rye.

Times taken= 4\times 1= 4 h\\4\times 2= 8 h

Total time taken is 12 hours

Amount spent= 4\times 200= \$ 800\\4\times 100= \$ 400

Total cost is $1200.

Profit= 4\times 500= \$ 2000\\4\times 300= \$ 1200

Maximum profit= $3200.

∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.                

8 0
3 years ago
What is the fibonacci sequence who invented it and what is it used for
butalik [34]

Answer:

Read the explanation

Step-by-step explanation:

- The Fibonacci Sequence is the series of numbers:

 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...

- The next number is found by adding up the two numbers before it

# Example:

- The 2 is found by adding the two numbers before it (1+1)

- The 3 is found by adding the two numbers before it (1+2),

- The 5 is (2+3) and so on

- The rule of it is x(n) = x(n-1) + x(n-2) where

# x(n) is term number ⇒ n

# x(n-1) is the previous term ⇒ (n-1)

# x(n-2) is the term before that ⇒ (n-2)

- Example: the 8th term is  the 7th term plus the 6th term:

 x(8) = x(7) + x(6)

# Note: When we take any two consecutive Fibonacci Numbers,

 their ratio is very close to the Golden Ratio φ

- The Golden Ratio φ is approximately 1.618034...

- We can calculate any Fibonacci Number using the Golden Ratio:

  x(n) = [φ^n - (1 - φ)^n]/√5

- The answer is a whole number, exactly equal to the addition of the

  previous two terms.

# There is an interesting patterns in Fibonacci sequence:

  every nth number is a multiple of x(n)

- Example:

* x3 = 2 ⇒ every 3rd number is a multiple of 2 (2, 8, 34, 144, 610, ...)

* x4 = 3 ⇒ Every 4th number is a multiple of 3 (3, 21, 144, ...)

* x5 = 5 ⇒ Every 5th number is a multiple of 5 (5, 55, 610, ...)

- The man who invented it.

 His real name was Leonardo Pisano Bogollo, and he lived between

 1170 and 1250 in Italy.

- Fibonacci was his nickname

- Fibonacci sequence is it used for:

# Reflects patterns of growth spirals (a spiral curve , shape , pattern ,

  object) found in nature

# It is the closest approximation in integers to the logarithmic spiral

  series, which follows the same rule as the Fibonacci sequence

6 0
3 years ago
Four less than the product of one and a number X. <br><br><br> Please help me.
satela [25.4K]

Answer:

x−4

Step-by-step explanation:

3 0
3 years ago
The blueprint for a house has a scale of 1 cm = 3 ft.
Sophie [7]
To find that, just multiply 5x3 and your answer will be 15 :))
6 0
3 years ago
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