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garik1379 [7]
2 years ago
15

Need answers for this

Mathematics
1 answer:
pav-90 [236]2 years ago
5 0

Answer:

Step-by-step explanation:

<h3>Mean, Median,mode</h3>

   \boxed{Mean = \dfrac{Sum \ of  \  all \ data}{number \ of data}}

              \sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875

<h3>Median:</h3>

Arrange the numbers in ascending order.

  176 , 195 , 212 , 234 , 236 , 243 , 247, 248  

Number of data is even. So, median will be the average of 234 and 236

Median = average of the middle two terms.

            \sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235

Mode is the data which is occurring more number of times.

Range = maximum - minimum

           = 248 - 176

            = 72

       

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Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
4 years ago
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