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Kazeer [188]
3 years ago
6

the observation of an underground data in their ascending order are 12,15,X,19,28. if the median of the data is 18 find the valu

e of x​
Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

The value of x = 18

Step-by-step explanation:

Given the data set

12,15,x,19,28

  • Given that the median of the data is 18.
  • We know that the median is the middle number in a data set when the data points are in ascending order.

As the given data is already in ascending order.

  • Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.

As 'x' is the middle number, thus it represents the median value.

Therefore, the value of x = 18

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See the attached figure.

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m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

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3 years ago
Solving inequalities <br><br><br> 3n + 8 &lt; 5
Bezzdna [24]

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If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its he
natta225 [31]

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

  • (h, k) is the vertex point
  • h = \frac{-b}{2a} and k = f(h)
  • (h, k) is a minimum point if a > 0 and a maximum point if a < 0

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = \frac{-128}{2(-16)} = \frac{-128}{-32}

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet

4 0
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