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wariber [46]
3 years ago
13

A jar contains 38 red marbles numbered 1 to 38 and 38 blue marbles numbered 1 to 38 a marble is drawn at random from the jar

Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

P(Red) = 0.50'

P(Odd) = 0.50\\

Step-by-step explanation:

Given

Red = 38

Blue = 38

Required (Missing part of the question)

(a) The marble is red. (b) The marble is odd-numbered

Solving (a): Probability of Red.

This is calculated as:

P(Red) = \frac{Red}{Total}

P(Red) = \frac{38}{38+38}

P(Red) = \frac{38}{76}

P(Red) = 0.50

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

P(Odd) = \frac{Odd}{Total}

P(Odd) = \frac{19+19}{38+38}

P(Odd) = \frac{38}{76}

P(Odd) = 0.50\\

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36

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Here, f(x) is the input to g(x), forming a composite function.

To evaluate  (gºf)(5),

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A population of 30 deer is introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 200 deer,
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After one year the population will be 33 deers, and after two years it will be 36 deers.

Step-by-step explanation:

Given that a population of 30 deer is introduced into a wildlife sanctuary, and it is estimated that the sanctuary can sustain up to 200 deer, and absent constraints, the population would grow by 10% per year, to predict the population after one year and after two years, the following calculations must be performed:

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30 x 1.1 = X

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30 x 1.1 ^ 2 = X

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Solve for y in terms of v, w, x, and z.<br> wy=–zvx
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URGENT! if ABCD is dilated by a factor of 2, the coordinate of A' would be:
koban [17]

After dilating the quadrilateral ABCD by a factor of 2 and with respect to the origin, the point A(x, y) = (-3, -1) is transformed into the point A'(x, y) = (-9, -3).

<h3>How to determine the coordinates of an image after applying a rigid transformation</h3>

First of all, dilation is a type of <em>rigid</em> transformation. <em>Rigid</em> transformations are transformations applied on <em>geometric</em> loci such that the <em>Euclidean</em> distance at every point of the construction is conserved. Vectorially speaking, the dilation is expressed by the following formula:

A'(x, y) = A(x, y) + k · [A(x, y) - O(x, y)]     (1)

Where:

  • A(x, y) - Original point
  • O(x, y) - Center of dilation
  • A'(x, y) - Resulting point
  • k - Dilation factor

If we know that A(x, y) = (-3, -1), k = 2 and O(x, y) = (0, 0), then the coordinates of A' are:

A'(x, y) = (-3, -1) + 2 · [(-3, -1) - (0, 0)]

A'(x, y) = (-3, -1) + (-6, -2)

A'(x, y) = (-9, -3)

After dilating the quadrilateral ABCD by a factor of 2 and with respect to the origin, the point A(x, y) = (-3, -1) is transformed into the point A'(x, y) = (-9, -3).

To learn more on dilations: brainly.com/question/13176891

#SPJ1

4 0
1 year ago
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