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arsen [322]
3 years ago
9

A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at random, what is the probability

that exactly 5 of them favor the new building project?
Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

30%

Step-by-step explanation:

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Choose the fraction that is greater than 3/18٫is less than 50/100٫and has 9 as its denominator
erik [133]

Answer:

4/9

Step-by-step explanation:

  • The denominator is the bottom value of a fraction, therefore we can discount 9/2
  • 1/9 = 2/18.  2/18 is smaller than 3/18 so we can discount 1/9
  • 50/100 = 0.5
    5/9 = 0.55555...
    0.55555... is greatest than 0.5, therefore we can discount 5/9
  • Answer is 4/9

8 0
2 years ago
Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16
HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image  PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

|A'B'|=k\times |AB|   .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}

PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}

It is noticed that the size of side in preimage is 2\sqrt{13} and the size of same side in image is \sqrt{13}.

Using equation (1), we get

\sqrt{13}=k \times 2\sqrt{13}

k=\frac{1}{2}

k=0.5

Hence, the value of scale factor is 0.5.

7 0
3 years ago
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Yoko is trying to save money for a new bicycle. She sets up a budget as shown below. Yoko’s Monthly Budget Description Income Po
KonstantinChe [14]

Answer:

$85

Step-by-step explanation:

<u>Earning:</u>

  • $125 + $55 = $180

<u>Spending:</u>

  • $25 + $10 + $25 + $35 = $95

<u>Amount available for saving:</u>

  • $180 - $95 = $85
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3 years ago
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sweet T has 2 orange picks for every 5 green.If there are 21 picks in all,How many picks are orange?
kipiarov [429]
6 of the picks are orange.
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How do u do this ? I'm so confused I really need help
Art [367]
Well what do u need help with can u explain?
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