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docker41 [41]
3 years ago
9

Probability of compound events: picking a number from 1 to 5 and choosing the color red,white,orblue

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

1 in 15, or 6,67%

Step-by-step explanation:

We'll suppose a few things here, because your question isn't very explicit on details.

First, we'll suppose the numbers and the colors are placed in two different bags/bowls.. so you do one pick for a number and one pick for a color, since you talk about compound events.

Second, the question says "picking a number" and "choosing the color...".  We'll assume it means chances of picking a specific number and a specific color... like "Number 3 and color white".

Since they are compound events, you multiply the probability of each one occurring.

First, how many chances to pick a given number from the 5 numbers?

1/5 right?

How many chances to pick a given color from the 3 colors?

1/3 right?

Every time you pick the number 4, you still have 3 possibilities regarding the color.

So, the compound probability is:

\frac{1}{5} * \frac{1}{3} = \frac{1}{15}

1/15 to pick a specific number/color combination.

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A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh
andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0
3 years ago
What’s the correct answer for this? Select the ones that apply
faust18 [17]
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7 0
3 years ago
Amy has a garden covering 900 square feet.
blagie [28]
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7 0
3 years ago
Pls help this is important
Svet_ta [14]

Answer:

<h2>C is the answer </h2>

Step-by-step explanation:

<h2>5/4 is the answer</h2>

8 0
3 years ago
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Describe the characteristics of a prism
HACTEHA [7]

A prisms characteristics are as followed

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4 0
3 years ago
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