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pishuonlain [190]
2 years ago
6

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four

comedies. Which statement is true? The probability that Christina will choose three comedies can be expressed as StartFraction 1 Over 4 C 3 EndFraction. The probability that Christina will choose three action movies can be expressed as StartFraction 20 C 3 Over 9 C 3 EndFraction. The probability that Christina will not choose all comedies can be expressed as 1 − StartFraction 4 C 3 Over 20 C 4 EndFraction. The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.
Mathematics
1 answer:
zmey [24]2 years ago
7 0

Answer:

The answer is <u>D</u>

Step-by-step explanation:

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A popular podcast poses questions to subscribers at the end of each segment, asking listeners to enter their
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The poll uses voluntary response, so the results tell us little about the population of all adults.

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I took the test

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What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 16 red marble
boyakko [2]

Option B

Probability of drawing yellow marble followed by a red marble is \frac{32}{301}

<em><u>Solution:</u></em>

Given that a bag containing 12 yellow marbles, 16 red marbles, and 15 green marbles

So total number of marbles = 12 + 16 + 15 = 43

To find: probability of drawing yellow marble followed by a red marble if the first marble is not replaced

<em><u>The probability of an event is given as:</u></em>

probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}$

<em><u>probability of drawing yellow marble followed by a red marble if the first marble is not replaced:</u></em>

First we pick up yellow marble.

Number of favorable outcomes = 12 yellow marbles

Total number of possible outcomes = 43 marbles

\text{ probability} = \frac{12}{43}

Now we have to pick red marble

But first marble is not replaced

So we have 43 - 1 = 42 number of possible outcomes

Favorable outcomes = 16 red marbles

\text{ probability} = \frac{16}{42}

So probability of drawing yellow marble followed by a red marble is:

\text[ probability } = \frac{12}{43} \times \frac{16}{42} = \frac{32}{301}

Thus probability of drawing yellow marble followed by a red marble is \frac{32}{301}

7 0
2 years ago
A scientist wants to estimate the number of roads living near a lake.
QveST [7]
90 + 50 = 140
140 - 7 = 133
130 - 140
7 0
2 years ago
A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea
gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

V=\pi r^{2} h

1250=3.14\times(10)^{2}\times h

1250=314 h

h=\frac{1250}{314}

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are \frac{20}{4}=5 layers in the cake.

Answer: There are 5 layers in the cake.

5 0
2 years ago
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