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Burka [1]
2 years ago
6

Two hundred people were surveyed about whether or not they like recreational reading and academic reading. The following two-way

table displays data for the sample of people who responded to the survey.
Opinion Liked academic reading Disliked academic reading TOTAL
Liked recreational reading 136136136 404040 176176176
Disliked recreational reading 161616 888 242424
TOTAL 152152152 484848 200200200
In this sample, are the events "liked recreational reading" and "disliked recreational reading" mutually exclusive?

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
5 0
<h2>Answer:</h2>

Yes, the events "liked recreational reading" and "disliked recreational reading"  are mutually exclusive.

<h2>Step-by-step explanation:</h2>

Mutually exclusive is another word for disjoint.

Two events A and B are said to be mutually exclusive if:

                 P(A\bigcap B)=0

The two-way frequency table could be seen from the attached figure.

If here A denote the event liked recreational rating and B denote the event disliked recreational reading.

Then obviously such events are mutually exclusive.

Since, he has just two choices whether he will love a particular thing or not.

Ymorist [56]2 years ago
4 0
Yes. the two events, e.g. LIKED and DISLIKED cannot both be TRUE at the same time
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M&amp;M plain candies come in various colors. According to the M&amp;M/Mars Department of Consumer Affairs, the distribution of
UkoKoshka [18]
Since the Σ( of all colors )= 100%,  OR 1, then:

a) P(GREEN ∪ BLUEU) = P(G) + P(BL) = 8%+6% = 14% or 0.14

Since we have to choose ONE candy and only ONE candy at random, then tey are mutually exclusive: No. Choosing a green and blue M&M is possible

b) P(YELLOW ∪ RED) = P(Y) + P(R) = 18%+18% = 36% or 0.36
SAME ANSWER AS BEFORE: mutually exclusive

c) P(NOT PURPLE), Let's calculate 1st, the probability of having a PURPLE:
P(PURPLE) = 21% or 0.21
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2 years ago
Emma wants to estimate the percentage of people who use public transportation in a city. She surveys 140 individuals and finds t
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7 0
2 years ago
David wants to rent a bicycle for a couple of hours to explore the city. The price of the bike rental, (P)(P)left parenthesis, P
Mars2501 [29]

Answer:

The hourly charge is $4 per hour for the first 3 hours.

The rate then drops to $2 per hour until the end of the 6th hour.  

The hourly rate drops further to $1 per hour between the 6th and 10th  hours.

The maximum price of the bike rental is $30.

Step-by-step explanation:

The slope of the graph corresponds to the hourly rate for the bike rental.

During the first three hours of the bike rental, the price increases by $4 each hour.

Between the 3rd  and 6 th hours, the slope of the graph is 2, which means the hourly rate of the bike rental is $2 per hour.

Between the 6th and 10th hours, the rate is $1 per hour.

After the 10th  hour, the price, P, stops increasing. The maximum price of the bike rental is $30.

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2 years ago
Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult
viktelen [127]

Answer:

13 children and 9 adults if the total cost is $152.5

Step-by-step explanation:

Let x children and y adults

x + y = 22 (1)

5.5x + 9y = 125.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 125.5

5.5x + 198 - 9x = 125.5

-3.5x = 125.5 - 198

-3.5x = -72.5

x = 20.7

y = 22 - x = 1.3

Which is not possible

If the total cost is $152.5

x + y = 22 (1)

5.5x + 9y = 152.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 152.5

5.5x + 198 - 9x = 152.5

-3.5x = 152.5 - 198

-3.5x = -45.5

x = 13

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3 0
2 years ago
The area of a square is stored in a double variable named area. write an expression whose value is length of the diagonal of the
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First of all, a bit of theory: since the area of a square is given by

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So, the diagonal is the side length, multiplied by the square root of 2.

With that being said, your function could be something like this:

double diagonalFromArea(double area) {

double side = Math.sqrt(area);

double diagonal = side * Math.sqrt(2);

return diagonal;

}

3 0
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