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serg [7]
3 years ago
12

As part of a study done for a large corporation, psychologists asked randomly selected employees to solve a collection of simple

puzzles while listening to soothing music. Twenty-three (23) out of 56 employees solved the puzzles in less than 7 minutes. Suppose an employee in the study is selected randomly. Calculate the probability that they take longer than 7 minutes to solve the puzzles.
Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

A' : Employees solved puzzles in more than 7 minutes

Based on this we are interested to find the probability for A'

We can begin finding P(A), from the definition of probability we know:

P(A)=\frac{Possible outcomes}{Total outcomes}

For this case if we replace we got:

P(A) =\frac{23}{56}=0.411

And using the complemnt rule we got:

0.411 +P(A')=1

And solving for P(A') we got:

P(A')=1-0.411=0.589

And that represent the probability that they take longer than 7 minutes to solve the puzzles.

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The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in
nadezda [96]

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

4 0
3 years ago
Is (0,0) a solution to 6x - 7y > 20 please include the steps!
leonid [27]

Answer:

No.

Step-by-step explanation:

To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:

6x-7y>20

Substitute 0 for x and 0 for y:

6(0)-7(0)\stackrel{?}{>}20

Multiply:

0-0\stackrel{?}{>}20

Subtract:

0\not>20

So, (0,0) is <em>not</em> a solution.

And we're done!

8 0
3 years ago
Read 2 more answers
Idk how to do this equation
AveGali [126]
The answer to your question is car A because every 1 gallon o gas it goes  33 MPH, car A also uses the least amount of gas. Hope this helps! ;D
7 0
3 years ago
Two brothers, Kevin and Greg, each inherit S43000. Kevin invests his inheritance in a savings account with an annual return of 1
creativ13 [48]

Answer:

S1548.

Step-by-step explanation:

1-7% =- 0.017 and 5.3% - 0.053.

Kevin : After 1 year he has 43,000 * 0.017 = S731.

Greg:  After 1 year he has  43,000 * 0.053 =  S2279

Difference = 2279 - 731 = S1548.

4 0
3 years ago
Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land
Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are <u>89 acres</u> (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37%  of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

\frac{37}{100}\times 240

0.37\times 240

88.80

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).

5 0
3 years ago
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