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katen-ka-za [31]
2 years ago
11

Sisters Amilia and Bianca play games together often. Let A represent the number of games Amilia wins monthly, and let B represen

t the number of games Bianca wins monthly. A and B are independent events. The mean of A is 35. 7 games with a standard deviation of 5. 1 games, and the mean of B is 37. 3 games with a standard deviation of 6. 8 games. What is the mean and standard deviation of the total number of games won, S = A + B? Mu Subscript s = 54. 4 games and Sigma Subscript s= 3. 4 games. Mu Subscript s = 54. 4 games and Sigma Subscript s= 11. 9 games. Mu Subscript s = 73. 0 games and Sigma Subscript s= 8. 5 games. Mu Subscript s = 73. 0 games and Sigma Subscript s= 11. 9 games
Mathematics
1 answer:
Harman [31]2 years ago
7 0

Using addition of variables, it is found that the mean of S is of 73 and the standard deviation is of 8.5.

<h3>What happens to the mean and the standard deviation when two variables are added?</h3>
  • The mean is the sum of the means.
  • The standard deviation is the square root of the sum of variances.

In this problem, for variables A and B, we have that:

\mu_A = 35.5, \sigma_A = 5.1

\mu_B = 37.3, \sigma_B = 6.8

Variable S is the sum of A and B, hence:

\mu_S = \mu_A + \mu_B = 35.5 + 37.3 = 73

\sigma_S = \sqrt{\sigma_A^2 + \sigma_B^2} = \sqrt{5.1^2 + 6.8^2} = 8.5

The mean of S is of 73 and the standard deviation is of 8.5.

More can be learned about addition of variables at brainly.com/question/26156502

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Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

A linear function is a function whose graph is a straight line. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function.

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koban [17]

Answer:

She will be charged $180 once lets the account go past 6 months before making a payment.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

If she pays within 6 months, she is not charged any interest.

However, if after 6 months she has not paid the balance, she is charged 20% interest for this period.

Barbara financed a new bedroom set at the furniture store for $1,800.

This means that P = 1800

20 percent interest

This means that I = 0.2

How much interest will she be charged once she lets the account go past 6 months?

6 months is half a year, so this is E when T = 0.5

E = P*I*t

E = 1800*0.2*0.5

E = 180

She will be charged $180 once lets the account go past 6 months before making a payment.

3 0
3 years ago
What is 13.984 rounded to the nearest tenth
eimsori [14]
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.984 is closer to 1 than to .9, so we have to round up.
7 0
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In a certain state, fishing licenses are in the form of LLL NN, where L stands for a letter of the alphabet and N stands for a o
Pavel [41]
<h2>Answer:</h2>

There are 1757600 possibilities.

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

In a certain state, fishing licenses are in the form of LLL NN

L stands for a letter of the alphabet (a to z)

N stands for a one-digit number from 0 to 9.

Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.

Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.

Hence, the total possible outcomes will be :

26\times26\times26\times10\times10=1757600

Therefore the answer is 1757600 possibilities.

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Answer:

\text{As  } x \to \infty, y  \to \infty,$and as  x \to -\infty, y  \to \infty

Step-by-step explanation:

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To examine its end behavior, we create a table of values that we can then examine.

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Therefore, as:

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