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madam [21]
3 years ago
14

Lauren did not pay her January FlashCard bill in full, so her February bill

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

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Consider the two regression lines 3x+2y=26 and 6x+y=31,
fenix001 [56]

The regression lines 3x+2y=26 and 6x+y=31 are linear regressions

  • The mean values are 4 and 7 and the correlation coefficient between x and y is 0.25
  • The standard deviation of x is 2/13

<h3>The mean value and the correlation</h3>

We have the equations to be:

3x+2y=26 and 6x+y=31

Make y the subject in the second equation

y = 31 - 6x

Substitute y = 31 - 6x in the first equation

3x+2[31 - 6x] = 26

Expand

3x+ 62 - 12x = 26

Collect like terms

3x - 12x = 26 - 62

Evaluate

-9x = -36

Divide by - 9

x = 4

Substitute x = 4 in y = 31 - 6x

y = 31 - 6 * 4

y = 7

This means that the mean values are 4 and 7

To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.

So, we have:

y = 13 - 3x/2 and x = 31/6 - 1/6y

The above means that:

Bxy = -1/6 and Byx = -3/2

The correlation coefficient is then calculated as:

r^2 = Bxy * Byx

r = -1/6 * -3/2

r = 0.25

Hence, the correlation coefficient between x and y is 0.25

<h3>The standard deviation of x</h3>

We have:

Var(y) = 4

In (a), we have:

y = 13 - 3x/2

To solve further, we make use of:

Var(y) = Var(ax + b) = a^2Var(x)

This gives

Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)

So, we have:

Var(y) = 13^2 * Var(x)

Substitute 4 for Var(y)

4 = 13^2 * Var(x)

Divide both sides by 13^2

4/13^2 = Var(x)

Express 4 as 2^2

(2/13)^2 = Var(x)

So, we have:

Var(x) = (2/13)^2

Take the square root of both sides

SD(x) = 2/13

Hence, the standard deviation of x is 2/13

Read more about regression lines at:

brainly.com/question/4341286

8 0
3 years ago
Please help ASAP
nexus9112 [7]
3 is the greatest common factor, because both numbers are divisible only by 3.
4 0
4 years ago
Read 2 more answers
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L
Afina-wow [57]

Answer:

11

Step-by-step explanation:

7 0
3 years ago
Monique bought a shirt for $22.80 during a 30% off sale. How much does the shirt cost when it is not on sale?
spin [16.1K]

Answer:

29.64

Step-by-step explanation:

First we multiply 0.3 with 22.8.This will give us 6.84 which is the 30% off.Now we add 22.80 and 6.84 and we will get our answer 29.64.

4 0
3 years ago
Read 2 more answers
Joseph owns a small business selling bagels. He knows that in the last week 71 customers paid cash, 4 customers used a debit car
Dovator [93]

Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,

Total number of customers = 71 + 4 + 36 = 111

Now, the probability that the next customer will pay with cash is,

Probability

= Number of customers who pay with cash / Total number of customers

= 71 / 111

= 0.63963

To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,

Probability = 0.63963 × 100%

                  = 63.963% ≈ 64%

Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

Learn more about Probability here:

brainly.com/question/795909

#SPJ1

7 0
1 year ago
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