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Gnesinka [82]
3 years ago
5

When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is a

lso 3. What is the remainder when y is divided by 19?A. 0B. 1C. 2D. 3E. 4
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

A) 0

Step-by-step explanation:

When x is divided by 11, we have a quotient of y and a remainder of 3

x/11 = y + 3

x = 11y + 3 ........(1)

When x is divided by 19, we have a remainder of 3 also

x/19 = p + 3 (p = quotient)

x = 19p + 3 ..........(2)

Equate (1) and (2)

x = 11y + 3 = 19p + 3

11y + 3 = 19p + 3

11y = 19p + 3 -3

11y = 19p

Divide both sides by 11

11y/11 = 19p/11

y = 19p/11

y and p are integers. 19 is a prime number. P/11 is also an integer

y = 19(integer)

This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0

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a. Genre with highest mean is drama. Mean is 72.10

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Step-by-step explanation:

First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.

1. Which genre has the highest mean score?

From the table, we have the means as:

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The genre with the highest score is drama at 72.10

2. Difference in mean score between comedy and horror

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Difference = lc-ly

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3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00

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