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slamgirl [31]
3 years ago
14

Drawing a jack from a deck of cards, not replacing it, and then drawing another jack or examples of dependent variables.

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
7 0
<h2>Answer:</h2>

The given statement is a TRUE statement.

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

Two events are said to be dependent if the happening of one event affect the happening of the second event.

In the given situation the given events are dependent.

  • Since in a deck of 52 playing cards there are 4 jack.

Hence, the probability of drawing a jack in the first draw is: 4/52

  • Now this drawn card is not replaced.

This means now in the second draw we have to chose a card from 51 remaining cards and also the number of jack that would be left are: 3

Hence, the probability of drawing a jack in second draw= 3/51

This means that the first event affect the happening of second.

              Hence, the events are dependent.

Basile [38]3 years ago
3 0
The answer to this question is true
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The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.
Andrew [12]

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as \frac{y_2-y_1}{x_2-x_1}.  Plugging in the following values would provide you with:

\frac{(r)-(-5)}{(5)-(2)} =2

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7 0
2 years ago
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
3 years ago
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Answer:

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4 0
2 years ago
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