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3 years ago

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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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:

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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.

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

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