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Murrr4er [49]
3 years ago
5

Which of the following is an example of dependent events?

Mathematics
2 answers:
butalik [34]3 years ago
7 0

Answer:

Option C - drawing one card after the other is the dependent event.

Step-by-step explanation:

To find : Which of the following is an example of dependent events?

Dependent Events

Definition- Two or more events are dependent if the outcome of one event affects the outcome of the other.

So, one event "depends" on another, they are dependent.

From the given examples :

a. tossing a coin and spinning a spinner  - They are independent events because there is no effect of one on another.

b. tossing a coin twice  - It is not a dependent event because they tossed together so event of one not effect the other.

c. drawing one card after the other - It is dependent event because drawing of one card is one event and drawing another card after the first event happened is depend on the first event.

Therefore, Option C is correct.

GrogVix [38]3 years ago
3 0
Out of the choices given, the best example of a dependent event is drawing one card after the other. The correct answer is C. 
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A basketball team played 25 games and won 7 more then they lost. How many games did they win and lose
Darya [45]

Answer:

lost = 9 games

and

won = 9 + 7 = 16 games

Step-by-step explanation:

Given that:

Total games played = 25

According to given condition:

lost = x

won = 7 + x ----------- eq1

x + x + 7 = 25

2x = 25 - 7

2x = 18

x = 9

So they lost = 9 games

and won = 9 + 7 = 16 games

i hope it will help you!

7 0
3 years ago
Read 2 more answers
If x = -3 and y = 4x - 1, then y equals what number
Masteriza [31]

\huge\text{Hey there!}

\large\textsf{y = 4x - 1}

\large\text{If x= -3, then substitute it into the given equation}

\large\textsf{y = 4(-3) - 1}

\large\textsf{4(-3) = \boxed{\bf -12}}

\large\textsf{y = -12 - 1}

\large\textsf{-12 - 1 = y}

\large\textsf{-12 - 1 = \boxed{\bf -13}}

\boxed{\boxed{\large\textsf{Answer: \huge  \bf y = -13}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 64x^3-343
In-s [12.5K]

Answer:

B:  (4x - 7)(16x^2 + 28x + 49)

Step-by-step explanation:

64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3.  This is the difference of two cubes.  The appropriate formula for factoring such is

       a^3 - b^3 = (a - b)(a^2 + ab + b^2).  Therefore,

our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49).  This is Answer B.

4 0
3 years ago
A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the
coldgirl [10]

Answer:

just divide 120 divided by 30 is 4 I know it right bc I had the same question on into math if thats what you were on

Step-by-step explanation:

5 0
3 years ago
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monu
Leokris [45]

Answer:

John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

Also, substituting b = 3,000 into equation (4), we have:

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

8 0
3 years ago
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