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MAXImum [283]
3 years ago
9

Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one

of the two cards is a face card (Jack, Queen, or King)? (Give the answer as a decimal rounded to three decimal places.)
Mathematics
1 answer:
babymother [125]3 years ago
8 0

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

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A share of ABC stock was worth $70 in 2011 and only
Bezzdna [24]

Answer:

5v + 32y = 350

Step-by-step explanation:

Let, the year counting starts in 2011 and represented by y.

So, the share of ABC stock value was $70 at y = 0. And in the year 2016 i.e. y = (2016 - 2011) = 5, the share worth $38.

If there is a linear relationship between the number of years since 2011 i.e. y and the value of the share of ABC stock i.e. v, then we can write the equation of this situation as

\frac{v - 70}{70 - 38} = \frac{y - 0}{0 - 5}

⇒ 5v - 350 = - 32y

⇒ 5v + 32y = 350 (Answer)

6 0
3 years ago
Several students measured a 25-mm-long nail and wrote the measurements shown in the table below. Whose measurement had the great
garik1379 [7]

Answer:

Step-by-step explanation:

The decibel level of the sound of a monster truck is

Further explanation:

Decibel is defined as a unit which is used to measure the relative loudness or intensity of the sound.

In the question it is given that the intensity of the sound of a monster truck is watts per square inch.

The formula which is used to calculate the decibel level of a sound is as follows:

Here, represents the intensity of the sound of a monster truck and represents the threshold intensity of hearing at .

The value of the threshold intensity of hearing at is watts per square meter.

This implies that the valiue of is watts per square meter.

The intensity of the sound of a monster is given in unit of per square inch.

The relation between per square inch and per square meter is as follows:

So, the intensity of a monster truck is converted into per square meter as follows:

This implies that the value of is watts per square meter.

Now, substitute the value of and in the equation .

The approximated value of the above equation is as follows:

From the above calculation it is concluded that the decibel level of the sound of a monster truck is .

Learn more:

A problem to complete the square of quadratic function brainly.com/question/12992613

A problem to determine the slope intercept form of a line brainly.com/question/1473992

Inverse function brainly.com/question/1632445

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Logarithms

Keywords: Logarithms, sound, intensity, power of sound, watts, decibel, decibel level, monster truck, logarithm function, unit, conversion of unit, square inch, square meter.

8 0
3 years ago
Point F is on circle C.
Mama L [17]

the answer is 17.5 units

3 0
3 years ago
Read 2 more answers
Use any method to solve the equation. If necessary, round to the nearest hundredth. 9x2 = 17
amid [387]

Answer:

D. 1.37, -1.37

Step-by-step explanation:

9x² = 17

x² = (17 / 9)

x = ± √(17 / 9)

x = ± (√17) / 3

x = 1.37, - 1.37

6 0
2 years ago
5=12×<br> Solve the equations
7nadin3 [17]

Answer:


Step-by-step explanation:

Divide each side by 12

5 divided by 12= 0.4166

check your answer:

0.4166 times 12 is 4.9992

4.9992 when rounded is 5

7 0
3 years ago
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