There are 4 kings, 4 queens, 4 jacks, and 4 aces, corresponding to these suits. Kings, queens, and jacks are called face cards. If you are not familiar with what these cards look like, below is an image: You shuffle the deck, draw out a card at random, and note whether the card is a face card (either a king, queen, or jack) or not. You then put the card back, shuffle the deck, and draw again. You repeat this process a few more times, for a total of 17 trials. What is the expected number of face cards drawn? Round your answer to two (2) decimal places.

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Answer 1

Answer:

The expected number of face cards drawn in 17 trials with a number rounded to two is 3.92.

In each trial, the probability of drawing a face card is 3/13, since there are 12 face cards in a standard deck of 52 cards. The expected value of a random variable is the average of the values of each outcome. In this case, the outcome is either drawing a face card or not drawing a face card.

The value of drawing a face card is 1 since it is a success. The value of not drawing a face card is 0 since it is a failure. So, the expected number of face cards drawn in 17 trials is 3.92, calculated by the number of face cards drawn in 17 trials as 17 * (3/13) = 3.92.

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Through what angle does the minute hand of a clock turn in 12 minutes of time?

Answers

A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.

Which answer is correct?

Answers

(x-p)(x-q)
x^2 -qx -px + pq
x^2 -(q+p) x +pq
so the constant here is the product of p & q
the answer is A

b is the answer
hope this helped

The number 2 in the expression 5 +2x is called the coefficient of x.how does changing the coefficient to 6 change the meaning of the expression

Answers

Answer:

would that be 12

Step-by-step explanation:

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg in inches?

Answers

Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².

Given

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches.

$c^2 = 20 in$

$a^2 = 15 in$

$b^2 = Unknown$

------------ Calculations

$b^2 = c^2 - a^2$

$b^2 = c^2(20) - a^2(15)$

$b^2 = 400 - 225$

$b^2 = 175$

$b = √(175)$

$b = 13.2287565553$

Which point is a solution to the equation 2x − y = 4? a. (0, 4) b. (1, 2) c. (−3, −10) d. (−3, 10)

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Answer:

The point that is a solution to the equation 2x - y = 4 is option b: (1, 2).

TRUE OR FALSE: −3 is a solution for the compound inequality b ≤ 4 and b > −1.

Answers

- 3 is a solution that satisfies both inequalities.So, the correct answer is True.The compound inequality consists of two separate inequalities connected by "and."

1.b ≤ 4:This means that "b" is less than or equal to 4.

2.b > −1:This means that "b" is greater than -1.

If we consider a number line, the values that satisfy both conditions are those that are greater than -1 but also less than or equal to 4. The value -3 falls within this range. It is greater than -1 and also less than 4.

Therefore, -3 is a solution that satisfies both inequalities, making the statement true.

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Answer:

TRUE

hope it's right

Step-by-step explanation:

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