Which of the following is the probability of drawing a black card or a face card from a standard deck of cards?1/2
19/26
3/26
8/13

Answers

Answer 1

Answer:

The required probability = 8/13 since option D is the correct answer.

What do we mean by probability?

The probability of any outcome is the ratio of the number of favorable outcomes to the total number of possible outcomes.

How do we calculate the probability in the given question?

A standard deck of cards contains 52 cards.

∴ Total number of possible outcomes n(S) = 52

Number of black cards in a standard deck = 26

Number of face cards in a standard deck = 12

But, black face cards have already been counted in the black cards, so we subtract the number of black face cards = 6.

∴ Number of favorable outcomes n(A) = 26 + 12 - 6 = 32

∴ Probability (A black card or a face card) = n(A)/n(s) = 32/52 = 8/13

∴ The required probability = 8/13. The correct option is D.

Learn more about Probability at

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Answer 2

Answer: 1) Well, we know there are 52 cards in a deck.
So, we would divide 52 by 2 because half of the cards are black, half red. So, that means the fraction would have to be of half of 52. 1/2 would be the correct fraction for getting a black card out.
2) There are 12 faced cards in one deck. (That is about as much as I for sure know)

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Which statement best explains why the graphed relation is not a function? A) There are infinitely many points on the graph.
B) The domain of the graph does not include all real numbers.
C) There are points on the graph with the same x-coordinate but different y-coordinates.
D) The graphed relation is not a line.

Answers

Answer:

Step-by-step explanation:

Because you can't have multiple x-values. You can only have multiple y-values.

How many cups of sugar is needed for 5 gallons

Answers

Try doing 16 times 5. Since there are 16 US customary cups in a gallon.

A camera is placed in front of a hyperbolic mirror. The equation of the hyperbola that models the mirror is , where x and y are in inches. The camera is pointed toward the vertex of the hyperbolic mirror and is positioned such that the lens is at the nearest focus to that vertex.

Answers

Answer:

The lens is 1 inch from the mirror

Step-by-step explanation:

* Lets revise the equation of the hyperbola with center (0 , 0) and

transverse axis parallel to the y-axis is y²/a² - x²/b² = 1

- The coordinates of the vertices are (0 , ± a)

- The coordinates of the co-vertices are (± b , 0)

- The coordinates of the foci are (0 , ± c) where c² = a² + b²

* Lets solve the problem

∵ The equation of the hyperbola is y²/16 - x²/9 = 1

∵ The form of the equation is y²/a² - x²/b² = 1

∴ a² = 16

∴ a = √16 = 4

∵ The coordinates of the vertices are (0 , ± a)

∴ The coordinates of the vertices are (0 , 4) , (0 , -4)

∴ b² = 9

∴ b = √9 = 3

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = √25 = 5

∵ The coordinates of the foci are (0 , ± c)

∴ The coordinates of the foci are (0 , 5) , (0 , -5)

∵ The camera is pointed towards the vertex of the hyperbolic mirror

which is (0 , 4) and is positioned such that the lens is at the nearest

focus to that vertex which is (0 , 5)

∴ The distance between the lens and the mirror equal the distance

between the vertex and the focus

∵ The vertex is (0 , 4) and the nearest focus is (0 , 5)

∴ The distance = 5 - 4 = 1 inch

* The lens is 1 inch from the mirror

Answer:

Step-by-step explanation:

I answered this in edmentum and got this correct

Which sample size out of a population of 1,000 is most likely to lead to a valid conclusion?50
100
150
200

Answers

200, because the more samples you have the more correct you will be.

Answer:

Step-by-step explanation: 200 more people better accuracy

What does interior angle A of the polygon in the figure equal?

Answers

Based on the attached image, the interior angle A of the polygon in the figure equal 110 degrees. If you can see the image the angle A is equal to the angle on the other side. The angle A is an example of obtuse angle because has the size of more 90 degrees and less than 180 degrees. All the angles in the image are obtuse except the one angle in the top that measures 50 degrees.

5 cm 13 cm and 12 cm is a right triangle