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ddd [48]
3 years ago
10

You have a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each s

uit consists of cards numbered 2-10, a jack, a queen, a king, and an ace.
You select one card at random from the deck. Let A be the event that the randomly selected card is a diamond and let B be the event that the card is a king. Based on this information, answer the following questions.

What is P(A) the probability that the card is a diamond?

What is P(B) the probability that the card is a king?

What is P(A and B) the probability that the card is a diamond and a king?

What is P(A | B), the conditional probability that the card is a diamond given that it is a king?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0

Answer:

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen

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Diff. / Original amount= % of increase or decrease
V125BC [204]

Answer:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

Step-by-step explanation:

Percentage Increase:

Let there be an original number. If it increased to a certain value we can calculate the percentage increase value with the help of following formula:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

Percentage Decrease:

Let there be an original number. If it decreases to a certain value we can calculate the percentage decrease with the help of following formula:

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

6 0
4 years ago
Average Inventory The Yasuko Okada Fragrance Company (YOFC) receives a shipment of 400 cases of specialty perfume early Monday m
Ksenya-84 [330]

Answer:

Step-by-step explanation:

At the end of any given business day, CFFC has 400-80t cases of perfume on hand, where t = 1 represents Monday, t = 2 represents Tuesday and so on. The inventory becomes nil on Friday evening. So,

The values of a and b are

a = 0

b = 5

Using the formular for average value, we have the average value as

\frac{1}{5-0}\int\limits^5_0 {(400-80t)}dt\\\\=\frac{1}{5}(400t-\frac{80t^2}{2})\limits^5_0\\\\=\frac{1}{5}(400t-40t^2)\limits^5_0\\\\=\frac{1}{5}(2000-1000)\\\\=200

Average inventory is 200 cases

8 0
3 years ago
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of mov- ing violatio
olga2289 [7]

Answer:

a) E(Y) = \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:

E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60

b) E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1

And then the expected value would be:

E(100Y^2) = 100*1.1= 110

Step-by-step explanation:

We assume the following distribution given:

Y       0       1        2        3

P(Y) 0.60 0.25  0.10  0.05

Part a

We can find the expected value with this formula:

E(Y) = \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:

E(Y) =0*0.60 +1*0.25 +2*0.1 +3*0.05 = 0.60

Part b

If we want to find the expected value of 100 Y^2 we need to find the expected value of Y^2 and we have:

E(Y^2) = \sum_{i=1}^n Y^2_i P(Y_i)

And replacing we got:

E(Y^2) =0^2*0.60 +1^2*0.25 +2^2*0.1 +3^2*0.05 = 1.1

And then the expected value would be:

E(100Y^2) = 100*1.1= 110

4 0
3 years ago
molly is painting a model house and needs to know how much paint she will need. she knows the surface area of the prism is 216 s
Andrej [43]

Answer:

Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.

Part 2) The dimensions of this surface are 6 in x 6 in.

Part 3) Molly needs to paint 228 square inches.

Step-by-step explanation:

Part 1) Which surface is shared by the two solids?

we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2)  What are the dimensions of this surface?

The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in

Part 3) what is the area molly needs to paint?

we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches

8 0
3 years ago
A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge
zheka24 [161]

answer

c = 20.65 + 0.65M


8 0
3 years ago
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