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Gelneren [198K]
3 years ago
12

In a standard deck of cards there are four suits Spades, clubs, hearts and Diamonds. Each suit has one each of 13 cards: ace, ki

ng, queen, Jack, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
if you event A is choosing a king, event B is choosing a heart, and event C is choosing a jack, which Venn diagram could represent this description.

I showed an image of the correct answer. Could someone explain why my answer was wrong.

Mathematics
2 answers:
sveta [45]3 years ago
5 0

The events A and C are mutually exclusive - if you draw 1 card, it's impossible for the card to be both a king and a jack. So in the Venn diagram A and C should have no overlap.

But both kings and jacks can still be of the hearts suit, which means (A and B) and (B and C) do overlap.

Nookie1986 [14]3 years ago
3 0

Answer:

it's B on edge

Step-by-step explanation:

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Suppose that you borrow $30,000 for four vears at 8% for
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Answer:

$41269.983

rounded:

$41,269.98

Step-by-step explanation:

well you begin with the equation a=p(1+r/n)^{nt}

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when you plug all of that in a calculator your receive $41269.983

4 0
2 years ago
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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The area of four walls of a rectangular room is 96m2 and its height is 4m.
Delicious77 [7]

Answer:

<h2>The answer is 56 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

To find the area we must first find the length of the rectangle using it's area.

That's

Area = length × height

From the question

Area = 96 m²

height = 4 m

So we have

96 = 4l

Divide both sides by 4

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Now we have

Perimeter = 2(24) + 2(4)

= 48 + 8

We have the final answer as

<h3>56m</h3>

Hope this helps you

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