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ikadub [295]
3 years ago
13

Two cards are drawn from a deck of 52 playing cards. The first card is replaced into the deck before the 2nd card is drawn. What

is the probability drawing Ace of Spades and any King? ​
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

1/676

Step-by-step explanation:

There are 52 cards

P(Ace of spades) = Number of aces of spades / total = 1/ 52

The replace the card

There are 52 cards

There are 4 kings

P(king) = number of kings / total = 4/52 = 1/13

P( ace of spades , replace, any king) = 1/52 * 1/13 = 1 /676

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A foreign country uses the stellar as its currency. Before a trip to that​ country, Jon wants to exchange ​$1,200 to stellars. W
ad-work [718]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the conversion rate for both banks is not given.

However, I'll make the following assumptions.

Bank A: $80 for 392 stellars

Bank B: $50 for 240 stellars

Solving (a) Bank with better conversion rate.

First, we need to calculate the unit rate.

Unit Rate = Dollar/Stellar

For Bank A:

Unit Rate = 392/80

Unit Rate = 4.9 Stellars to $1

For Bank B:

Unit Rate = 240/50

Unit Rate = 4.8 Stellars to $1

The bank with higher unit rate has a better exchange rate.

Hence, bank A has a better exchange rate.

Solving (b): How much more will he get if $1200 is exchanged

For Bank A:

$1 = 4.9 Stellars

Multiply both sides by 1200

$1 * 1200 = 4.9 * 1200 Stellars

$1200 = 5880 Stellars

For Bank B:

$1 = 4.8 Stellars

Multiply both sides by 1200

1200 * $1 = 4.8 * 1200 Stellars

$1200 = 5760 Stellars

Calculate their difference

Difference = 5880 - 5760

Difference = 120 Stellars

Hence, he'll get 120 more Stellars if he exchanged with bank A.

8 0
3 years ago
What is the sum of the ten thousand digit and the million's digit of 1,234,567,890
zloy xaker [14]

Answer: The ten thousand digit is 6.  And the millions digit is 4. So the answer is 10.

7 0
2 years ago
Geometry Does a SSSS congruence relationship exist for parallelograms? If so explain why. If not, create a counter-example Geome
Lady_Fox [76]

We need to notice that SSSS does not exist as a method to prove that parallelograms are congruent

Counterexample

As we can see we have the same measure of the side of the intern angles of the figures are different therefore we can't use SSSS to prove congruence

3 0
1 year ago
An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situati
Nostrana [21]

Answer:

Question

An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situation using money as the context. Then, evaluate the expression and interpret the result in terms of the situation. Here's an example.

The following situation is modeled by the expression -24.50 + 100.00: Jonathan overdrew his checking account by $24.50. He then transferred $100.00 from his savings account to his checking account. His new checking account total is $75.50.

Make sure to use complete sentences in your answers.

1) $8.15 + $11.99

2) $20 - $18.04

3) 7($1.45)

4) 42.08 / 4

It's too short. Write at least 20 characters to explain it well.

8 0
3 years ago
Is this correct pls help
Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \pi r^2h (where r is the radius and h is the height)

Radius = \dfrac12 diameter ⇒ r=\dfrac72=3.5

⇒ volume of round cake pan = \pi \times 3.5^2 \times 2=24.5\pi

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = wlh (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0
2 years ago
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