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zysi [14]
3 years ago
8

Two cards are drawn from a regular deck of 52 cards, without replacement. what is the probability that the first card is an ace

of clubs and the second is black?
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
Type this into your calculator (1/52)×(25/51) then convert to a percentage or fraction of leave as a decimal if that's what it asks for.

There is only 1 ace of clubs and it is black, so the first probability is 1/52. One ace of clubs out of 52 total cards.

Next, you keep the first pick and want a black card second. You subtract the one card you took from the total deck, leaving you with 51. (btw With replacement, you would simply keep the total as 52) There are 26 red cards and 26 black cards in a deck. It would be 26/52, but since the ace of clubs is black, it is 25/51.

Finally, you multiply both probabilities to get the overall probability (lol weird way of saying that, but I hope you get what I mean).

Wanted/Total
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If f (x) = x and g(x) = 3x + 1 are two real functions. Find (f + g) (x)
romanna [79]

Answer:

4x + 1

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= x + 3x + 1 ← collect like terms

= 4x + 1

4 0
3 years ago
Use the properties of quadrilaterals to complete the statements. A has exactly one pair of parallel sides. A must have two pairs
vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

             A ....... must have two pairs of adjacent sides congruent.

             A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

  • A trapezoid is a quadrilateral with exactly one pair of parallel sides.
  • A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
  • A rhombus is a parallelogram with four congruent sides.
  • A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.

5 0
3 years ago
James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
tester [92]

Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

I =  \frac{PRT}{100}

200 =  \frac{4000 \times 5 \times T}{100}

20000 = 20000T

T = 1

3 0
3 years ago
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poizon [28]
The answer is -4,0 4,8 because u would solve for one variable in one of the equations and then substitute the result into the other
5 0
3 years ago
1. How many groups of days are in 1 week?
wolverine [178]

Answer:

(14 groups)

14 divided by 7 = 2

Therefore 14 is your answer

Step-by-step explanation:

lol that's all I got

3 0
3 years ago
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