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Solnce55 [7]
3 years ago
9

A deck of playing cards has four suits, with thirteen cards in each suit consisting of the numbers 2 through 10, a jack, a queen

, a king, and an ace. The four suits are hearts, diamonds, spades, and clubs. A hand of five cards will be chosen at random. Which statements are true? Check all that apply.
The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.
Mathematics
2 answers:
Rudik [331]3 years ago
6 0
A. True. There are 52 cards total and you only pick 5. Order doesn't matter.

-------------------------------------------

B. False. Order doesn't matter so you use a combination (instead of a permutation) as choice A shows.

-------------------------------------------

C. False. The answer is roughly 0.000858 as shown by the calculation below

(13/52)*(12/51)*(13/50)*(12/49)*(11/48) = 0.000858

-------------------------------------------

D. False. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495

-------------------------------------------

E. True. See calculation below

(13/52)*(12/51)*(11/50)*(10/49)*(9/48) = 0.000495
this value rounds to roughly 0.0005
adoni [48]3 years ago
3 0

Answer:A & E

Step-by-step explanation:

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Deandre knit a scarf for each of his 8 friends. Each scarf was 57.6in
madreJ [45]
Multiply 57.6 x 8 = 460. 8 and since you have to convert it to feet you divide by 12 which gets you 38.4 feet
7 0
2 years ago
3a² + 11a – 42<br><br>this is factoring in algebra 2 (high school) <br>​
N76 [4]

To factor,

<h2>[[[</h2>

1) First multiply coefficient of a² and constant no,

That is,

3×(-42)=-126

Since the<u> resultant no is negative</u>, you should find two such factors of 126 <u>which</u> <u>will give us the coefficient of a (=11)</u> on subracting those factors.

2) Find the factor

126=2×3×3×7

=18×7

18 and 17 are factors of 126

Also,18-7 =11.

So they are required factors for factoring,

<h2>]]]</h2>

Once you have understood above steps you can solve on your own. All you need to do is split 11 into factors ,take common terms and you will get answer.

<u>Answer:</u>

3a²+11a-42

=3a²+(18-7)a -42

=3a²+18a-7a-42

=3a(a+6) -7(a+6)

=(a+6)(3a-7)

3 0
3 years ago
Solve the equation 2<br> 16x + 20 = 0 to the nearest tenth.
Alenkasestr [34]

Answer:

x ≈ - 1.3

Step-by-step explanation:

16x + 20 = 0

16x + 20 - 20 = 0 - 20

16x = - 20

16x ÷ 16 = - 20 ÷ 16

x = - 1.25

x=-1\frac{1}{4}

- 1.25 rounds to - 1.3

3 0
3 years ago
Read 2 more answers
Rewrite in interval notation:<br> all real numbers that are greater than -22,
Naily [24]

Answer:

Step-by-step explanation:

all real numbers that are greater than -22 : x >  -22

interval notation: ]- 22 ; + ∞  [

3 0
3 years ago
Can someone please help ? (:
ratelena [41]
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.

First, do you remember "vertical angles" ?  They're the pair of opposite angles
that form where lines cross, and they're equal.

-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.

-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.

Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.


See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are.  Angle-7 is 55 degrees, and angle-6 is 60 degrees.

Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.

Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.

So angle-10 is just the rest of the 180 degrees inside the triangle.

Angle-10 = 180 - (115) = 65 degrees



8 0
3 years ago
Read 2 more answers
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