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VashaNatasha [74]

2 years ago

9

You are dealt five cards from a standard and shuffled deck of playing cards. Note that a standard deck has 52 cards and four of

those are kings. What is the probability that you will have at most three kings in your hand?

1 answer:

Gre4nikov [31]2 years ago

8 0

Answer:

((4 choose 3)·(48 choose 2) + (4 choose 4)·(48 choose 1)) / (52 choose 5) = 19/10829 = 0.0018

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PLEASE HELP<br> ILL MARK AS BRAIN LEIST!

Talja [164]

Answer:

C. 707 cm^2

Step-by-step explanation:

8 0

2 years ago

Find the length of the third side. If necessary, round to the nearest tenth

Lilit [14]

$\huge\bold{Given:}$

Length of the base = 8

Length of the hypotenuse = 17

$\huge\bold{To\:find:}$

The length of the third side '' $x$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\purple{x\:=\: 15}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + (8)² = (17)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + 64 = 289

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 289 - 64

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 225

$\longrightarrow{\blue{}}$ $x$ = $\sqrt{225}$

$\longrightarrow{\blue{}}$ $x$ = $15$

Therefore, the length of the missing side $x$ is $15$ .

$\huge\bold{To\:verify :}$

$\longrightarrow{\green{}}$ (15)² + (8)² = (17)²

$\longrightarrow{\green{}}$ 225 + 64 = 289

$\longrightarrow{\green{}}$ 289 = 289

$\longrightarrow{\green{}}$ L.H.S. = R. H. S.

Hence verified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}$

3 0

2 years ago

School A has 480 students and 16 classrooms. School B has 192 students and 12 classrooms.

boyakko [2]

Answer:96

Step-by-step explanation:

A; 480/16 = 30 students per classroom

B: 192/12 =16 students per classroom

we need x such that $\frac{480-x}{16} = \frac{192+x}{12}$

which means

(480-x )* 12 should be equal to (192+x) * 16

5,760 - 12x = 3,072+16x

5,760 - 3,072 = 12x + 16x

2,688 = 28x

x = 96

3 0

3 years ago

Jonathan bought a Gucci belt in Chinatown for $35.00. The belt was on sale for ⅓ off the regular price. Then, an additional 8% w

leonid [27]

Answer:

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount Jonathan paid for the belt = $ 35

Discount = 1/3 off the regular price

Coupon = additional 8% = 0.08

2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.

We assume the question is asking for the original price of the belt, then we make this calculation:

Amount Jonathan paid for the belt = (Original price - Discount) - Coupon

Replacing with the values we know:

Original price = x

35 = (x - 1/3x) - 0.08x

35 = 2/3x - 0.08x

35 = 0.67x - 0.08x

35 = 0.59x

x = 35/0.59

x = 59.32

<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>

4 0

3 years ago

Re-Write<br><br> 51/40<br> as a decimal.

kati45 [8]

Answer:

1.275

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers