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3 years ago

10

Two cards are chosen at random from a standard deck of 52 cards without replacement. What is the probability of choosing two kin

gs?

1 answer:

BigorU [14]3 years ago

7 0

Answer:

1/221

Step-by-step explanation:

There are 4 kings in a standard deck of cards

P( one king) = number of kings/ number of cards

4/52

= 1/13

Then we do not put the card back. Now we have 3 kings and 51 cards

P(2nd king) = number of kings/ number of cards

=3/51

=1/17

We need to multiply these together

P( one king, 2nd king without replacement) = 1/13*1/17 = 1/221

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A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number

vlada-n [284]

Answer:

C. Every year the number of subscribers is estimated to increase by 8% over the

number of subscribers the year before.

Step-by-step explanation:

Using the formula :

S = 20,000 (1 + 0.08)^y to estimate ;

S = number of subscribers ; y = years

The expression : (1 + 0.08)^y

0.08 = 0.08 * 100% = 8%

(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year

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2 years ago

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3 years ago

Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Fi

Shtirlitz [24]

Answer:

$Area = 49\frac{25}{36}$

Step-by-step explanation:

Given

Tile

$Length = 4\frac{5}{6}$

$Width = 2\frac{1}{3}$

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

$Length = 12\frac{1}{4}$

$Width = 5$

Calculate Area

$Area = Length * Width$

$Area = 12\frac{1}{4} * 5$

$Area = 61\frac{1}{4}$

The area of the tiles is:

$Area = 4\frac{5}{6} * 2\frac{1}{3}$

$Area = \frac{29}{6} * \frac{7}{3}$

$Area = \frac{203}{18}$

$Area = 11\frac{5}{18}$

So, the carpet area is:

$Area = Floor\ Area - Tile\ Area$

$Area = 61\frac{1}{4} - 11\frac{5}{18}$

To improper number

$Area = \frac{245}{4} - \frac{208}{18}$

Take LCM

$Area = \frac{2205 - 416}{36}$

$Area = \frac{1789}{36}$

$Area = 49\frac{25}{36}$

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2 years ago

What is m∠PTR? a. 12 b. 40 c. 50 d. 140

nata0808 [166]

Answer:

d. 140

Step-by-step explanation:

QTR is a 180 degree angle, so we can assume PTR is 140 degrees because (x+28) is (12+28)= 40

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2 years ago

PLEASE, I NEED HELP FOR A CLASS. The length of triangle base is 26. A line, which is parallel to the base divides the triangle i

sasho [114]

Answer:

$DE=18.38$

Step-by-step explanation:

It is given that the length of triangle base is 26 that is BC=26.

A line, which is parallel to the base divides the triangle into two equal area parts.

Therefore, from the given information, $\frac{{\triangle}ADE}{ar ABC}=\frac{1}{2}$ .

Now, since it is given that A line, which is parallel to the base divides the triangle into two equal area parts, thus

$\frac{ar ADE}{arABC}=\frac{1}{2}=\frac{(DE)^{2}}{(BC)^{2}}$

⇒ $\frac{(DE)^{2}}{(BC)^{2}}=\frac{1}{2}$

⇒ $\frac{(DE)^{2}}{(26)^{2}}=\frac{1}{2}$

⇒ $(DE)^{2}=13{\times}26=338$

⇒ $DE=18.38$

7 0

3 years ago