((x - 4) + (x + 2)) * 2x – 2 x2 – 8 x2 – 2x – 8 x2 + 2x

You are dealt two cards successfuly without replacement from a shuffled deck of 52 playing card. Find the probability that first

katen-ka-za [31]

The simplified expression is $(\frac{4}{663})$

Step-by-step explanation:

Here, the total number of cards in a given deck = 52

let E : Event of drawing a first card which is King

Total number of kings in the given deck = 4

So, $P(E) = \frac{\textrm{The total number of king}}{\textrm{The total number of cards}}$ = $\frac{4}{52} = (\frac{1}{13} )$

Now, as the picked card is NOT REPLACED,

So, now the total number of cards = 52 - 1 = 51

Total number of queen in the deck is same as before = 13

let K : Event of drawing a second card which is queen

So, $P(K) = \frac{\textrm{The total number of queen}}{\textrm{The total number of cards}}$ = $(\frac{4}{51} )$

Now, the combined probability of picking first card as king and second as queen = P(E) x P(K) = $(\frac{1}{13}) \times(\frac{4}{51}) = (\frac{4}{663} )$

Hence, the simplified expression is $(\frac{4}{663})$

6 0

3 years ago

Correct answer gets brainliest and 5 stars

Serggg [28]

Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

3 0

3 years ago

2 units

velikii [3]

80 square units
Divide the figure into 4 small triangles, 2 rectangles, and one big rectangle on the center.

Area of ONE small triangle:
1/2 • 2 • 2 = 2 square units
Multiply that by 4 because we have 4 small triangles: 2 • 4 = 8 square units

Area of ONE small rectangle:
2 • 6 = 12 square units
Multiply that by 2 bcos we have 2 of those rectangles: 12 • 2 = 24 square units

Area of the big rectangle on the center:
6 • 8 = 48 square units

ADD the area of the big rectangle, 4 small triangles, and 2 small rectangles:
48 + 24 + 8 = 80

FINAL ANSWER: 80 square units

BRAINLIEST WILL BE APPRECIATED IF I GOT THIS RIGHT (pls comment me back if my answer was correct)
Have a nice day -SpaceMarsh

5 0

3 years ago

Pablo can drive 22 times as fast as miguel can ride his bicycle. if it takes miguel 33 hours longer than pablo to travel 8484 mi

joja [24]

Pedro can ride his bike at 28 miles per hour

8 0

3 years ago

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

xz_007 [3.2K]

The value of x is 5/6 and y is 8/5.

Step-by-step explanation:

Given,