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2 years ago

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.

Mathematics

1 answer:

AveGali [126]2 years ago

8 0

Answer:

2/13

Step-by-step explanation:

For a deck of card

Total cards = 52

Total spade = 4

Total diamond = 4

pr(drawing a spade) = number of spade/total cards

pr(drawing a spade) = 4/52 = 1/13

pr(drawing a diamond) = 4/52 = 1/13

Pr(diamond or a spade) = 1/13 + 1/13 = 2/13

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Pepsi [2]

Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6

a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
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b) The dimensions of the package with largest volume are
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2 years ago

Please help me solve and you'll get a brainlist

jasenka [17]

Y=4x+1
Let y=0
0=4x+1
4x=-1
x=-1/4

Let x=0
Y=4*0+1
Y=0+1
Y=1

Therefore, the ordered pair is (-1/4, 1)

4 0

2 years ago

Find an equation of the circle that has center (-1,2) and passes through (5,-4).

kherson [118]

General equation for a circle
(x - a)² + (y - b)² = r²
with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius

Determine r² by substituting the points into the general equation
(x - a)² + (y - b)² = r²
(5 - (-1))² + (-4 - 2)² = r²
(5 + 1)² + (-6)² = r²
6² + 36 = r²
36 + 36 = r²
72 = r²

Determine the equation of the circle
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 72
(x + 1)² + (y - 2)² = 72 (This is the equation of the circle)

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2 years ago

2 divided by -12 what is the answer?

Strike441 [17]

Answer:

-1/6

Step-by-step explanation:

When dividing 2 by -12 you would use 2 as the numerator and -12 as the denominator and then simplify it by dividing both by two to end up with -1/6

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3 years ago

Can someone help me with my math assignments I’ll pay u 30$

finlep [7]

through venmo or what?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.