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3 years ago

What is the probability against drawing a 7 from a standard deck of 52 cards ? ( percentage% )

1 answer:

7 0

In a standard deck of cards, there are 48 cards that are not sevens. Therefore the probability of not drawing a seven is 48/52 = 12/13 (92.31%).

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

3 years ago

PLEASE HELP ASAP! IM DOING MY TEST AND CANT FIGURE IT OUT

alekssr [168]

hyy it means ur copying..yes right..xd lol

copycat

7 0

2 years ago

Slope is 1/2 and (4,6) is on the line

AleksandrR [38]

Answer:

y-6=1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=1/2(x-4)

6 0

2 years ago

Read 2 more answers

What is the reduced fraction of 25 and 60?

tino4ka555 [31]

25/60?
That would be 5/12

3 0

2 years ago

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 8 to the number and multi

tia_tia [17]

Hello!

You can break this down

If she added 8 to the number

x + 8

Multiplied the sum by 2

2(x + 8)

it would equal 6

2(x + 8) = 6

The answer is B

Hope this helps!

3 0

3 years ago