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polet [3.4K]
3 years ago
15

One card is randomly selected from a deck of cards find the odds against drawing a seven

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Answer:

\frac{3}{4}

Step-by-step explanation:

Probability of getting a 7 + Probability of not getting a 7 = 1.

Odds against drawing a 7 = Probability of not getting a 7.

We could calculate the probability of getting a 7 and subtract 1 from it to get the answer.

There a four sevens in a deck of card, one of each kind.

Probability of getting a 7 = $ P(7) = \frac{4}{52} = \frac{1}{13} $

$ \implies P(not \hspace{1mm} getting \hspace{1mm} a \hspace{1mm} 7) = 1 - P(7) $

$ \implies $ P(not getting a 7) $ = 1 - \frac{1}{13} = \frac{12}{13} $

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Simplify (5 x + 1) - (-10 x + 6)
tekilochka [14]

Answer:15x+7

Step-by-step explanation:

First you would see that the -(-10x+6) would turn into 10x+6 meaning that the whole equation would turn into 5x+1+10x+6. Then add the x numbers together and the whole numbers separate. So now your answer should be 15x+7

8 0
3 years ago
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8. which of the following ordered pairs is a solution of the given system of linear equations
V125BC [204]

Answer:

Option D The solution of the system is the point (-3,5)

Step-by-step explanation:

we have

x+y=2 -----> equation A

y=-2x-1 ------> equation B

Solve the system by substitution

Substitute the equation B in equation A and solve for x

x+(-2x-1)=2

-x-1=2

x=-2-1

x=-3

Find the value of y

y=-2x-1

y=-2(-3)-1

y=5

therefore

The solution of the system is the point (-3,5)

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3 years ago
Solve for x.3(3x - 1) + 2(3 - x) = 0
mote1985 [20]
9x-3+6-2x=0
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5 0
3 years ago
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-4(2x + 4) > 8x + 64
romanna [79]

Hello there I hope you are having a great day :)

Your Question, -4(2x + 4) > 8x + 64 Solve for X

1) Expand -8x-16>8x+64

2) Add 16 to both sides -8x-16+16>8x+64+16

3) Simplify -8x>8x+80

4) Subtract 8x from both sides -8x-8x>8x+80-8x

5) Simplify -16x>80

6) Multiply both sides -1 (Reverse the inequality) (-16x) (-1) >80 (-1)

7) Simplify 16x<-80

8) divide both sides by 16   16x/16 <  -80/16

9) Simplify x < -5  

This should be your answer x < -5

Hopefully that helps you :)

5 0
2 years ago
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Anyone know how to solve this??
Tom [10]

Given : \frac{(x^\frac{2}{5})^9\;.\;(x^\frac{-4}{15})}{x^\frac{1}{3}}

\implies {(x^\frac{18}{5})\;.\; (x^\frac{-4}{15})}\;.\;(x^\frac{-1}{3})

\implies x^(^\frac{18}{5} ^-^\frac{4}{15}^-^\frac{1}{3}^)

\implies x^(^(^\frac{54 - 4}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{50}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{10}{3}^)^-^\frac{1}{3}^) = x^(^\frac{9}{3}^) = x^3

\implies x^k = x^3

\implies k = 3

7 0
3 years ago
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