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3 years ago

what's the probability and the deck of cards have 52 cards what's the probability of picking a black card

Mathematics

2 answers:

Crank3 years ago

8 0

N(S) = 52
n(A) = 2 * 13 = 26 black cards
$P(A) =\frac{n(A)}{n(S)}=\frac{26}{52}=\frac{1}{2}$

olga nikolaevna [1]3 years ago

4 0

There is a 26 percent chance of picking one since there are only 2 colors black and red

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7-3x = -x+1<br> Simplify this equation

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Answer:

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Step-by-step explanation:

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3 years ago

Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

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Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

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$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

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$-10x-20+20= 10+20$

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$(10x+20)= 10$

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$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

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now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

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$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

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$|0+20|\leq 10$

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3 years ago

If point Q(3,-4) is rotated +270° about the origin, what are the coordinates of Q?

erica [24]

Answer:

$Q' =(-4,-3)$

Step-by-step explanation:

Given

$Q = (3,-4)$

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

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Where:

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$Q' =(-4,-3)$

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Alexxx [7]

Answer:

Step-by-step explanation:

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so, 8 x 2 = 16

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