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3 years ago

10

You are trying to figure out how many license plates can be created from the digits 0 through 9. The license plate has 6 numbers

, and none can be repeated. How many license plates can be created?

1 answer:

Vladimir [108]3 years ago

7 0

Answer:

1

Step-by-step explanation:

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What is k in this proportional relationship?

Zolol [24]

Answer:

60

Step-by-step explanation:

K is the constant of proportionality or unit rate

(x, y)

(0, 0)

(2, 120)

(3, 180)

(4, 240)

120/2=60

180/2=60

240/2=60

The constant of proportionality or unit rate is 60

7 0

3 years ago

Read 2 more answers

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

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3 years ago

Anyone know this? Will give brainiest!

GrogVix [38]

The answer to this is D!!!!

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3 years ago

What is the equation between the points (2,3) and (-2,6)

zlopas [31]

The equation between the points (2, 3) and (-2, 6) is “y = -3/4x + 9/2.

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3 years ago

REALLY confused easy question plz answer it will take 5 seconds

leonid [27]

Corresponding angles

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3 years ago