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3 years ago

What is the rule for the translation?

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

This question is a bit unusual. Usually you translate across the x or y axis. This question does not.

Begin by drawing a vertical line parallel to the y axis.

The intercept point is (1/2,0) so the equation of the line is x = 1/2. x is 1/2 for every y value that is (1/2,y)

The rule is that ABC is translated horizontally across a line of x = 1/2

A' is 2 1/2 units to the right of x = 1/2

A is 2 1/2 units to the left of x = 1/2

The y axis is ignored.

nordsb [41]3 years ago

4 0

Answer:

Horizontal translation 5 units: f(x-5)

Step-by-step explanation:

g(x) = f(x-5)

original (x , y) -> translated (x+5 , y)

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3 years ago

What is the probability of drawing the compliment of a king or a

inna [77]

Answer:

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

Step(i):-

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

$n( E_{1} ) = 4 _{C_{1} } = 4$

Let E₂ be the event of the card drawn being a queen

$n( E_{2} ) = 4 _{C_{1} } = 4$

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

step(ii):-

The probability of drawing of a king or a queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

$= \frac{4}{52} + \frac{4}{52}$

P( E₁ U E₂ ) = $\frac{8}{52}$

step(iii):-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards

$P(E_{1}UE_{2}) ^{-} = 1- P(E_{1} U E_{2} )$

$P(E_{1}UE_{2}) ^{-} = 1- \frac{8}{52}$

$P(E_{1}UE_{2}) ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846$

Conclusion:-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

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