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2 years ago

What is the counterclockwise rotation shown below? 13 pts.

Mathematics

1 answer:

AveGali [126]2 years ago

6 0

Answer:

<u>270° around the origin</u>

Step-by-step explanation:

As shown at the graph

ΔABC is translated to ΔA'B'C'

A(0,3) , B(-2,2) , C(-1,1)

A'(3,0) , B'(2,2) , C'(1,1)

So, if the coordinate of the pre-image is (x,y)

The coordinate of the image will be (y, -x)

Which mean the rule will be (x,y)→(y,-x)

The previous rule is the rule of rotation 270° counterclockwise

So, the answer is <u>270° around the origin</u>

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Factories A, B and C produce computers. Factory A produces 4 times as manycomputers as factory C, and factory B produces 7 times

Elina [12.6K]

Answer:

The probability is $P(A') = 0.485$

Step-by-step explanation:

Let assume that the number of computer produced by factory C is k = 1

So From the question we are told that

The number produced by factory A is 4k = 4

The number produced by factory B is 7k = 7

The probability of defective computers from A is $P(A) = 0.04$

The probability of defective computers from B is $P(B) = 0.02$

The probability of defective computers from C is $P(C) = 0.03$

Now the probability of factory A producing a defective computer out of the 4 computers produced is

$P(a) = 4 * P(A)$

substituting values

$P(a) = 4 * 0.04$

$P(a) = 0.16$

The probability of factory B producing a defective computer out of the 7 computers produced is

$P(b) = 7 * P(B)$

substituting values

$P(b) = 7 * 0.02$

$P(b) = 0.14$

The probability of factory C producing a defective computer out of the 1 computer produced is

$P(c) = 1 * P(C)$

substituting values

$P(c) = 1 * 0.03$

$P(b) = 0.03$

So the probability that the a computer produced from the three factory will be defective is

$P(t) = P(a) + P(b) + P(c)$

substituting values

$P(t) = 0.16 + 0.14 + 0.03$

$P(t) = 0.33$

Now the probability that the defective computer is produced from factory A is

$P(A') = \frac{P(a)}{P(t)}$

$P(A') = \frac{ 0.16}{0.33}$

$P(A') = 0.485$

3 0

3 years ago

Round .593 to the nearest tenths place value.

Over [174]

Answer:

Step-by-step explanation:

The tenths place is on the other side of the decimal so you have to star from 3. if the 3 was the number 5 or higher you would round the 9 up to ten, but since it is lower you leave the 9 alone and then move on to the next number which is 5. The 5 would be rounded up to 6 because the 9 next to it is higher than 5. So far you have 0.6. looking at the 0 we would round up to 1 because the 6 is higher than 5. the result is 1.0 or 1.

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2 years ago

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trapecia [35]

Answer:

Step-by-step explanation:

let ∠GEF=x

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