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3 years ago

Which transformations will produce similar, but not congruent, figures?

Mathematics

2 answers:

nikitadnepr [17]3 years ago

8 0

Answer:

Trapezoid MNOP is dilated by a scale factor of 12 and then rotated 90° counterclockwise to form trapezoid M"N"O"P" .

Trapezoid MNOP is translated 7 units right and then dilated by a scale factor of 5 to form trapezoid M"N"O"P" .

Trapezoid MNOP is dilated by a scale factor of 18 and then reflected across the x-axis to form trapezoid M"N"O"P" .

Step-by-step explanation:

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Leni [432]3 years ago

7 0

<h3>Answer:</h3>

the first 3 choices are correct

<h3>Explanation:</h3>

Dilation by any factor other than 1 changes the size, so will produce a similar, not congruent, figure. Translation, reflection, and rotation have no effect on similarity or congruence, since those transformations all maintain lengths and angles unchanged.

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3 years ago

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Answer:

Step-by-step explanation:

We would apply the formula for binomial distribution. It is expressed as

P(x = r) = nCr × q^(n - r) × p^r

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From the information given,

p = 10% = 10/100 = 0.1

q = 1 - q = 1 - 0.1 = 0.9

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1)The probability that none fails is

P(x = 0) = 8C0 × 0.9^(8 - 0) × 0.1^0

P(x = 0) = 0.43

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P(x = 1) = 8C1 × 0.9^(8 - 1) × 0.1^1

P(x = 1) = 0.38

3) The probability that four fails is

P(x = 4) = 8C4 × 0.9^(8 - 4) × 0.1^4

P(x = 4) = 0.0046

3) The probability that six fails is

P(x = 6) = 8C6 × 0.9^(8 - 6) × 0.1^6

P(x = 6) = 0.00002268

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