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3 years ago

PLEASE I NEED HELP WITH MATH . EASY 9 POINTS

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

I'm not sure, but I think the answer is every point is moved so that it is three times as far from the y-axis. A triangle is congruent to another triangle if it has the same shape and size as the triangle. As long as every point is moved the same distance, the triangle should still be congruent to the figure shown. If you multiply each point by three times as far as it is from the y-axis, the points won't be moved the same amount and then it isn't congruent.

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Among the contestants in a competition are 46 women and 23 men. If 5 winners are randomly selected, what is the probability that

eimsori [14]

Answer:

When 5 winners are randomly selected, the probability that they are all men is 0.003.

Step-by-step explanation:

Among the contestants in a competition are 46 women and 23 men.

Total persons are = $46+23=69$

When one winner is chosen, there are 68 people left, when second winner is chosen there are 67 people left and so on.

So, the probability that they are all men is given by:

$\frac{23}{69} \times\frac{22}{68} \times\frac{21}{67} \times\frac{20}{66} \times\frac{19}{65}$

= $\frac{4037880}{1348621560}$ = 0.002999 ≈ 0.003

Therefore, when 5 winners are randomly selected, the probability that they are all men is 0.003.

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Answer:

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Step-by-step explanation:

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4 years ago

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Which number produces a rational number when added to 1/5?

dimaraw [331]

Answer:

1/5 is a rational number

Step-by-step explanation:

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3 years ago

Which simplifications of the powers of i are correct? There may be more than one correct answer.

fredd [130]

$\bf i^2=-1\qquad\qquad i^3=-i\qquad \qquad i^4=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ i^{22}\implies i^{(4\cdot 5)+2}\implies i^{4\cdot 5}i^2\implies (i^4)^5 i^2\implies 1^5(-1)\implies -1~\dotfill \bigotimes \\\\\\ i^{11}\implies i^{(2\cdot 5)+1}\implies (i^2)^5 i\implies (-1)^5(i)\implies -i~\dotfill \checkmark$

$\bf i^{21}\implies i^{(4\cdot 5)+1}\implies (i^4)^5 i\implies 1^5(i)\implies i~\dotfill \checkmark \\\\\\ i^{12}\implies i^{3\cdot 4}\implies i^3 i^4\implies (-i)(1)\implies -i\dotfill \bigotimes \\\\\\ i^{20}\implies i^{4\cdot 5}\implies (i^4)^5\implies 1~\dotfill \checkmark \\\\\\ i^{26}\implies i^{(4\cdot 6)+2}\implies (i^4)^6 i^2\implies 1^6(-1)\implies -1\dotfill \checkmark \\\\\\ i^{27}\implies i^{(4\cdot 6)+3}\implies (i^4)^6 i^3 \implies 1^6(-i)\implies -i\dotfill \bigotimes$

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3 years ago