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nata0808 [166]
3 years ago
15

Find the measure of each numbered angle

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

m<1 = 40°

m<2 = 118°

m<3 = 71°

Step-by-step explanation:

✔️m<2 = 180° - 62° (angles in a straight line/supplementary angles)

m<2 = 118°

✔️m<1 = 180° - (118° + 22°) (sum of ∆)

m<1 = 40°

✔️m<3 = 180 - (47 + 62) (sum of ∆)

m<3 = 71°

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A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba
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The probability that the numbers on both balls are odd numbers is \frac{13}{50}

<em><u>Solution:</u></em>

<em><u>The probability of an event is given as:</u></em>

probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}

Given that, bowl contains 25 balls numbered 1 to 25

The sample space is given as;

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 }

Therefore,

Total number of possible outcomes = 25

A ball is drawn and its number is noted. Without replacing the first ball, another ball is drawn.

Numbers on both balls are odd numbers

<em><u>Let us first find the probability that first ball is odd</u></em>

Favorable outcome = odd numbers

Favorable outcome = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

Number of favorable outcomes = 13

Thus, probability is given as:

probability = \frac{13}{25}

Now Without replacing the first ball, another ball is drawn.

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Without replacing means that ball is not put back into bowl

So, sample space = 25 - 1 = 24

Total number of possible outcomes = 25

Number of favorable outcomes = 13 - 1 = 12

Thus, probability is given as:

probability = \frac{12}{24}

<em><u>Probability that the numbers on both balls are odd numbers is:</u></em>

Multiply both the probabilities

\text{ probability of odd } = \frac{13}{25} \times \frac{12}{24} = \frac{13}{50}

Thus, probability that the numbers on both balls are odd numbers is \frac{13}{50}

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