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rewona [7]
3 years ago
12

What is the measure of angle 1?

Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

∠1 and 170° form a straight angle and are supplementary, thus

∠1 = 180° - 170° = 10°

∠1 and ∠3 are vertical angles and congruent , thus

∠3 = 10°

∠2, 15° and ∠3 form a straight angle and sum to 180°, thus

∠2 = 180° - 15° - 10° = 155°

Thus

∠1 = 10°, ∠2 = 155°, ∠3 = 10°

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25% of all who enters a race do not complete. 30 haveentered.
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Answer:

The probability that exactly 5 are unable to complete the  race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the  race?

So, We will use binomial

Formula : P(X=r) =^nC_r p^r q^{n-r}

p is the probability of success i.e. 25% = 0.25

q is the probability of failure =  1- p  = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the  race

n = 30

r = 5

P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}

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P(X=5) =0.1047

Hence the probability that exactly 5 are unable to complete the  race is 0.1047

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