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Sonbull [250]
3 years ago
9

By the Interior Angles Theorem, if Angle A is 25° and Angle B is greater than 51° but less than 57°, what are the possible measu

rements for Angle C? A) 73 < C < 104 B) 98 < C < 129 C) 98 < C < 104 D) 123 < C < 129
Mathematics
2 answers:
lara [203]3 years ago
4 0

Answer:

THE CORRECT ANSWER IS C

Step-by-step explanation:

BARSIC [14]3 years ago
3 0
98 < C < 104

180 - 25 - < C < 180 - 25 - 51
98 < C < 104

Measures the interior angles of a triangle sum to 180
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According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and
natulia [17]
<span>(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
​(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
​(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
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6 0
3 years ago
Simplify this equation (3√2)²​
Scilla [17]

Answer:

18

Step-by-step explanation:

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3 years ago
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abruzzese [7]

The answer you will be dividing by is 4. hope this helps

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Neko [114]

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3 years ago
Read the following description of a relationship: Anne's shower uses 15 liters of water per minute. Let m represent the number o
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Answer:

105

Step-by-step explanation:

m= minutes

Minutes*15= Whole water

m*15=w

7*15=105

3 0
3 years ago
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