Answers
Answer:
m < U = 65°
Step-by-step explanation:
Given that m < PTU° = 115°, and that it is a supplement to < UTV, then we can establish that m < UTV = 65° because their angles must add up to 180°.
From this point forward, we'll name < UTV as < T of △VUT.
Now that we have the measure of < T, we can find out the value of the missing angle, < VUT, through the following equation:
180° = m < V° + m < T° + m < U°
180° = m < 50° + m < 65° + x
180° = m < 115° + x
Subtract m < 115 from both sides to isolate x:
180° - m < 115° = m < 115° - m < 115° + x
65° = x
To verify that we have the correct answer, we'll add up all the measures of the three angles of the triangle to see if it sums up to 180°:
180° = m < V° + m < T° + m < U°
180° = m < 50° + m < 65° + m < 65°
180° = m < 50° + m < 65° + m < 65°
180° = 180° (True statement).
Therefore, the measure of the missing angle, < U = 65°
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is the answer to your question
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9514 1404 393
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Answer:
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If you like my answer than please mark me brainliest thanks
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Answers
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-1.7 or 1 7/10
Step-by-step explanation:
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8
= 17
8
Unary minus: -17
8
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4
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4
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8
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4
= -17
8
· 4
5
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10
To divide one fraction by another, invert the second fraction, then multiply.
Bill is 30 years old. He has just started a new job, and he cycles to work. The
probability of having a serious accident on any given day is 10E−4
(and the days are independent of each other as far as cycling accidents are concerned). He works 250 days per year, and will work for 35 years before retiring to North Hatley–unless a cycling accident catches up with him first.
a) What is the probability that he gets through his career without a serious
cycling accident?
b) Thirty years pass. Bill continues to cycle, and has never had a serious
accident. However, the probability of accident on any given day remains 10E−4
Is the probability that he will get through his entire career without an accident the
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Answers
Using the binomial distribution, we have that:
a) 0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].Item a:
The probability is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]
0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
Item b:
The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]
Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
A similar problem is given at https://brainly.com/question/24756209
Choose all the numbers that could be common denominators for 11/12 and 4/5.
Answers
Answer:
60
Step-by-step explanation:
list down the multiples of 12 and 5 to find the answer
HOPE THIS HELPS YOU
60 is the numbers that could be common denominators for 11/12 and 4/5.
What is multiplication?In mathematics, multiplication can be stated as a method of finding the product of two or more numbers. It is one of the important or primary arithmetic operations, that we use in everyday life.
here, we have,
given that,
11/12 and 4/5.
We have to do, the multiples of 12 and 5 to find the answer.
i.e. 12 * 5 = 60
so, 60 is the numbers that could be common denominators
Hence, 60 is the numbers that could be common denominators for 11/12 and 4/5.
To learn more on multiplication click:
brainly.com/question/5992872
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find the values of x,y if (x+y,x-y) = (5,3)
Answers
The values are :
x = 4y = 1solution is in attachment !
