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sdas [7]
3 years ago
7

One angle is 2 more than three times its complement. What is the measure of the smaller angle.

Mathematics
1 answer:
hodyreva [135]3 years ago
3 0
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
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V=A*h*1/3 - equation to count volume of the pyramid
A=93.5 sq ft
h=6 ft
V=93.5*6*1/3=93.5*2=187 cubic ft
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Which of the following algebraic expressions could represent thirty less than one-half the value of x?
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Answer: x/2-30

Step-by-step explanation: half= divide by 2 30 less= minus 30

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audrey has the following t-shirts in her dresser drawer. she will randomly choose one t-shirt. then she will replace it and choo
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Answer: um probably 50/50 since she cant decide but idk

Step-by-step explanation:

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3 years ago
A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi
iogann1982 [59]

Answer:

P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]

And if we find the individual probabilities we got:

P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687

P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062

P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835

P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362

And if we replace we got:

P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=12, p=0.2)

And we want to find this probability:

P(X > 3)

And we can use the complement rule and we got:

P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]

And if we find the individual probabilities we got:

P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687

P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062

P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835

P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362

And if we replace we got:

P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543

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its B

Step-by-step explanation:

7 0
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