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Reika [66]
3 years ago
10

Triangle QRS has the angle measures shown.

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

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Answer:

The distribution is  

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The sum of the probabilities is:

1

Step-by-step explanation:

In a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.

The next quantity of significance in a binomial model is the number of independent trials, n. In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;

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A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of this conditions is met since p is 0.4 while n is just 6 which is relatively small. Thus we conclude that the distribution is not symmetric but rather skewed.

The sum of the probabilities is any discrete probability distribution such as the bernoulli, binomial, negative binomial, poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.

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Hello there! The answer is C. 7/9.

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