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Leona [35]
2 years ago
8

Given right triangle QRS, what is the value of sin(30°)?

Mathematics
2 answers:
Eva8 [605]2 years ago
8 0

Answer:

1/2

Step-by-step explanation:

Rudiy272 years ago
3 0

(Is this the question? In the pic above)

Sin of an angle os the side opposite over it divided by the hypotenuse.

Sin = opposite/hypotenuse

Sin = 5/10

Sin = 1/2

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2 ways: make a little divide tree based on how many times you can divide it. Like you have sqrt88 you know it can divide by 2. So its 2 and 44, and 44 can be broken to 2 and 22, then 2 and 11. 11 can’t be divided anymore.

Now choose numbers that are the same and pair them together. These go outside the radicand. You had three 2’s and one 11. So a 2 would go on the outside and the remaining 2 and 11 would be multiplied leaved 2sqrt22.

Another way is to divide by the highest squared number. Taking sqrt88 again. 4 would be the highest squared number. So 88 would be 4 and 22, then 2 and 11. Since you have a 4 which is a perfect square you put that squareroot outside. The inside would remain the same because it wouldn’t break down into perfect squares or pairs anymore. So that would be 2sqrt22.

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Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585

P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774

P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

Then:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

More can be learned about the binomial distribution at brainly.com/question/24863377

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Answer:

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(Question 3)Sue’s mom ordered pizzas and snacks for her family. She ordered three pizzas, 1 dozen donuts, and 1 dozen cookies. Each pizza cost $12.99, donuts are $3.99 per dozen, and the cookies are $4.50 per dozen. (All prices include sales tax.) If she paid with a $50 bill, how much change did she receive?

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Step-by-step explanation:

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