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2 years ago

How do you solve this without using a calculator

SAT

1 answer:

My name is Ann [436]2 years ago

8 0

Answer:

Explanation:

You must know the basics of Trigonometry to solve this.

First, you must know that

$\frac{3\pi}{4}$

lies in the second quadrant, so sin is negative.

Next, since

pi/4, is the reference angle of 3 pi/4, this means that we can set up a right triangle with pi/4 as an angle, we get

$\cos( \frac{3\pi}{4} ) = \frac{ \sqrt{2} }{2}$

$\sin( \frac{\pi}{4} ) = - \frac{ \sqrt{2} }{2}$

So the answer is A

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Using the binomial distribution, it is found that there is a 0.6836 = 68.36% probability that she guesses at least one right.

For each question, there are only two possible outcomes, either she gets it right or she does not get it right. The probability of getting a question right is independent of any other question, hence the <em>binomial distribution</em> is used to solve this question.

<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.

In this problem:

There are 5 questions, hence n = 5.

For each question, she guesses one out of 4 options, hence p = 1/4 = 0.25.

The probability that she guesses at least one right is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

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

$P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164$

Hence:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836$

0.6836 = 68.36% probability that she guesses at least one right.

You can learn more about the binomial distribution at brainly.com/question/24863377

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2 years ago

The community health nurse is conducting a breast cancer screening clinic in a local neighborhood and is providing sessions on b

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When women notice a lump or any irregularity in their breasts, they are supposed to report to a medical doctor for proper examination.

So the option above indicates the information that the nurse should give to the patient.

Learn more about breast self-examination here:

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Based on Section 3, covered means:

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The kind of ROI Luis demonstrates is : Positive ROI

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