I will show you by example. For the sin ratio, we have that the sin of the reference angle is equal to the side opposite the angle over the hypotenuse of the right triangle. We use this example for finding the ratio, knowing the angle:

$sin(60)=.866025$ found on your calculator. Because this is a special angle in a right triangle, we can also say, by looking at a 60 degree reference angle that the side across from the angle measures square root of 3, and the hypotenuse measures 2. So in terms of a radical,

$sin(60)=\frac{\sqrt{3} }{2}$

If we don't know the angle, we use the 2nd button on our calculator to find it. For example, if our problem looked like this:

$sin\theta=\frac{1}{2}$ ,

we are asked what angle has a sin ratio of 1/2. We find this angle by pressing the 2nd button on our calculator, then the sin button and you will see this on your screen:

$sin^{-1}($

Enter either a .5 or a 1/2 after that open parenthesis and hit enter and you'll get the angle measure. That's how you use the inverses to solve for missing angles.

3 0

4 years ago

Consider a drug testing company that provides a test for marijuana usage. Among 317 tested subjects, results from 25 subjects w

svet-max [94.6K]

Answer:

We conclude that we fail to reject $H_0$ as there is not sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong.

Step-by-step explanation:

We are given that among 317 tested subjects, results from 25 subjects were wrong.

We have to test the claim that less than 10 percent of the test results are wrong.

Let p = proportion of subjects that were wrong.

So, Null Hypothesis, $H_0$ : p = 10% {means that 10 percent of the test results are wrong}

Alternate Hypothesis, $H_A$ : p < 10% {means that less than 10 percent of the test results are wrong}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p (1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of test results that were wrong = $\frac{25}{317}$ = 0.08

n = sample of tested subjects = 317

So, test statistics = $\frac{0.08-0.10}{\sqrt{\frac{0.08 (1-0.08)}{317} } }$

= -1.31

The value of z test statistics is -1.31.

Now, the P-value of the test statistics is given by the following formula;

P-value = P(Z < -1.31) = 1 - P(Z $\leq$ 1.31)

= 1 - 0.9049 = 0.095

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test. Since our test statistics is more than the critical value of z as -1.31 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that we fail to reject $H_0$ as there is not sufficient evidence to warrant support of the claim that less than 10 percent of the test results are wrong.

5 0

3 years ago

First and Last Name 1. A waste oil tank is five feet wide by twenty feet long. The empty tank on your truck holds 5,000 gallons.

VikaD [51]

Answer:

b)668

Step-by-step explanation:

volume of the truck: 5000/7.48=668.45cu/ft

let d= the depth of the oil in the truck

5 *20*d=66.8.45

100d=66.8.45

d=668.45

so it would be b :)

5 0

3 years ago

Why is it so easy to get rid of our happiness but so hard to get rid of our sadness?

tester [92]

Answer:

nah it's easy to get rid of sadness just think of why you were happy than think of who or what makes you happy

8 0

3 years ago

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