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Misha Larkins [42]
3 years ago
5

Use a calculator to find the values of the inverse function in radians. sin-1 (0.65)

Mathematics
2 answers:
Bond [772]3 years ago
3 0
We are given the inverse function:
sin-1 (0.65)

We can use a scientific calculator to solve this. Make sure that the mode is in radians and not in degrees
So, the answer is
sin-1 (0.65) = 0.7076 which is in radians
Ad libitum [116K]3 years ago
3 0

Answer:

\sin^{-1}(0.65)=0.7075  

Step-by-step explanation:

Given : Inverse function \sin^{-1}(0.65)

To find : The values of the inverse function in radians?  

Solution :

Write the inverse function \sin^{-1}(0.65)  

Using calculator we find the value of inverse function in radians is

\sin^{-1}(0.65)=0.7075  

If the calculator calculate in degree the first find in degree and to convert into radian multiply its by \frac{\pi }{180}

In degree, \sin^{-1}(0.65)=40.5416  

In radian, \sin^{-1}(0.65)=40.5416\times \frac{\pi }{180}=0.7075

Therefore, The value of inverse function is \sin^{-1}(0.65)=0.7075  

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The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales
mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

<em><u>Let </u></em>\mu<em><u> = true mean number of calls per salesperson per week.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq 37   {means that the mean number of calls per salesperson per week is less than or equal to 37}

<u>Alternate Hypothesis,</u> H_A : \mu > 37   {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean number of calls made last week = 40

             s = sample standard deviation = 5.6 calls

             n = sample of sale representatives = 41

So, <em><u>test statistics</u></em>  =   \frac{40-37}{\frac{5.6}{\sqrt{41} } }  ~ t_4_0

                               =  3.43

Hence, the value of test statistics is 3.43.

<em>Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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Pachacha [2.7K]
We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.

Hope this helps!
3 0
3 years ago
Absolute Value is always positive.<br><br> True<br> False
kramer

Answer: False

Step-by-step explanation: Absolute value means <em>distance from zero</em> on a number line. A common mistake is to assume that absolute value is always positive but that's not necessarily the case.

Take 0 for example.

It's 0 units away from zero on a number line which

means it has an absolute value of zero.

However, all other numbers besides zero will have

an absolute value that is positive.

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