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VladimirAG [237]
3 years ago
14

Find the value of the csc 40° using your calculator. (I've been having a hard time with this, so it'd be helpful if anyone could

explain how I could solve this, please)
1.342
0.745
1.556
0.643
Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0
<span><u><em>The correct answer is: </em></u>
C 1.556.

<u><em>Explanation:</em></u>
This can be found by locating the csc button on your calculator. Typically it is located as the second option below the sin button as it is the inverse function.
If you cannot locate the csc button on your calculator, you can also use </span>\frac{1}{sin(40)}<span> as csc is its inverse.

Also, it is helpful to note that some calculators have both a degrees and a radians mode for trigonometric functions. You will need to make sure that you are in degrees in order to use a calculator to solve this. </span>
Nataliya [291]3 years ago
3 0

Answer:

Option C is the correct answer.

Step-by-step explanation:

The question is to find the value of cosec 40°.

We know that cosecθ = 1/sinθ

Most of the calculators won't be having cosec function, they will be having only sin function.

So for calculating cosec 40° first find the value of sin 40° and then calculate 1/sin 40° to get the value of cosec 40°.

We have

                     sin 40° = 0.642

                    1/sin 40° = 1.556

Option C is the correct answer.

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One year, the population of a city was 252,000. Several years later it was 201,600. Find the percent decrease.
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Step-by-step explanation:

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8 0
3 years ago
A data analytics firm hired by a Republican candidate running for political office wants to test whether its practices were succ
Vilka [71]

Answer:

The practices were successful in increasing voter turnout among registered Republicans.

Step-by-step explanation:

The missing data is attached below.

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the practices were successful in increasing voter turnout among registered Republicans.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The practices were not successful in increasing voter turnout among registered Republicans, i.e. <em>d</em> ≤ 0.

<em>Hₐ</em>: The practices were successful in increasing voter turnout among registered Republicans, i.e. <em>d</em> > 0.

Use Excel to perform the paired t-test.

Go to Data → Data Analysis → t-Test: Paired Two Sample for Means

A dialog box will open.

Select the variables.

Set the Hypothesized mean difference as 0.

Press OK.

The output is attached below.

The test statistic value is, <em>t</em> = 5.409.

The degrees of freedom is, <em>df</em> = 9.

The <em>p</em>-value for he one-tailed test is, <em>p</em>-value = 0.00021.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Thus, concluding that the practices were successful in increasing voter turnout among registered Republicans.

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Step-by-step explanation:

<em>Multiply the number by itself, so because 5 * 5 = 25, the sqrt of 25 is 5. </em>

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