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maksim [4K]
3 years ago
5

Find the inverse cotangent of the square root of 3 without a calculator

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0
Let's use our trigonometric skills to solve for this one:


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You earn $9.20 per hour at your summer job. Identify an inequality that represents the number p of hours you need to work in ord
Korvikt [17]

Answer:

$32.5

Step-by-step explanation:

I hope this helps.

7 0
3 years ago
An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232
Hatshy [7]

Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

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

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

6 0
4 years ago
ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​
Daniel [21]

Answer:

perimeter of square

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the sum and express it in simplest form. (ab+4a-6)+(ab+6)
riadik2000 [5.3K]
= 2ab + 4a + 6 - 6

= 2ab + 4a

you can factor this  to 2a(b + 2)
3 0
3 years ago
Read 2 more answers
12x+7&lt;-11 or 5x-8&gt;40
puteri [66]

Answer:

\large\boxed{x9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}

Step-by-step explanation:

12x+7

5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================

x9\dfrac{3}{5}

7 0
3 years ago
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