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Sedbober [7]
3 years ago
10

List the elements in each set.

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

2

Step-by-step explanation:

1+1=2

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19.2 is the answer to that

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Can someone please help me solve 4 & 5? I'll love you forever
marusya05 [52]
Based on my little knowledge of statistics
4.
It's 8!/4!= 1680
(the exclamation point is basically the number of probabilities in the combination)
5.
(speculation) It's 10!-6!= 3,628,080
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Convert the polar equation r = 2 secØ to a Cartesian equation.y = 2x = 2x^2 = 2
ss7ja [257]
Polar and cartesian equation<h2>Initial explanation</h2>

Let's analyze the relation between r and x and y:

We have that between the indicated value of r (of the polar coordinates) and x and y (of the cartesian coordinates) there is a relation because they form a triangle. If r changes, then the value of x and y will change.

<h2>STEP 1: given equation</h2>

Using the given equation

r = 2 secØ

we have that

\begin{gathered} r=2secØ \\ \downarrow \\ \frac{r}{2}=secØ \end{gathered}<h2>STEP 2: secØ equation</h2>

Observing the image of the initial explanation we have a right triangle, we know that the equation of

secØ for any right triangle is given by:

\sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}

In this case,

hypotenuse = r

adjacent side = x

then,

\begin{gathered} \sec Ø=\frac{\text{hypotenuse}}{\text{adjacent side}}=\frac{r}{x} \\ \sec Ø=\frac{r}{x} \end{gathered}<h2>STEP 3: comparison between given equation and secØ equation</h2>

Then, we have that:

\begin{gathered} \sec Ø=\frac{r}{x} \\ \sec Ø=\frac{r}{2} \end{gathered}

This means that:

\begin{gathered} \frac{r}{x}=\sec Ø=\frac{r}{2} \\ \downarrow \\ \frac{r}{x}=\frac{r}{2} \end{gathered}

Then,

x = 2

The equation in cartesian coordinates is x=2.

Answer: x=2

6 0
1 year ago
Find X. Show work please
rodikova [14]
5x +12 = 6x - 10
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3 0
3 years ago
In a survey of 200 publicly-traded companies, the average price-earnings ratio was 18.5 with a standard deviation of 8.2. When t
mamaluj [8]

Answer:

Null Hypothesis: H0:μ ≤ 16.8

Alternative Hypothesis: Ha: μ > 16.8

Step-by-step explanation:

We are told that affer testing the hypothesis (at the 5% level of significance), that the average price-earnings ratio increased from the past value of 16.8.

It means that the past value was not more than 16.8.

This follows that the null hypothesis is given as;

H0:μ ≤ 16.8

And since it has been discovered that the ratio increased from the past value of 16.8, the alternative hypothesis is;

Ha: μ > 16.8

5 0
3 years ago
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