ORH is a 30°-60°-90° triangle. Find RO.

Using the set of data below, which statements are true? Check all that apply. 13, 11, 16, 12, 42, 8 The mean of this data set is

Andreas93 [3]

The correct statements about the given data are as follows;

The mean of this data set is 17.

The median is 14.5.

Given that

Using the set of data below.

13, 11, 16, 12, 42, 8

According to the question

Using the set of data below.

13, 11, 16, 12, 42, 8

<h3>Mean is the average of the given data.</h3>

The mean of the given data can be calculated as,

$\rm Mean =\dfrac{Sum \ of \ all \ data}{Total \ number \ of \ observation}\\\\Mean=\dfrac{13+11+16+12+42+8}{6}\\\\Mean=\dfrac{102}{6}\\\\Mean=17$

The mean of this data set is 17.

Medium; The medium is the average of the middle terms.

The medium of the given data can be calculated as,

$\rm Median=\dfrac{16+12}{2}\\\\Median=\dfrac{28}{2}\\\\Median=14\\\\$

The median is 14.

To know more about Mean click the link given below.

brainly.com/question/1241759

6 0

3 years ago

Angle α lies in quadrant II , and tan α = <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B12%7D%7B5%7D" id="TexFormula1" title="-\f

Hunter-Best [27]

Since $\alpha$ lies in quadrant II and $\beta$ lies in quadrant IV, we expect $\sin\alpha>0$ , $\cos\alpha$ , and $\sin\beta$ .

Recall the Pythagorean identities,

$\sin^2x+\cos^2x=1\iff1+\cot^2x=\csc^2x\iff\tan^2x+1=\sec^2x$

It follows that

$\sec\alpha=\dfrac1{\cos\alpha}=-\sqrt{\tan^2\alpha+1}=-\dfrac{13}5\implies\cos\alpha=-\dfrac5{13}$

$\sin\alpha=\sqrt{1-\cos^2\alpha}=\dfrac{12}{13}$

$\sin\beta=-\sqrt{1-\cos^2\beta}=-\dfrac45$

Recall the angle sum identity for sine:

$\sin(\alpha+\beta)=\sin\alpha\cos\beta+\sin\beta\cos\alpha$

So we have

$\sin(\alpha+\beta)=\dfrac{12}{13}\dfrac35+\left(-\dfrac45\right)\left(-\dfrac5{13}\right)=\boxed{\dfrac{56}{65}}$

4 0

3 years ago

What is the scale factor ? And given that QY’ = 4.125 what is QY?

Drupady [299]

Step-by-step explanation:

Scale factor is found by making a fraction of two numbers;

In this case, 3.5/2, since the dilated line is larger

Scale factor: 1.75 (simplified)

Given that QYprime is 4.125,

4.125 * (2/3.5)

= 2.357 (rounded)

4 0

3 years ago

A psychologist claims that less than 5.8 percent of the population suffers from professional problems due to extreme shyness. Ex

otez555 [7]

In statistics, you may test a hypothesis using different statistical techniques like ANOVA or the F-test. You should have the null hypothesis, denoted as H0 and the alternative hypothesis, denoted as H1. Null hypothesis is the hypothesis you would like to test on. This is called as such because this is the hypothesis statisticians would like to test to nullify. This would be p < 5.8%. On the other hand, the alternative hypothesis is the contrary of the null hypothesis. Hence, the alternative hypothesis is p ≥ 5.8%. The answer is C.

4 0

3 years ago

Read 2 more answers

Can anyone plz help me out with this?

jek_recluse [69]

Answer:

Down here ↓↓↓↓↓

Step-by-step explanation:

(a) Does the Parabola open upward or downward

Upward - the open "space" is above the vertex, so it opens upward

(b) X and y intercepts

x - intercepts : where the graph touches the x - axis

x - intercepts = (2, 0) , (4, 0)

Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0

y - intercepts : where the graph touches the y - axis

y - intercepts = (0, 3)

(c) Vertex of the parabola

vertex: the point of symmetry

vertex : (4, -1)

(d) Axis of symmetry

axis of symmetry : x - value of vertex

axis of symmetry : x = 4

-Chetan K

4 0

3 years ago