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4 years ago

What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20

1 answer:

7 0

Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.

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Tell whether the statement is true or false. Tan20 degrees greater than cot20 degrees

Oxana [17]

True because tan(20)=2.1 and cot(20)=is o.44

8 0

3 years ago

Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,

mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

E[X] = $\frac{\textup{1+2+3+4+5+6}}{\textup{6}}$

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = $\frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}$

E[X²] = $\frac{1+4+9+16+25+36}{\textup{6}}$

E[X²] = $\frac{91}{\textup{6}}$

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

variance = 15.167 - 3.5²

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0

3 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

4 years ago

Consider the following number line.

pshichka [43]

Answer:

The choice A

Step-by-step explanation:

B+A=BA+BA+BA=3BA

6 0

3 years ago

Which of the following is a secant on the circle below?

boyakko [2]

A. $\vec{KI}$ is the secant line on the below circle.

<u>Step-by-step explanation:</u>

The intersection of the circle will result in either Tangent or Secant. Secant is a line intersecting a circle at two different point. This concept explains the relation between the circle and line intersecting it.

From the given diagram,

The $\vec{GJ}$ and $\vec{GK}$ intersects the circle at the point H and I.

∴ It can also represented that the $\vec{JH}$ and $\vec{KI}$ intersects at a point G.

From the given options $\vec{KI}$ is the secant line that intersects the circle twice.

7 0

4 years ago