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3 years ago

Determine the standard variation of the data below. (1, 2, 3, 4, 5)

2 answers:

8 0

Calculate for the mean/ average of the given numbers:

μ = (1 + 2 + 3 + 4 + 5) / 5 = 3

Then, we calculate for the summation of the squares of differences of these numbers from the mean, S

S = (1 - 3)² + (2 - 3)² + (3 - 3)² + (4 - 3)² + (5 - 3)²
S = 10

Divide this summation by the number of items and take the square root of the result to get the standard deviation.

SD = sqrt (10 / 5) = sqrt 2
SD = 1.41

Thus, the standard deviation of the given is equal to 1.41.

Bas_tet [7]3 years ago

8 0

Answer:

So basically sqrt of 2...

Step-by-step explanation:

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Araceli is trying to decide between three job offers. She created the table below to compare the offers.

inna [77]

Answer:

Difference= $11,280

Step-by-step explanation:

Giving the following information:

Manager at Shop & Save Grocers= Hourly wages $16.50 per hour

Assistant Manager at Unbelievable Toys= Monthly wages $3,800

Cashier at 7-12 Convenience Store= Yearly wages $43,000

<u>First, we need to calculate the yearly wages, and then compare the results:</u>

Shop & Save Grocers= (16.5*40)*52= $34,320

Unbelievable Toys= 3,800*12= $45,600

The highest paying job is at Unbelievable Toys.

Difference= 45,600 - 34,320= $11,280

5 0

3 years ago

Answer this in the next 4 minutes and you can earn the BRAINLIEST answer!!! Please answer ASAP. Thanks in advance! :D

shutvik [7]

3. is the answer, as you can see D is one and a half units to the right of the y axis at a height of 3 units and C is one and a half units to the left of the y axis with the same height. So D is "reflected" about the y axis and only the x coordinate changes sign from positive to negative.

8 0

3 years ago

Which region represents the solution to the given system of inequalities?

Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of inequalities:

$\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.$

We need to graph the lines.

We have the line:

$x+3y=-3$

Solving for "y", we get:

$3y=-x-3\\\\y=\frac{1}{3}x-1$

Knowing that $m=-\frac{1}{3}$ and $b=-1$ , we can graph it.

Since the symbol is $\leq$ , the line must be solid.

The other line is:

$x=3$

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is $\geq$ , the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

$0+3(0)\leq-3\\\\0\leq-3$

This is false, therefore, we must shade the half that does not contain this point.

$0\geq 3$

This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

8 0

3 years ago

Read 2 more answers

a scale on a map states that 3/4 inches equals 12 miles. the distance between two cities on the map is 4.5 inches. how far apart

lubasha [3.4K]

54 miles is how far the city should are

8 0

3 years ago

PLEASE HELPPP!!!

algol [13]

Answer:

$-32x^5-400x^4-2000x^3-5000x^2-6250x-3124$

Step-by-step explanation:

So what we should do is first expand. What I did was I did it one step at a time, starting with (2x+5)(2x+5). This gave me $4x^2+20x+25$ . I then continued to do this, until I got $32x^5+400x^4+2000x^3+5000x^2+6250x+3125$ . Then you asked me what this would be subtracted from 1. So, what I did was set it so that it would follow this rule, making it $1-(32x^5+400x^4+2000x^3+5000x^2+6250x+3125)$ .

After this, I just simplified.

5 0

3 years ago