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jonny [76]
3 years ago
15

What is the population standard deviation of this data set?*

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

Answer:

C)  2

Step-by-step explanation:

step 1:  Find mean of data set

2+4+4+5+7+8 = 30

30/6 = 5

Mean = 5

step 2: subtract each data value from the mean and square it

5-2 = 3;   3² = 9

5-4 = 1;   1² = 1

5-4 = 1;   1² = 1

5-5 = 0;   0² = 0

5-7 = -2;   (-2²) = 4

5-8 = -3;   (-3²) = 9

Add the squared results:

9+1+1+0+4+9 = 24

Divide 24 by 6 to get the Variance of 4

Take the square root of the Variance to get the Standard Deviation

\sqrt{4} = 2

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X3+6x2+6x+5 : x2+x+1
alexgriva [62]
I am assuming this was the question you want answered
3x+6x^2+6x+5 = 2x+x+1
First you would combine all like terms on both sides. Start with the numbers with x
3x+6x= 9x
2x+x= 3x
Now multiply 6*2
6*2= 12

Now you have you have
9x+12+5 = 3x+1

Now combine 12+5
12+5=17

Now you have 
<span>9x+17 = 3x+1
</span>
Now subtract 1 from both sides
<span>9x+17 = 3x+1
</span>      -1         -1
<span>9x+16 = 3x+0

</span>Now subtract 9x from both sides
<span>9x+16 = 3x+0
</span>-9x        -9x
0+16 = -6x

Now divide -6 by both sides
16 = -6x
----    ----
6        6

The final answer is 2 2/3 = x or 2.66666 = x
7 0
3 years ago
Evaluate the expression if a = 3, b = 5, and c = 6.<br> c^2 + 3a × b
kvasek [131]

Answer:

81

Step-by-step explanation:

6² + 3(3) x 5

using PEMDAS is

36 + (9 x 5)

36 + 45 = 81

6 0
2 years ago
A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at
ankoles [38]

Answer:

1km per minute

Step-by-step explanation:

Given the table in the picture :

The average rate of change over the interval from 8 to 15 minutes will be :

Change in distance / change in time

Change in distance between 8 and 15 minutes :

Distance d1 at 8 minutes t1 = 7km

Distance d2 at 15 minutes t2 = 14km

Average rate of change = (d2 - d1) / (t2 - t1)

Average rate of change = (14 - 7)km / (15 - 8)min

Average rate of change = 7km / 7minutes

Average rate of change = 1km per minute

6 0
3 years ago
Jack has 5 apples. He eats 3. How many apples did he eat? I WILL MARK BRANLIEST.
borishaifa [10]

Answer:

He ate 3 apples?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
identify the graph and describe the solution set of this system of inequalities y&lt;-3/2x-10, y&gt;-3/2x-2
givi [52]

Answer:

The system has no solution

Step-by-step explanation:

we have

y < -\frac{3}{2}x-10 ----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=-\frac{3}{2}x-10

The slope of the dashed line is negative

The y-intercept of the dashed line is -10

The x-intercept of the dashed line is -20/3

y > -\frac{3}{2}x-2 ----> inequality B

The solution of the inequality B is the shaded area above the dashed line y=-\frac{3}{2}x-2

The slope of the dashed line is negative

The y-intercept of the dashed line is -2

The x-intercept of the dashed line is -4/3

Using a graphing tool

The dashed lines are parallel

therefore

The system has no solution

see the attached figure

6 0
3 years ago
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