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adoni [48]
3 years ago
11

Simplify each product. Write in standard form. Explain

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0
Use distributive property:
16. 5k(3 - 4k)
15k - 20k^2
18. 6g^2(g - 8)
6g^3 - 48g^2
20. -2n^2 (5n - 9 + 4n^2)
-10n^3 + 18n^2 - 8n^4
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The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop
ella [17]
The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2=   <u>Σ(x-mean)^2</u>
                   n      

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations. 

Data: <span>90, 75, 72, 88, 85        n= 5  
</span>Mean=<u>Σx</u>
            n
Mean = <u>90+75+72+88+85 </u>  = <u>410</u> = 82
                        5                        5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two. 

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

 x      mean         x-mean        (x-mean)^2     
90       82                8                      64                       
75       82               -7                      49
72       82              -10                    100
88       82                6                       36
85       82                3                       9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

 
<u>
</u>
6 0
4 years ago
What is the number of solutions of 4x^2+12x+9=0?
Gwar [14]

Answer:

One Real number solution

Step-by-step explanation:

check the discriminant

12^2  - 4*4*9

b^2 - 4ac

...

144 - 16*9 =  0

one double root

7 0
3 years ago
What number do you divide by 12 to get 9
finlep [7]

Well I don't know.  Let's figure it out together.

You said (a number) divided by 12 gives you 9 .

A fraction is the easiest way to show division, so
you can write this equation:

               (number) / 12  =  9

Now you can multiply each side of the equation by  12 .
When you do that, you have ...

                 number   =   9 x 12

                 <em>number   =    108</em> .

Now you know how to find it.  That's even better than just
having the answer.


5 0
3 years ago
Read 2 more answers
5 ) ( 8 x 10 - 82 ) - 8​
juin [17]

Answer:

16

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The variable z is directly proportional to x. When x is 16, z has the value 176. What is the value of z when x = 24?
kow [346]

Answer: z = 264

Step-by-step explanation:

x to z = 16 to 176

x = 24 to ?

16/176 = 24/z

cross-multiply solve for z

z = 264

8 0
3 years ago
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