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faltersainse [42]
3 years ago
14

What is the solution to the equation below? -5+ 3x-2-6

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

x= 4.33333333

Step-by-step explanation:

First, you need to get the constants to the other side. That would equal 13. You do this by using the opposite sign to get it to the other side. In this instance you would first add 6 to -6 and 0:

-6 = 0

+6 +6

You do this with all the other constants until you have this

3x = 13

You then divide each side by 3 because the whole point of solving the equation is to get x by itself. After you divide 3x by 3 you cancel out the 3 there. And when you divide 13 by 3 you get 4.33333333

So x = 4.33333333

Hope this helps!

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Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65.
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Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65 
65 is the outlier. 

A.) mean age without the outlier. count of the numbers : 9
5 x 30 =    150
1 x 31 =      31
3 x 32 =<u>      96</u>
total age  277
÷ # of pax<u>    9</u>
mean         30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 =   0.20 ⇒  0.20²  = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 =   1.20 ⇒  1.20² = 1.44 * 3 pax = 4.32

Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

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0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
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The point-slope form of the equation of a line that passes through points (8,4) and (0, 2) is y-
Oksi-84 [34.3K]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

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m: It's the slope

b: It is the cut-off point with the y axis

While the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

In this case we have a line through:

(8,4) and (0,2)

Therefore, its slope is:

m = \frac {2-4} {0-8} = \frac {-2} {- 8} = \frac {1} {4}

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Then, we manipulate the expression to find the equation of the slope-intersection form:

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Therefore, the cut-off point with the y-axis is b = 2

ANswer:

y = \frac {1} {4} x + 2

7 0
3 years ago
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