Answer:
Given the system of equation:
g +h = 9 ......[1]
8g + 7.5h = 71 ......[2]
We can write equation [1] as;
g = 9-h ......[3]
Now, substitute equation [3] in [2] we get;
Using distributive property i,e 
.
72 - 8h +7.5h = 71
Combine like terms:
72 - 0.5 h = 71
Subtract 72 to both sides of an equation:
72 - 0.5 h -72 = 71-72
Simplify:
- 0.5 h = -1
Divide both sides by -0.5 we get;
Simplify:
h = 2
Substitute the value of h =2 in equation [3] to solve for g;
g = 9 - 2 = 7
g = 7
Therefore, the solution for the given equation is :
g = 7 and h = 2
Answer:
9/20
multiplty the numerators
3 x 3 =9
--- --- ---
5 4 ?
multiply the denominators
3 x 3 = 9
--- --- ---
5 x 4 = 20
simplify if needed
9/20 is already in its simplest form
Prime factorization can be obtained by the factor tree
72=2*36=2*(2*18)=2*(2*(2*9))=2*2*2*3*3=2^3*3^2
<span>Two or more expressions (equations are examples) that are equal to or equivalent to each other; for example: (X+2)(X+4) = X^2+6X+8.</span>
Firstly, we have to find the mean. The mean is simply the average of the numbers, which we find by adding each number in the sequence and then dividing that result by the total amount of numbers.
<em>13.3 + 14.3 + 15.3 + 16.3 + 17.3 = 76.5</em>
<em>76.5 / 5 = 15.3
</em>Okay, so our average is 15.3.
<em>
Now, </em>we have to subtract the mean from each number and then square the result.
<em>(13.3 - 15.3)^2 = 4</em>
<em>(14.3 - 15.3)^2 = 1</em>
<em>(15.3 - 15.3)^2 = 0</em>
<em>(16.3 - 15.3)^2 = 1</em>
<em>(17.3 - 15.3)^2 = 4
</em>Now we have to find the mean of those numbers!
<em>
4 + 1 + 0 + 1 + 4 = 10
10 / 2 = 2
</em>Finally, we take the square root of that number and we have our standard deviation. =)<em>
</em>
