Answer:
x = 41.67
Step-by-step explanation:
The above equation, would be simplified or divided into parts;
Therefore, the given equation becomes;
A/x = B/C
Where;
A = (15.2*0.25-48.51/14.7)
B = (13/44-2/11-5/66/2.50)1.2
C = 3.2+0.8(5.5-3.25)
x = unknown variable.
<u>Part A</u>
(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)
A = (3.8 - 3.3)
A = 0.5
<u>Part B</u>
(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2
B = 0.09 * 1.2
B = 0.108
<u>Part C</u>
(3.2+0.8(5.5-3.25)
C = 4*(2.25)
C = 9
<em>Substituting the values into the equation, we have;</em>
0.5/x = 0.108/9
<em>Cross-multiplying, we have;</em>
9 * 0.5 = 0.108x
4.5 = 0.108x
x = 4.5/0.108
x = 41.67
Step-by-step explanation:



b.





c.






Step-by-step explanation:
7/10 - 1/2 = 7/10 - 5/10 = 2/10
Answer:
The statement
is neither a tautology nor a contradiction.
Step-by-step explanation:
A tautology is a statement that is always true.
A contradiction is a statement that is always false.
We are going to use a truth table to determine whether the statement
is a tautology, contradiction, or neither
A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.
The statement
is compound by these simple statements:
and we are going to use these simple statements to build the truth table.
The last column contains true and false values. Therefore, the statement is neither a tautology nor a contradiction.
Answer:

C 8.0
Step-by-step explanation:
Assuming the linear model y=mx+b where m is the slope and b the intercept.
For this case the slope with the following formula:
Where:

After the calculations we see that m=3 and b=2 from the info given by the linear model.
For this case we have the equation obtained by least squares given by:

Where 2 represent the intercept and 3 the slope. We are interested on the best predicted value of y when x=2.
If we see our linear model we have the equation in terms of y and x. So we can replace directly the value of x=2 into the equation and see what we got:
