A monomial<span> is the product of non-negative integer powers of variables. Consequently, a </span>monomial<span>has NO variable in its denominator. It has one term. Therefore, option D is the only monomial of the choices. Hope this answers the question.</span>
Answer:
Step-by-step explanation:
We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.
To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:
What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:
This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:
And we find ourselves on the same conclusion.
Have a wonderful day :D
Answer:
A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Step-by-step explanation:
John is predicting test scores of students on the basis of their home work averages and he get the following regression equation
y=0.2 x +82.
Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.
The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.
We are given that correlation coefficient r= 0.82.
coefficient of determination R²=0.82²=0.6724 or 67.24%.
Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.
Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Answer:
39
Step-by-step explanation:
1. Use the Pythagorean theorom: a^2+b^2=c^2.
C is the missing side here, which is the hypotenuse of the triangle. The other two sides and be put into the equation either way. Doesn't matter the order.
15^2 + 36^2 =c^2
2. Evaluate 15^2 and 36^2 and add the results.
15^2 = 225
36^2 = 1,296
225+1,296= 1,521
3. Take the square root of the answer.
√1521 = 39
