To find x, we simply need to subtract the sum of the other two sides from 73.
35+11=46
73-46=27
So x = 27mm
Answer:
Here Ariel is wrong because 3x^3 is higher power than y^2
3x^3 goes first
then the mixed term -4x^2y
then the y^2
then the 2
So, Marcus is right
Standard form means that you write the terms by descending degree. here's main rules how to write polynomial expression in the standard form:
1. write the term with the highest exponent first (terms of third degree in our case 3x^3 );
2. write the terms with lower exponents in descending order (term -4x^2y followed by y^2
);
3. remember that a variable with no exponent has an understood exponent of 1 (here are no such terms);
4. a constant term (a number with no variable) always goes last (term 2).
Answer: a. iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
Step-by-step explanation:
- A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
- It is square of correlation coefficient (R).
Here, independent quantity = weight of a car
dependent quantity = miles per gallon (gas mileage)
The coefficient of determination (R²) was reported to be 79.6%.
That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
- A correlation coefficient(R) tells about the strength and direction of relation .
- It lies between -1 and 1.
For the study, the correlation coefficient R is -0.8921.
There is a fairly strong, negative relationship between car weight and miles per gallon.
Answer:
Number of vans = 7 students
Number of buses = 60 students
Step-by-step explanation:
Let
Number of vans = x
Number of buses = y
2x + 11y = 674 (1)
6x + 14y = 882 (2)
Multiply (1) by 3
6x + 33y = 2,022 (3)
6x + 14y = 882 (2)
Subtract (2) from (3)
33y - 14y = 2,022 - 882
19y = 1,140
y = 1,140 / 19
= 60
y = 60 students
Substitute y = 60 into
2x + 11y = 674 (1)
2x + 11(60) = 674
2x + 660 = 674
2x = 674 - 660
2x = 14
x = 14/2
= 7
x = 7 students
