P=a+b+c. Sub in what we know: 29=a+a+(a+5). Combine like terms: 29=3a+5. Subtract 5 from both sides: 24=3a. Divide by 3: 8=a. Short sides: A=8m, b=8m, long side: c=13m. :)
The <em><u>correct answer</u></em> is:
The order is -11x⁵y² + 7x³y³ - 3x²y + 4; and the degree is 6.
Explanation:
To order them by x, we look at the powers of x. In the original polynomial, the power of x in the first term is 3, the power of x in the second term is 0, the power of x in the third term is 5, and the power of x in the last term is 2. Arranging them, we want 5, 3, 2 and 0. This explains the order.
The second term of the ordered polynomial is 7x³y³. The degree is found by adding the exponents of the variables in the problem; this gives us 3+3 = 6.
Answer:
I think last one, not sure
Step-by-step explanation:
Complete Question
We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys
Answer:
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Step-by-step explanation:
Let
The number of boys = x
The number of girls = y
We have 420 students
2 times 3 times the number of girls is equal to 2 times the number of boys
x + y = 420..... Equation 1
2 × 3y = 2x
6y => 2x
x => 6y/2 = 3y
We substitute 3y for x in Equation 1
3y + y = 420
4y = 420
y =>420/4
y => 105
Solving for x
x = 3y
x = 3 × 105
x = 315
Therefore,
The number of boys = x = 315 boys
The number of girls = y = 105 girls
Answer:
The unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance
Step-by-step explanation:
Previous concepts
Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".
In order to calculate the correlation coefficient we can use this formula:
On this case we got that r =-0.95
In order to find the % of variance explained by the model we need to calculate the determination coefficient given by:

And that means this : "90.25% of the variation of y is explained by the variation in x"
So then the unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance