Thus, the most suitable answer is b..42.Step-by-step reasoning:Prior concepts include an explanation of Analysis of variance (ANOVA), which is employed to assess variances among group averages within a sample. The sum of squares constitutes the total squared variation where variation is defined as the disparity between each value and the grand mean. The correlation coefficient evaluates the strength of the correlation between two variable movements, noted as r, with values bounded between -1 and 1. In conducting multiple regression analysis, we seek to ascertain the relationship among multiple independent (predictor) variables and a dependent (criterion) variable.Solution:Assuming the presence of

independent variables and

individuals, we can articulate various formulas of variation: We also possess a characteristic identified as

. The model's degrees of freedom in this circumstance is represented by

, with k =2 indicative of the variable count. The error's degrees of freedom is articulated by

. The coefficient of determination in multiple regression is illustrated as: thus, the answer is b..42.
H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds
Answer:
If he were to drive for 9 hours, he would cover 378 miles
Answer:
The ratio
corresponds to the tangent of ∠I.
Step-by-step explanation:
Let’s revisit the trigonometric ratios:
For triangle HIJ
∵ m∠J = 90°
- The hypotenuse is the side opposite the right angle.
So, HI is the hypotenuse.
∵ HJ = 3 units
∵ IH = 5 units
- We’ll apply the Pythagorean Theorem to solve for HJ.
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides.
∴ (IJ)² = 16
- Taking the square root on both sides gives:
∴ IJ = 4 units
To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- Utilizing the rule of tan above:
∴ tan(∠I) = 
∴ tan(∠I) = 
The ratio
indicates the tangent of ∠I.