Answer:
1. Figure 3
2. 2881.4 cm³
Step-by-step explanation:
The graph in figure 3 has a curve that fits the data best because it captures most of the points unlike the other two curves.
The curve in figure 3 has the equation;
2.
When using x=8, substitute the value of x in the equation with 8 to get
y = -16.9*64 + 430*8 + 523
y= 2881.4
= 2881.4 cm³
Answer:
Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:
where x is the value, is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.
Substitute the values into the formula.
Solve the numerator.
Divide.
The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
Answer:
Step-by-step explanation:
Suppose the radius is 1. The parametric equations for the circle are
x = cosθ
y = sinθ
x:y = 3:1
tanθ = ⅓
cosθ = 3/√(1²+3²) = 3/√10
sinθ = 1/√10
The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).
