Answer: 18
Step-by-step explanation: Simplify 2^3 to 8. 3/4 (8+4^2). Simplify 4^2 to 16. 3/4 (8+16). Simplify 8+10 to 24. 3/4*24. Use this rule: a/b * c = ac/b. Simplify 3*24 to 72. 72/4.
<em>Hope this helps!</em>
Answer:
48
Step-by-step explanation:
8 divided by 2 = 4
4 times 12 = 48
Answer:
35 units²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 5, thus
A = × 14 × 5 = 7 × 5 = 35 units²
Answer:
a) y = 0.74x + 18.99; b) 80; c) r = 0.92, r² = 0.85; r² tells us that 85% of the variance in the dependent variable, the final average, is predictable from the independent variable, the first test score.
Step-by-step explanation:
For part a,
We first plot the data using a graphing calculator. We then run a linear regression on the data.
In the form y = ax + b, we get an a value that rounds to 0.74 and a b value that rounds to 18.99. This gives us the equation
y = 0.74x + 18.99.
For part b,
To find the final average of a student who made an 83 on the first test, we substitute 83 in place of x in our regression equation:
y = 0.74(83) + 18.99
y = 61.42 + 18.99 = 80.41
Rounded to the nearest percent, this is 80.
For part c,
The value of r is 0.92. This tells us that the line is a 92% fit for the data.
The value of r² is 0.85. This is the coefficient of determination; it tells us how much of the dependent variable can be predicted from the independent variable.
