The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the
residual of 1?
O 0.5
X 3.5
04.0
7.5
A-0.5
Answer:
Part A: Coefficients: 85 and 15
Variables: x = shifts at the theater, y = dog-walking jobs
Part B: 2 terms, the first one represents how much he earns working in the theater and the second how much he earns dog-walking. Each term is separated with a sum or a subtract sign.
Part C: 15y
Step-by-step explanation:
Part A: The variable of an expression is the information we don't know. In this case, we don't know how many shifts he has at the theater and how many dog-walking jobs he has. That's why we have 2 variables, x and y. The coefficient is the number that multiplies the variable. In this case, as we have 2 variables, we have 2 coefficients, 85 and 15.
Part B: In an expression, every term is separated with a sum or a subtract sign. In this case, we have just one sum, so the terms are the numbers and variables that appear before and after the sum sign. That's 85x and 15y. The first one is the amount of money he earns for every shift at the theater multiply by how many shifts he has, so that's how much he earns in total at the theater. The second one is the amount of money he earns for every dog-walking job multiply by how many he does, so that's how much he earns in total from the dog-walking jobs.
Part C: As I said in Part B, the second term is the total earned from the dog-walking jobs, so 15y represents it.
84/7=0.083333333... or ≈ 0.08
Answer:
P(even no.) = 0.5
Step-by-step explanation:
Using the Formula of Probability = 
Total no. of outcomes when a six sided die is rolled are: 6 (as shown below)
1, 2, 3, 4, 5, 6
Required outcomes are only even number: 3 (as shown below)
2, 4, 6
Thus P(even no.) = 
= 
= 0.5
Answer:
y=9 and x=9*sqrt(2)
Step-by-step explanation:
tan(45)=9/y, 1=9/y, y=9
sin(45)=9/x, 1/sqrt(2)=9/x, x=9*sqrt(2)
