Answer:
See explaination
Step-by-step explanation:
See attachment for diagram
The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.
The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.
p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.
Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37
Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83
So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.
Answer: Small number = 15.
Larger number = 20
Step-by-step explanation:
Let the smaller number be x.
The larger of two numbers is five more than the smaller. Thus, the larger number is x+5.
Twice the larger is twenty less than four times the smaller. This can.be written as:
2(x + 5) = 4x - 20
2x + 10 = 4x - 20
2x - 4x = -20 - 10
-2x = -30
x = 30/2
x = 15
The smaller number is 15
Larger number = x + 5 = 15 + 5 = 20
-11.2 + 4(2.1 + q) = -0.8
-11.2 + 8.4 + 4q = -0.8
4q = -0.8 + 11.2 - 8.4
4q = 2
q = 1/2 Answer
3x = -9
x = -9 / 3
x = -3 Answer
Hello:
<span>(4x-2)(6x+ 7)=24x²+28x-12x-14
= 24x²+16x-14
</span><span>in the standard form : ax²+bx+c a = 24 b=16 c=-14</span>
Make a system of equations and solve for each variable.
3m+8v=53
5m+2v=26
m= movie cost
v= game cost
multiply the bottom equation by 4(combination method)
3m+8v=53
20m+8v=104. Subtract
-17m = -51
m= 3
Plug back into one of the equations
5(3)+2v=26
15+2v=26
2v=11
v=5.5
m=$3
v=$5.5