Answer:
The next three terms in this sequence will be, -96, 192, and -384.
Hope this helped have a blessed day
Step-by-step explanation:
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:
45, 36
Step-by-step explanation:
let x y minutes be the time for pipes to fill the tank, let n be the water needed to fill the tank.
x-y=9
(n/x)*20+(n/y)*20=n
n is removed by dividing the 2nd equation by n
here u get:
(1/x+1/y)*20=1
you sub x=9+y into the above equation
1/y+1/(9+y)=1/20
((9+y)+(y))*20=(9+y)(y)
180+40y=9y+y2
y2-31y-180=0
then use the quadratic formula and u will find y=36 or -5
-5 is rejected because it is negative
x=36+9=45
therefore it is 36 mins and 45 mins
Answer:
b
Step-by-step explanation:
Justin's score has to be greater than 80. the appropriate inequality sign is >
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
On the number line, since the score has to be greater than 80, the line would start from 80 and end on 95
> or < is represented by unfilled circle
≤ or ≥ is represented by filled circle