This is the concept of simultaneous equations; We are required to create the equations modelling the above information.
Suppose the number of movie tickets was x and the number of meal tickets was y.
Therefore;
Total number of tickets was:
x+y=22
Total amount earned was:
0.5x+2y=25
The simultaneous equations representing the information is:
x+y=22
0.5x+2y=25
Answer:
(5x+1)(2x+1)(x+4)
Step-by-step explanation:
The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.
The x-intercepts here are x= -1/5, x=-1/2 and x= -4. You can find the factors by finding the expression which solves for each value.
Since x = -1/5 then the factor is 5x+1.
Since x = -1/2 then the factor is 2x+1.
Since x = -4 then the factor is x+4.
So the factored form is (5x+1)(2x+1)(x+4).
Answer: (15.47, 24.53)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :_

, where n= sample size.
= standard deviation.
= sample mean.
z*= Critical value.
Given : n= 450


Critical value for 95% confidence = z*=1.96 [From z-value table]
Then, the 95% confidence interval will be :-




Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)
Answer:
w = 1/8t
Step-by-step explanation:
So this is basically saying that for every 1 second that passed, 8 oz of water drip steadily into the bucket which can be expressed like this:
8w = t
Since t represents x and w represents y, we can simplify the equation by moving the 8 to the other side
w = 1/8t