Answer:
a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
b) 
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 7 - 1 = 6
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.4469, and the answer to question b is
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.
The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.
The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.
Answer:
120 min
Step-by-step explanation:
step 1. divide 100% by 2.5 (=40)
step 2. 40 time 3 minutes = 120!
so by the time it gets to 120 minutes it 100% and guaranteed
Answer:
x = ± 7
Step-by-step explanation:
Given
(2x - 1)(3x + 2) = x + 292 ← expand left side using FOIL
6x² + x - 2 = x + 292 ( subtract x from both sides )
6x² - 2 = 292 ( add 2 to both sides )
6x² = 294 ( divide both sides by 6 )
x² = 49 ( take the square root of both sides )
x = ± 7
That is x = - 7, x = 7
Answer:
y = -2x - 5
Step-by-step explanation:
Let the equation if the line be y = mx + c
since the line is parallel to y = -2x - 8, their gradients/slope must be the same (aka m = -2)
sub (-4, 3):
3 = -2(-4) + c
c = -5
therefore, the equation of the line is y = -2x - 5
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
1 Remove parentheses.
2(5c−7)≥c−3
2 Expand.
10c−14 ≥ c −3
3 Add 14 to both sides.
10c-14+14≥ c − 3+14
4 Simplify c−3+14 to c+11
10c≥c+11
5 Subtract c from both sides.
10c−c≥11
6 Simplify 10c−c to 9c
9c≥11
7 Divide both sides by 9.
c ≥11/9
