Answer:
$120
Step-by-step explanation:
The initial fee that was charged is the y-intercept of the equation that represents the situation given.
Using the slope-intercept equation, y = mx + b, find m and then find b, which is the initial fee.
Where, x = distance, y = price, m = slope, and b = y-intercept, which is the initial fee that was charged that we are looking for.
First, using two pairs, (105, 183) and (140, 204), find the slope (m):
m = ⅗
To find the y-intercept, b, substitute x = 105, y = 183, and m = ⅗ into 
.
Subtract 63 from each side
The initial fee of the company is $120.
Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:
Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:
We can factor out 3^2 = 9 from both equations:
We know from a trigonometric identity that 
, meaning we can reduce the equation to:
And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.
Answer:
a) The interval for those who want to go out earlier is between 43.008 and 46.592
b) The interval for those who want to go out later is between 47.9232 and 51.9168
Step-by-step explanation:
Given that:
Sample size (n) =128,
Margin of error (e) = ±4% =
a) The probability of those who wanted to get out earlier (p) = 35% = 0.35
The mean of the distribution (μ) = np = 128 * 0.35 = 44.8
The margin of error = ± 4% of 448 = 0.04 × 44.8 = ± 1.792
The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)
b) The probability of those who wanted to start school get out later (p) = 39% = 0.39
The mean of the distribution (μ) = np = 128 * 0.39 = 49.92
The margin of error = ± 4% of 448 = 0.04 × 49.92 = ± 1.9968
The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)
The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier
Answer:
16
Step-by-step explanation:
This is what others have said
I have no clue but if u think about it with no math involved it is most likely right
This is as with 64 divided by 3 people is around 20 and and taking a few years would make since if its 16
1,655,000 maybe I not entirely sure sorry
