when you do 27 times 1/7 you would get 27/7
Answer:
The median, because the data distribution is skewed to the right
Step-by-step explanation:
Min= 10.5
Q1 = 11.5
Median = 12.5
Q3= 13.5
Maximum = 15
The data is skewed towards the right because more values towards the right side as compared to the left side.
For data to be symmetrical, it has same shape on both sides of the median, which in our case is not possible.
So, for skewed data we always prefer median because it is less affected by the outliers and if mean is chosen, the value of mean is biased towards the side that has larger values while median does not get affected by it. So, we choose median.
our correct option will be:
The median, because the data distribution is skewed to the right
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
Answer:
NF = 16
Step-by-step explanation:
Since N is the incenter of ΔABC then ND = NE = NF
ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3
Now , we calculate ND:
ND = 6(3) - 2 = 18 - 2 = 16
and because NF = ND then NF is also equal to 16
If Rita has driven 30 miles so far (three-fifths of the way home), you can calculate what is the total length of her drive using the following steps:
x ... total length
three-fifths of the way home = 30 miles
3/5 of x = 30 miles
3/5 * x = 30 /*5/3
x = 30 * 5/3
x = 50 miles
The total length of her drive is 50 miles.
