Answer:
A higher value of standard deviation tells us that there is high variability in the length of the snake from the mean length of the snake.
Step-by-step explanation:
We are given the following information in the question:
Sample of snakes in the Clarmont Zoo's reptile house are as follows:
9, 15, 86, 13, 16, 101, 85, 10, 14, 16, 102
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 1119.206611 + 753.7520659 + 1896.206612 + 867.5702477 + 699.842975 + 3427.570248 + 1810.115703 + 1053.29752 + 809.6611568 + 699.842975 + 3545.661158 = 16682.72727
Standard deviation:
- Standard deviation tells you how spread out the data is.
- It is a measure of how far each observed value is from the mean.
- A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.
A higher value of standard deviation tells us that there is high variability in the length of the snake from the mean length of the snake. The data is overspread over a wide range.
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3
Answer:
5,633,895,075
Step-by-step explanation:
Answer: A. 13ft
Explanation:
a^2 + b^2 = c^2
a = 5, b = 12
5^2 = 25, 12^2 = 144
25 + 144 = 169
Square root of 169 = 13
I think I would set a proportion for this. 1 1/2 hours is 90 minutes. So 90 minutes and 90 miles.
90 300
—- = ——.
90 X
As you can see, miles on top and minutes on the bottom. Now, cross multiply. 90x = 300(90)
90x=27,000
Divide by 90 on both sides to get x alone.
90x/90= x 27,000/90=300
300 minutes would be 5 hours!
