Answer:
Step-by-step explanation:
The foci are horizontally aligned.
horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
center (h,k)
vertices (h±a,k)
length of minor axis = 2b
foci (h±c,k), c² = a²-b²
Apply your data and solve for h, k, a, and b.
foci (±3√19, 6)
h = 0
k = 6
Length of minor axis = 2b = 10
b = 5
foci (h±3√19, 6)
c = 3√19
c³ = a² - b²
171 = a² - 25
a² = 196
x²/196 + (y-6)²/25 = 1
You have to calculate how many combinations of 6 people can be chosen from 11. The formula for this is:
n! / [r! * (n-r)!]
combinations = 11! / [6! * 5!] =
11 * 10 * 9 * 8 * 7 / 5 * 4 * 3 * 2 *1 =
11 * 3 * 2 * 7 =
462 Combinations
Source:
http://www.1728.org/combinat.htm
Answer:
20
Step-by-step explanation:
Assume n is the number of times she pick a skittle out of the bag
The probability she pick out red : 8/n
The probability she pick out yellow : 12/n
=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.
But we have 50 skittles, so the likely numbers of reds in the bag is = 2*
= 20
Answer:
48 mi²
Step-by-step explanation:
Extending the center vertical line to the bottom edge of the figure causes it to divide the figure into two rectangles. One is 7 mi high by 4 mi wide; the other is 2 mi high by (14 -4) = 10 mi wide.
The area of each is the product of its height and width, so the total area is ...
A = (7 mi)(4 mi) +(2 mi)(10 mi) = 28 mi² +20 mi² = 48 mi²
The area of the given geometric figure is 48 mi².
Answer:
12?
Step-by-step explanation:
