Answer:
E(x) = 1.43 (Approx)
Step-by-step explanation:
Given:
Total number of camera = 7
Defective camera = 5
Sample selected = 2
Computation:
when x = 0
P(x=0) = 2/7 × 1/6 = 2/42
P(x=1) = [2/7 × 5/6] + [5/7 × 2/6] = 20/42
P(x=2) = 5/7 × 4/6 = 20/42
So,
E(x) = [0×2/42] + [1×20/42] + [2×20/42]
E(x) = 1.43 (Approx)
Answer:
Step-by-step explanation:
Given that :
Number of teams = 14
Each team plays every other team twice ;
Using the combination formula :
nCr = n! ÷ (n-r)! r!
14C2 = 14! ÷ (14 - 2)! 2!
14C2 = 14! ÷ (12)! 2!
14C2 = (14 * 13) ÷ 2 * 1
14C2 = 182 / 2
14C2 = 91
Hence, since they are going to be playing each other twice :
2(14C2)
2 * 91 = 182games
N; n+1; n+2 - 3 consecutive numbers
n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²
n² + n = n² + 4n + 4 - 19 |subtract n² from both sides
n = 4n - 15 |subtract 4n from both sides
-3n = -15 |divide both sides by (-3)
n = 5
n + 1 = 5 + 1 = 6
n + 2 = 5 + 2 = 7
Answer: 5; 6; 7.
Answer:
82
Step-by-step explanation:
2*5 + 9*8 = 10 + 72 = 82
Point slope equation:
y-y1=m(x-x1)
m=slope
So we simply plug in our given information:
x1=-8
y1=2
m=1/2
y-2=1/2(x-(-8)
2 minus signs next to each other make a positive
Final answer:
y-2=1/2(x+8)
