Answer:11 honestly have no idea but im going to give my best answer it is 31
Answer:
-6 <u>></u> x
Step-by-step explanation:
3 (x-6) +2 ≥ 5x - 4
3x-18 + 2 <u>></u> 5x - 4
3x - 18 <u>></u> 5x - 6
-18 <u>></u> 2x - 6
-12 <u>></u> 2x
-6 <u>> </u>x
Answer:
AB is parallel to A'B'.
DO,1/2 (1/2x, 1/2y) =
The distance from A' to the origin is half the distance from A to the origin.
Step-by-step explanation:
Answer:
Tn = 2Tn-1 - Tn-2
Step-by-step explanation:
Before we can generate the recursive sequence, we need to find the nth term of the given sequence.
nth term of an AP is given as:
Tn = a+(n-1)d
If a17 = -40
T17 = a+(17-1)d = -40
a+16d = -40 ...(1)
If a28 = -73
T28 = a+(28-1)d = -73
a+27d = -73 ...(2)
Solving both equations simultaneously using elimination method.
Subtracting 1 from 2 we have:
27d - 16d = -73-(-40)
11d = -73+40
11d = -33
d = -3
Substituting d = -3 into 1
a+16(-3) = -40
a - 48 = -40
a = -40+48
a = 8
Given a = 8, d = -3, the nth term of the sequence will be
Tn = 8+(n-1) (-3)
Tn = 8+(-3n+3)
Tn = 8-3n+3
Tn = 11-3n
Given Tn = 11-3n and d = -3
Tn-1 = Tn - d... (3)
Tn-1 = 11-3n +3
Tn-1 = 14-3n
Tn-2 = Tn-2d...(4)
Tn-2 = 11-3n-2(-3)
Tn-2 = 11-3n+6
Tn-2 = 17-3n
From 3, d = Tn - Tn-1
From 4, d = (Tn - Tn-2)/2
Equating both common difference
(Tn - Tn-2)/2 = Tn - Tn-1
Tn - Tn-2 = 2(Tn - Tn-1)
Tn - Tn-2 = 2Tn-2Tn-1
2Tn-Tn = 2Tn-1 - Tn-2
Tn = 2Tn-1 - Tn-2
The recursive formula will be
Tn = 2Tn-1 - Tn-2
Answer:
The required probability is 0.94
Step-by-step explanation:
Consider the provided information.
There are 400 refrigerators, of which 40 have defective compressors.
Therefore N = 400 and X = 40
The probability of defective compressors is:
It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,
That means n=15
Apply the probability density function.
We need to find P(X ≤ 3)
Hence, the required probability is 0.94
