Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
A group of k elements can be chosen from a group of n elements in

ways.

The answer is B. 495.
T(4,-1) means move 4 units to the right and 1 unit down.
Based on the image, M(-3,4) ; N(-2,1) ; P(-4,2)
So,
M:
-3 move 4 units to the right becomes 1
4 move 1 unit down becomes 3
M'(1,3)
N
-2 move 4 units to the right becomes 2
1 move 1 unit down becomes 0
N"(2,0)
P
-4 move 4 units to the right becomes 0
2 move 1 unit down becomes 1
P''(0,1)
Answer: center (1;0), radius = 2
Step-by-step explanation:
x² – 2x + 5+ y² = 8
x² – 2x + 5+ y² = x² – 2x + 1 + 4 + y² = (х-1)² +4 + y²
(х-1)² +4 + y² = 8
(х-1)² + y² = 8 - 4 = 4
(х-1)² + y² = 2²
center (1;0), radius = 2
Add 12 to both sides.
q-12 > 3
q > 15
ANSWER: q > 15