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
We are trying to find the <em>Least Common Multiple</em>. This is a number that both 4 and 8 can be multiplied by a whole number to achieve, more specifically, the minimum of that list of numbers. This one is really simple. Since 8 is a multiple of 4 (4 x 2 = 8), the LCM is 8! (8 is also a multiple of 8 because 8 x 1 = 8).
<u>So the answer is 8.</u>
Step-by-step explanation:
Let x be the lost number then
x - 2/3 = 1/2
x = 1/2 + 2/3
x = (3 + 4)/6
x = 7/6
Answer:
15
Step-by-step explanation:
A triangle's area is its base times height divided by 2.
You draw a circle from the tip of the triangle. Then you draw equal-sized circles from the points where the first circle intersects the triangle. Connect the tip of the triangle and the point where the equal-sized circles intersect each other.
