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
Answer:
3 possible prime divisors that go into 420 and 540:
2,3,5
hope this helps!
Step-by-step explanation:
According to the law of sines:

Using the given values, we can find the angle B and find the number of possible triangles that can be formed.

The range of sin is from -1 to 1. The above expression does not yield any possible value of B, as sin of no angle can be equal to 1.45.
Therefore, we can conclude that no triangle exists with the given conditions.
Answer:
The excluded value is x = 5/6
Step-by-step explanation:
Here, we want to calculate the excluded value
The excluded value is simply the value of x that will make the denominator of the fraction equals zero
We have this as;
6x -5 = 0
6x = 5
x = 5/6