yes! what do you need?
Step-by-step explanation:
Answer:
Step-by-step explanation:
The team draws with a probability of 1 = (0.5 + 0.2) = 0.3
If the team does not win then it loses or draws.
Loosing = 0.2
Draw := 0.3
P(not win) = 0.2 + 0.3 = 0.5
======================
Not lose means wins or draws.
P(not lose) = 0.5 + 0.3 = 0.8
======================
Not Draw means wins or loses
P(not draw) = 0.5 + 0.2 = 0.7
Of course all of these could be done more directly.
P(not win)= (1 - win) = 1- 0.5 = 0.5
P(not lose) = ( 1 - lose) = 1 - 0.2 = 0.8
P(not draw) = (1 - 0.3) = 0.7
Combine like terms: Then solve
(-5a3 + 6a3) + (-2a2 +9a2) + 8a =
P = -16
Subtract 7 from both sides to isolate the variable.
Answer:
The bulbs should be replaced each 1436.9 hours.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?
This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.
So it is X when Z = -2.33.




The bulbs should be replaced each 1436.9 hours.