Answer:
a
b
Step-by-step explanation:
From the question we are told that
The probability that an employees suffered lost-time accidents last year is 
The probability that an employees suffered lost-time accident during the current year is
The probability that an employee will suffer lost time during the current year given that the employee suffered lost time last year is
Generally the probability that an employee will experience lost time in both year is mathematically represented as
=> 
=> 
Generally the percentage of employees that will experience lost time in both year is mathematically represented as
=> 
=>
Generally the probability that an employee will experience at least one lost time accident over the two-year period is mathematically represented as
=> 
=> 
Generally the percentage of the employees who will suffer at least one lost-time accident over the two-year period is mathematically represented as
=> 
=>
Answer:
4.05% probability that a randomly selected adult has an IQ greater than 123.4.
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 question, we have that:
Probability that a randomly selected adult has an IQ greater than 123.4.
This is 1 subtracted by the pvalue of Z when X = 123.4. So
has a pvalue of 0.9595
1 - 0.9595 = 0.0405
4.05% probability that a randomly selected adult has an IQ greater than 123.4.
Answer:
y = -7.2x + 540
Step-by-step explanation:
to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)
slope = 540/-75 or -7.2
-2.54 is equal to -2 27/50
Answer:
Solution x = - 1
Step-by-step explanation:
3 / (2x+1) = 9 / 3x
Cross multiply
3(3x) = 9(2x + 1)
Distributive property
9x = 18x + 9
Subtract 18x from both sides
-9x = 9
Divide both sides by -9
x = -1
