Response:
Based on the anticipated number of individuals completing the form to claim the refund, the company ought to foresee its net profit decreasing to:
- $174.6 per computer tablet.
Detailed explanation:
Initially, the profit per tablet is $180, but after initiating the rebate program, it is expected that 18% of purchasers will fill out the forms and obtain the VISA card, which will lower the profit as demonstrated below:
- Calculation of the reduced benefit for 18% of computer tablets = original benefit - refund amount.
- Reduced benefit for 18% of tablets = $180 - $30 = $150
From here, we find that 18% of tablets will yield a benefit of $150, while the other 82% will maintain a benefit of $180. To ascertain an overall figure for the benefit, we must compute it as follows:
- Total benefit = Percentage of reimbursed tablets * Benefit of reimbursed tablets + Percentage of non-reimbursed tablets * Benefit of non-reimbursed tablets.
- Overall profit = 18% * 150 + 82% * 180
- Overall profit = $174.6
Thus, after the $30 rebate on 18% of the tablets, the total benefit amounts to $174.6.
Answer: 0.5507
Step-by-step explanation:
Given: The time between sightings of speeders by a radar system is represented by the continuous random variable X, which follows a cumulative distribution function
If we convert 12 minutes into hours, it equals 
hours or 0.2 hours.
To find the probability of waiting less than 12 minutes:
Thus, the probability we are looking for is: 0.5507
Response:
$54
Detailed steps to explanation:
Initially
45 multiplied by.05 equals 2.25
Next
45 added to 2.25
Following that
45 multiplied by.15 equals 6.75
Finally
45 plus 2.25 plus 6.75
Answer:
Step-by-step explanation:
The question is 
We let 
, so the equation becomes:
Where 
By applying the quadratic formula, we arrive at:
Quadratic formula: 
Substituting yields:
We let , thus x calculates to:
and
The solutions to the equation are (rounded to 2 decimal places) and (rounded to 2 decimal places)
Answer:
0.40
Step-by-step explanation:
The percentage of members who engage only in long-distance running is 8%
Therefore, the probability that a member focuses solely on long-distance running is P(A) = 0.08
The percentage of members who participate exclusively in field events is 32%
Thus, the probability of a member competing only in field events is P(B) = 0.32
The percentage of members acting as sprinters is 12%
So, the probability that a member is a sprinter is P(C) = 0.12
We need to determine the probability that a team member is either an exclusive long-distance runner or an only field event competitor, which equates to finding P(A or B). Since these two events cannot occur simultaneously, we can express this as:
P(A or B) = P(A) + P(B)
Substituting the known values results in:
P(A or B) = 0.08 + 0.32 = 0.40
Thus, the likelihood that a randomly selected team member runs exclusively long-distance or participates solely in field events stands at 0.40
