A dormitory manager buys 38 bed sheets and 61 towels for $791.50. The manager get another 54 bed sheets and 50 towels for $923 f
rom the same store. What is the cost of one bed sheet and one towel?
A.) $15 and $10
B.) $13.50 and $7.50
C.) $12 and $5.50
D.) $10.50 and $3
A.) $15 and $10
B.) $13.50 and $7.50
C.) $12 and $5.50
D.) $10.50 and $3
2 answers:
Conclusion:
Correct option: C is accurate.
C.) $12 and $5.50
Stepwise explanation:
Assuming that the price of one bed sheet is: $ x
and that of one towel is: $ y
Accordingly, the situation states:
- A dormitory manager procures 38 bed sheets and 61 towels for $791.50.
Hence, we set up the equation as:
38x+61y=791.50
- The manager later acquires another 54 bed sheets and 50 towels for $923
Thus, the equation becomes:
54x+50y=923
To find values of x and y, we examine the graphical representation of the equations and determine the intersection point to identify the required values.
Thus, we observe that the two lines converge at (12,5.5)
Finally, the cost of one bed sheet is $ 12
and the cost of one towel is $ 5.50
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Given the three integers are , we arrive at
We can merge the fractions on the left side:
Response:
If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
The solution yields 5 lb peanuts and 5 lb mixture.
Detailed explanation:
In the mixture that Delaney desires to create, there will be
lb
= 6 lb of peanuts
Thus, there will be (10 - 6) lb
= 4 lb of almonds
If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
From equation (2), we derive
m = 5 --------------(3)
From (1) and (3), we find that
p = (10 - 5) = 5
Complete Question
The complete question appears in the first uploaded image
Answer:
a) Yes, selecting 15 corresponds to a binomial experiment
b)
c)
d)
Regarding question a:
For an experiment to qualify as binomial
the trials have to be independent
each trial must yield one of two possible outcomes
Given that the selection of 15 individuals is random, we ascertain that the trials are independent and the outcomes are “either the individual saves for retirement or does not save for retirement.”
Therefore, we conclude that the selection of 15 people at random is indeed a binomial experiment.
In question b:
The probability that all selected adults do not save for retirement is mathematically modeled as
r = 15 implies all selected adults
n refers to the population size equating to 15
From the problem, p = 0.20
and q can be calculated as
=>
=>
Thus
Regarding question c:
The probability that exactly five of the selected adults do not save for retirement is mathematically modeled as
In relation to question d:
The probability that at least one of the selected adults opts not to save for retirement can be mathematically expressed as