Commission of sales is 8% and worker earns $2,560 commission. what are sales?
1 answer:
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Answer:
a) 10 pieces of 2/3 pound can be made.
b) 0.54 pounds of wax is left over.
Step-by-step explanation:
Total amount of clear wax available = pounds
So, the maker has in total 4.5 pounds of wax
Now, The weight of each piece = pounds
To find the number of pieces that can be made out of 4.5 pounds of wax,
let that number = n
So,
or, n =
So, nearly 6 pieces can be made completely out of the clear wax
Left over amount of wax = Total weight - Weights of the pieces made
= 4.5- 6(0.66)
= 0.54 pounds
Hence, 0.54 pounds of wax is left over
Tossing a coin is a binomial experiment.
Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.
All of these trials are independent since the result of one trial does not affect the result of the next trial.
Now, for 'n' repeated trials the total number of successes is given by
where 'r' denotes the number of successful results.
In our case and
,
Substituting the values we get,
Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.
Answer:
Explained below.
Step-by-step explanation:
(1)
The hypothesis can be defined as follows:
<em>H</em>₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. <em>μ</em> > 30.
<em>H</em>ₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. <em>μ</em> ≤ 30.
(2)
Use Excel to compute the sample mean and standard deviation as follows:
Compute the test statistic as follows:
The degrees of freedom is:
df = n - 1
= 36 - 1
= 35
Compute the p-value as follows:
(3)
The <em>p</em>-value = 0.0006 is very small.
The null hypothesis will be rejected at any of the commonly used significance level.
(4)
There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.
