Steven, Lisa and Mark want to buy a pizza. Steven said he could pay twice as much as Lisa. Mark said he could pay the remaining
2 answers:
You might be interested in
Given:
Susie has 34 nickels and dimes. Their total value is $2.35.
To find:
The number of nickels and number of dimes.
Solution:
Let the number of nickels be x and number of dimes be y.
Susie has 34 nickels and dimes.
....(i)
We know that,
1 nickel = $0.05
1 dime = $0.10
Their total value is $2.35.
Multiply both sides by 100.
Divide both sides by 5.
...(ii)
Subtracting (i) from (ii), we get
Putting y=13 in (i), we get
Therefore, number of nickels is 21 and number of dimes is 13.
Answer:
(a) The probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hours is 0.7492.
(b) The values representing the 95th percentile for the mean time to complete one month's reviews is 4.50 hours.
Step-by-step explanation:
The random variable <em>X</em> is defined as the time it takes her to complete one review.
The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = 4 hours and <em>σ</em> = 1.2 hours.
A random sample of <em>n</em> = 16 reviews are selected as a set.
(a)
Compute the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hours as follows:
Thus, the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hours is 0.7492.
(b)
The <em>p</em>th percentile is a data value such that at least <em>p</em>% of the data set is less than or equal to this data value and at least (100 - <em>p</em>)% of the data set are more than or equal to this data value.
So, the 95th percentile for the mean time to complete one month's reviews can be represented as:
This implies that:
The value of <em>z</em> is:
<em>z</em> = 1.645
Compute the value of <em>a</em> as follows:
Thus, the values representing the 95th percentile for the mean time to complete one month's reviews is 4.50 hours.