Answer: The total cost is $53.13
Step-by-step explanation: The cost of the birthday meal is $46.20 excluding the tip. The tip is 15%. Thus $46.20×15%=$6.93
We have to add this amount to the initial cost $46.20+$6.93= $53.13
Answer:
Step-by-step explanation:
We want to construct a 99% confidence interval for the population mean
Number of sample, n = 60
Mean, u = $150
Standard deviation, s = $36
For a confidence level of 99%, the corresponding z value is 2.58. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
150 ± 2.58 × 36/√60
= 150 ± 2.58 × 4.65
= 150 ± 11.997
The lower end of the confidence interval is 150 - 11.997 = 138.003
The upper end of the confidence interval is 150 + 11.997 =161.997
Therefore, with 99% confidence interval, the population mean is between $138.003 and $161.997
Answer:
They do not form a right triangle
Step-by-step explanation:
Answer:
Abigail walks more steps than Mary.
To find out who many steps each one of them walks in a week, we have to carry out different calculations starting with Abigail.
Calculation for number of steps taken by Abigail
Abigail takes 6000 steps in 50 minutes. We can use this information to scale up his number of steps over a period of 5 hours(300 minutes.). The quickest way to do this calculation, is to notice that there are 6 different 50 minute segments in 300 minutes. This means that the number of steps taken in 5 hours is steps.
Another way to do this calculations is to use proportions
.
Abigail takes 36000 steps that week.
Calculation for number of steps taken by Mary
The number of steps taken by Mary is given by the is given by the function where is the time in minutes. Mary walks for a total of 5 hours or 300 minutes. We calculate the number of steps she takes as shown below,
Mary takes a total of 35400 steps.
Since 36000 steps is greater than 35400 steps, we conclude that Abigail walks more steps than Mary.