Answer:
The speed of the tyre of the car is 1002.24 feet per minute .
Step-by-step explanation:
Given as :
The radius of the car wheel = r = 16 inches
Since 12 inches = 1 feet
So, 16 inches = 
×16 = 1.33 feet
The number of revolution of the wheel = 120 revolution per minute
Let The speed of the wheel = s feet per minute
The circumference of wheel = 2 × 
× radius
where = 3.14
or, circumference = 2 × 3.14 × 1.33
Or, Circumference = 8.352 feet
Now , Speed = circumference of wheel × number of revolution
or, Speed = 8.352 feet × 120 revolution per minute
∴ Speed = 1002.24 feet per minute
Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer
Answer:
x > 36 in
Step-by-step explanation:
Let x = the width of the picture frame.
Then x + 6 = the length of the frame.
The formula for the perimeter P of a rectangle is'
P = 2l + 2w.
So, the condition is
2l + 2w > 156
2(x + 6) + 2x > 156 Distribute the 2
2x + 12 + 2x > 156 Combine like terms
4x + 12 > 156 Subtract 12 from each side
4x > 144 Divide each side by 4
x > 36
The perimeter of the picture frame will be greater than 156 in if x > 36 in.
Answer:
B) A one-sample t-test for population mean would be used.
Step-by-step explanation:
The complete question is shown in the image below.
The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.
The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.
Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.
If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.
Therefore, we can conclude that A one-sample t-test for population mean would be used.
