Answer:
The linear speed of the bike is 19.242 miles per hour.
Step-by-step explanation:
If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (
), measured in inches per second, is:
Where:
- Radius, measured in inches.
- Angular speed, measured in radians per second.
Now, the angular speed must be converted from revolutions per minute into radians per second:
The speed of the bike is: (
and )
Lastly, the outcome is converted into miles per hour:
The linear speed of the bike is 19.242 miles per hour.
Answer:
The correct option is b) 1.70
Step-by-step explanation:
Consider the provided information.
The weekly sulfur dioxide emissions follow a normal distribution with a mean of 1000 ppm (parts per million) and a standard deviation of 25.
Thus, μ=1000 and σ = 25
The CEO wants to know if the mean level of emissions is different from 1000.
Therefore the null and alternative hypothesis is:
and 
The sample size is n = 50 and 
ppm.
Now calculate the test statistic by using the formula: 
Substitute the respective values in the above formula.
Hence, the correct option is b) 1.70
Answer:
50 degrees (same as the other degree)
Answer:
Henry after 2 months: 250
His brother after 2 months: 220
Step-by-step explanation:
Henry started with $200 so add $25 twice (for 2 months) and get $250 dollars after 2 months.
His brother started with $150 so add $35 twice and get $220 dollars after 2 months
Answer:
200
Step-by-step explanation:
if x is the original number:
