Ahamster runs at a speed of 17 centimeters per second in a wheel of radius 10 centimeters

Step-by-step explanation:

The complete question is

A hamster runs at 17 centimeters per second in a wheel of radius 10 centimeters how fast will the wheel spin in revolutions per minute?

step 1

Find the circumference of the wheel

The circumference of the circle is equal to

we have

substitute

assume

step 2

Find the number of revolutions

Remember that

One revolution of the wheel represent a distance equal to the circumference of the wheel

using proportion

so

The number of revolutions per second is

step 3

Convert to rev per minute

we know that

to convert sec to min divide by 60

so

answer is 144

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;