The dog’s leash is 60 inches long. If the dog walks back and forth with its leash pulled tight while the leash is tied to the light post, it will walk in part of a circle. If the dog’s leash rotates through 150° , how far does the dog walk ? Arc Length=

150.08 inches

Step-by-step explanation:

The question simply requires that we find the length of the arc that the dog walks.

Its leash rotates through 150° and the length of the leash (radius) is 60 inches.

The length of an arc is given as:

L = α/360 * 2πR

where α = angle of arc

R =radius

Therefore:

L = 150/360 * 2 * π * 60

L = 150.08 inches

The dog walks 150.08 inches

Step-by-step explanation:

For this case we have the following info given:

Treatment: 12 13 15 19 20 21 24

Control: 18 23 24 30 32 35 39

We can find the sample mean and deviations with the the following formulas:

And repaplacing we got:

the sample mean for treatment

the sample mean for treatment

the sample deviation for treatment

the sample deviation for control

the sample size for each sample

The degrees of freedom are given by:

The confidence interval for the difference of means is given by:

The confidence is 98% so then the significance is and . Then the critical value would be:

And replacing we got: