You ride through some wet paint on your bike, creating a red spot on the tire. Write a cosine equation to model the height of the red spot over the distance you ride. • Your bike tire has a radius (r) of 12 inches. • The period is the circumference of the tire (2pi r). Start the cycle when the spot is at the top of the tire. (answer choices in picture)​

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

15 there is a line that includes the point 0,10 and has a slope of 7/4. what is it’s equation in slope intercept form

What is the probability of throwing several dice with sum equal to 6 (six)? show the ways of possibilities for sum 6 (as the numerator) and the ways of throwing n dices for n = 1, 2, 3, 4 or 5 as denominator for all the questions to earn full credits. (a)throw one die, (b) throw two dice, (c) throw three dice (d) throw 4 dice, (e) throw 5 dice