Arandom sample of 64 bags of white cheddar popcorn weighed, on average, 5.45 ounces with a standard deviation of 0.25 ounce. test the null hypothesis that μ=5.5 ounces against the alternative hypothesis, μ< 5.5 ounces, at the 0.05 level of significance. what is the p-value?

The graph and table shows the relationship between y, the number of words jean has typed for her essay and x, the number of minutes she has been typing on the computer. according to the line of best fit, about how many words will jean have typed when she completes 60 minutes of typing? 2,500 2,750 3,000 3,250

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Which geometric principle is used to justify the construction below?