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?

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Find the length of the diagonal of the rectangle. round your answer to the nearest tenth. || | | 8 m | | | | 11 m

[15 points]find the quotient with the restrictions. (x^2 - 2x - 3) (x^2 + 4x + 3) ÷ (x^2 + 2x - 8) (x^2 + 6x + 8)