The calibration of a scale is to be checked by weighing a 10-kg test specimen 25 times. suppose that the results of different weighings are independent of one another and that the weight on each trial is normally distributed with σ = .200 kg. let µ denote the true average weight reading on the scale. (a) what hypotheses should be tested? (b) with the sample mean itself as the test statistic, what is the p-value when x = 9.85, and what would you conclude at significance level .01? (c) for a test with α = .01, what is the probability that recalibration is judged unnecessary when in fact µ = 10.2?

In a certain pentagon, the interior angles are a,b,c,d,e where a,b,c,d,e are integers strictly less than 180. ("strictly less than 180" means they are "less than and not equal to" 180.) if the median of the interior angles is 61 and there is only one mode, then what are the degree measures of all five angles?

If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system? a. there are infinitely many solutions. b. there is no solution. c. there is exactly one solution. d. the lines in a system cannot be parallel.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =