Consider the following distribution of scores with a mean of 80 and a standard deviation of 20. For the letters A, B, C, and D in the boxes beneath the line labeled “z” give the z-scores corresponding to each position in the distribution. One z-score is already filled in (–1). Suppose you also want to standardize these scores to a “k” scale where the mean of k is 50 and the standard deviation is 10. For the letters E, F, G, and H in the boxes beneath the line labeled “k” give the k-scores corresponding to each position in the distribution. One k-score is already filled in (60).

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

At the county fair, the baxter family bought 6 hot dogs and 4 juice drinks for $12.90. the farley family bought 3 hot dogs and 4 juice drinks for $8.55. find the price of a hot dog and the price of a juice drink.

Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. if she buys 2 sketchpads, how many pemcils can she buy while staying in her price range? fatima can buy between and pencils. ? (type whole numbers. use ascending? order.)