32. If a smoothie recipe calls for 8 pints of mango juice but only 10 cups of mango juice are available, what is the scaling factor the other ingredients in the recipe need to be multiplied by?

Of the 400 balls in a large bag, 4/5 are red and the rest are blue. How many red balls must be removed from the bag so the 3/4 of the remaining balls are red?

A scientist investigated the effect of​ cross-fertilization on the heights of plants. In one​ study, the scientist planted 15pairs of a species of plant. Each pair consisted of one​ cross-fertilized plant and one​ self-fertilized plant grown in the same pot. The table available below gives the height​ differences, in eighths of an​ inch, for the 15 pairs. Each difference is obtained by subtracting the height of the​ self-fertilized plant from that of the​ cross-fertilized plant. Use the paired​ t-interval procedure to determine a 99​% confidence interval for the difference between the mean heights of​ cross-fertilized and​ self-fertilized plants. Interpret the result.​ (Note: d=19.00 and sd=35.50​.)       The 99​%confidence interval is from ____ eighths of an inch to_____ eighths of an inch. ​(Round to two decimal places as needed. Use ascending​ order.)   Which statement below best interprets the confidence​ interval? A. There is 99​%confidence that the difference between the…

5. Jes makes 4 pizzas on her own in 20 minutes, whereas Kyle, on his own, makes 4 pizzas in 30 minutes. How long, in minutes, does it take Jes and Kyle to make 20 pizzas when they work together?