A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 99% confidence interval with a maximum error of 0.2 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 5.76, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement

The product of 3 and a number increased by 8 is 31