You want to join the “Farm-to-Table” crowd and build your own raised garden bed! Polynomials could be helpful in finding the ideal dimensions for this garden bed. Your mission is to choose one of the following shapes and find the area of it. You will generalize the dimensions of your shape with a binomials, like (x + 5), where x is a variable length (in feet or meters). Select the shape of your garden bed from the following shapes. Here are the formulas for their areas:
garden shape formulas
Model the dimensions for your garden bed as a binomial of the format (x + ___). Make sure to choose either feet or meters as the units.
Multiply the dimensions together according to the area formula. Make sure to apply the correct units to your answer. Write your trinomial in standard form.

When turned about its axis of rotation, which shape could have created this three-dimensional object?

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.

Student representatives surveyed their classmates on their preference of a school mascot for a new school. the results are shown in the table below. which pair of samples seems most representative of student preference?