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Calculate the height of the cooling tower of a nuclear power plant if it is known that its shadow measures 271 meters in length from the base of the tower when the sun's rays fall at an angle of 30°.

7/8 + 1/4 =

8. A jogger generates heat energy at a rate of *735.3* W. If all this energy is removed by sweating, how much water must evaporate from the jogger's skin each hour?

A random selection is made from a collection comprising all integers between 10 and 40 inclusive. Determine the probabilities for the following scenarios: a) 𝑃(𝐸𝑣𝑒𝑛 | 𝐺𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 30) b) 𝑃(𝐺𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 30 | 𝐸𝑣𝑒𝑛) c) 𝑃(𝑃𝑟𝑖𝑚𝑒 | 𝐵𝑒𝑡𝑤𝑒𝑒𝑛 20 𝑎𝑛𝑑 30 )

What is the probability of rolling a six when rolling the dice three times?

a tortoise is walking in the desert. It walks for 9.6 meters at a speed of 6 meters per minute. For how many minutes does it walk?

sean weighs 10 lb more than twice brads weight. if brad gains 10 lb, together they’ll weigh 230 lb. how much does each weigh now?

Solve the inequality: x(x + 2)≤(−2x + 5)(x + 2) .

A recent telephone bill totaled $ 120, which included a 5% sales tax and 15% excise tax. What was the basic charge for telephone usage?

The performance of 20 students on their final exam on statistics in 1992 and for the second class of 20 students in 2017 is shown in the table below. Scores on Statistics Final Exam, 1992 and 2017 Class of 1992 Class of 2017 80 100 91 99 91 94 80 94 74 94 74 88 73 88 75 81 76 88 73 89 73 80 69 88 67 76 68 75 68 63 68 61 68 53 57 55 58 56 59 82 Use the data to answer the following questions. NOTE: For Parts B & C, use the z-score equation: and table located in Appendix A of the text (p. 697). Find the mean and standard deviation for the final exam scores in the two years, 1992 and 2017. Suppose you scored an 85 on this exam. In which distribution is your test score the farthest above the mean? How far above the mean is your score in both of these distributions? Admission to a (paid) summer internship program requires that students earn a C or better (70% or higher) on their statistics final exam. If we assume that scores (in both years) on this test are reasonably normally distributed, what percentage of students in 1992 and 2017 would qualify for this internship?