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Questions in Grade College

[Done] Model the mixed radical $2 \sqrt[3]{4}$ as an entire radical. Record the value of the radicand.

[Done] Find the product. $-8 x^5 y^2 \cdot 6 x^2 y$ A. $-8 x^{10} y^2$ B. $-8 x^7 y^3$ C. $-48 x^7 y^3$ D. $-48 x^{10} y^2$

[Done] What is the radius of a circle whose equation is $x^2+y^2-10 x+6 y+18=0$? A. 2 units B. 4 units C. 8 units D. 16 units

[Done] Multiply these two fractions: $\frac{4}{3} \times \frac{5}{8}=?$

[Done] Functions of the prefrontal cortex include: A. Learning and memory B. Emotion C. Audition, vision, touch, and taste D. Planning, prioritizing, and making choices

[Done] The elements of a set may be sets themselves, as in {1, {1, 3}, {2}, 4}. Explain why the set {0} is not the same set as {{0}}. Choose the correct answer below. A. The set {0} is the set containing no elements, while {{0}} is a set containing a set 0. B. The set {0} is the set containing the empty set and the empty set is a set with no elements, while {{0}} is a set containing a set 0. C. The set {0} is the set containing the element, while {{0}} is a set containing the element 0. D. The set {0} is the set containing the empty set and the empty set is a set with no elements, while {{0}} is a set containing the element 0.

[Done] Some researchers claim there is an association between owning a dog and developing a flea infestation at home. They took a random sample of people living in St Louis, Missouri, and recorded whether they had a dog and whether they had a flea infestation in their home. The results are shown in the following two-way relative frequency table. | | Has Flea Infestation | Does Not Have Flea Infestation | Row Totals | | :-------------------- | :------------------- | :----------------------------- | :--------- | | Does not have a dog | 0.015 | 0.652 | 0.667 | | Has one dog | 0.022 | 0.261 | 0.283 | | Has more than one dog | 0.032 | 0.019 | 0.050 | | Column Totals | 0.069 | 0.931 | 1 | What is the conditional relative frequency of having more than one dog, given there is a flea infestation? Round your answer to the nearest thousandths place.

[Done] Joshua is 25 years old and has a high risk job making $72,000 a year. The insurance company charges him an extra 20% on top of his premium rate because of his job. If Joshua wants a policy that will replace five years of his salary, what is the annual premium for the cheapest policy? | Age | Annual Life Insurance Premium (per $1000 of face value) | |---|---|---|---|---|---| | | Whole Life | 20-Payment Life | 20-Year Endowment | | | Male | Female | Male | Female | Male | Female | | 25 | $15.38 | $13.38 | $26.40 | $22.04 | $34.02 | $30.87 | | 26 | 15.91 | 13.77 | 27.11 | 22.96 | 34.67 | 31.30 | | 27 | 16.27 | 14.23 | 27.97 | 23.83 | 35.23 | 31.96 | | 28 | 16.76 | 14.66 | 28.68 | 24.54 | 35.96 | 32.44 | | 29 | 17.25 | 15.09 | 29.39 | 25.25 | 36.69 | 32.92 | | 30 | 17.75 | 15.52 | 30.11 | 26.97 | 37.43 | 33.40 | A. $1,107 B. $1,328 C. $5,537 D. $6,644

[Done] Bile salts are created by the liver. They help break down fats in which organ? A. Small intestine B. Large intestine C. Liver D. Salivary glands

[Done] Which sentence best describes the role of the Federal Reserve System? A. Its role is to monitor labor cycles and regulate resources. B. Its role is to regulate US unemployment cycles. C. Its role is to regulate the US financial system. D. Its role is to monitor politicians and make recommendations.