Select one or an ext answer options according come the specific question directions.

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If the question does not specify how plenty of answer choices to select, pick all that apply.

The correct answer may be simply one that the selections or as many as every one of the choices, depending on the question.No credit transaction is provided unless girlfriend select every one of the correct choices and no others.If the concern specifies how many answer selections to select, choose exactly that variety of choices.

Which 2 of the complying with numbers have actually a product that is between –1 and 0?

Indicate both of the numbers.

–20–102 –43 –2Explanation

For this question, friend must pick a pair of price choices. The product that the pair should be negative, therefore the possible products room (–20)(2–4), (–20)(3–2), (–10)(2–4), and also (–10)(3–2). The product must additionally be greater than –1. The an initial product is

, the 2nd product is ,and the third product is, , so you have the right to stop there. The exactly answer is composed of options B (–10) and also C (2–4).Which the the following integers are multiples of both 2 and 3?

Indicate every such integers.

8912182136Explanation

You can very first identify the multiples that 2, which space 8, 12, 18, and also 36, and then amongst the multiples the 2 determine the multiples of 3, which room 12, 18, and 36. Alternatively, if girlfriend realize that every number the is a lot of of 2 and also 3 is likewise a multiple of 6, you can identify the options that room multiples the 6. The exactly answer consists of options C (12), D (18), and also F (36).

Each employee that a certain company is in one of two people Department X or department Y, and there are an ext than twice as numerous employees in department X together in room Y. The average (arithmetic mean) value is $25,000 for the employees in room X and $35,000 because that the employee in room Y. I m sorry of the following amounts could it is in the median salary for every one of the employee of the company?

Indicate all such amounts.

$26,000$28,000$29,000$30,000$31,000$32,000$34,000Explanation

One strategy because that answering this type of concern is to uncover the least and/or greatest possible value. Clearly the median salary is in between $25,000 and also $35,000, and every one of the answer options are in this interval. Since you space told that there are much more employees v the reduced average salary, the median salary of all employees must be less than the mean of $25,000 and also $35,000, which is $30,000. If over there were exactly twice as numerous employees in department X as in department Y, climate the mean salary for all employees would certainly be, come the nearest dollar, the complying with weighted mean,

dollars

where the load for $25,000 is 2 and the load for $35,000 is 1. Because there are much more than double as numerous employees in room X as in department Y, the actual average salary should be even closer to $25,000 due to the fact that the weight for $25,000 is higher than 2. This means that $28,333 is the greatest feasible average. Among the choices given, the feasible values the the median are because of this $26,000 and $28,000. Thus, the correct answer is composed of choices A ($26,000) and also B ($28,000).

Intuitively, you can expect that any type of amount between $25,000 and also $28,333 is a feasible value that the median salary. To see that $26,000 is possible, in the weighted typical above, usage the particular weights 9 and 1 instead of 2 and also 1. To watch that $28,000 is possible, usage the particular weights 7 and 3.

Which of the following can be the units digit the

where n is a hopeful integer?Indicate every such digits.

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Explanation

The systems digit that

is the same as the systems digit the for all confident integers n. To watch why this is true for compute by hand and observe exactly how its systems digit outcomes from the devices digit of Because this is true because that every optimistic integer n, you need to take into consideration only strength of 7. Beginning with and proceeding consecutively, the systems digits that 7, and are 7, 9, 3, 1, and 7, respectively. In this sequence, the an initial digit, 7, shows up again, and also the sample of 4 digits, 7, 9, 3, 1, repeats without end. Hence, these 4 digits are the only feasible units number of and therefore of The exactly answer consists of selections B (1), D (3), H (7), and also J (9).