a bag contains 5 red marbles and 7 blue marbles if you draw a marble without looking what is the probability it will be red
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HESI A2

HESI A2 Math Portion

1. A bag contains 5 red marbles and 7 blue marbles. If you draw a marble without looking, what is the probability it will be red?

Correct answer: B

Rationale: The total number of marbles in the bag is 5 (red) + 7 (blue) = 12 marbles. The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: 5/12. Simplifying 5/12 gives 1/3. Therefore, the correct probability of drawing a red marble is 1/3. Choice A (1/4) is incorrect because there are more red marbles than 1/4 of the total marbles. Choice C (1/2) is incorrect as it represents half of the total marbles. Choice D (2/3) is incorrect as it implies there are more red marbles than there actually are.

2. Choose the meaning of the word 'sanguinary' in the following sentence: 'Surgery is often a sanguinary procedure.'

Correct answer: B

Rationale: The word 'sanguinary' is derived from the Latin word 'sanguinarius,' meaning bloodthirsty or bloodshed. In the context of the sentence, 'sanguinary' is used to indicate that surgery is a procedure that involves bloodshed. Therefore, the correct answer is B. Choice A ('Hopeful or cheerful') is incorrect because 'sanguinary' does not convey a positive or cheerful meaning. Choice C ('Difficult and protracted') is incorrect as 'sanguinary' specifically relates to blood or bloodshed, not difficulty or prolongation. Choice D ('Tricky and sensitive') is incorrect as 'sanguinary' does not imply trickiness or sensitivity but rather the presence of blood or bloodshed.

3. If an investment earns 5% interest annually, how much interest will it earn in 1 year on a principal of $1,000?

Correct answer: B

Rationale: The correct answer is B: $50. To calculate the interest earned on an investment with a 5% interest rate on a principal of $1,000, you simply multiply the principal amount by the interest rate. 5% of $1,000 is $50. Therefore, the investment will earn $50 in interest in 1 year. Choice A, $40, is incorrect because it represents 4% interest instead of 5%. Choice C, $60, is incorrect because it overestimates the interest earned. Choice D, $55, is incorrect as it does not accurately reflect the 5% interest on the principal amount.

4. What number represents the number of protons an element has?

Correct answer: C

Rationale: The correct answer is C, atomic number. The atomic number corresponds to the number of protons in an element. This number is unique to each element and determines its placement on the periodic table. It is equal to the number of protons found in the nucleus of an atom of that element. Choice A, atomic mass, represents the average mass of an element's isotopes. Choice B, mass number, is the sum of protons and neutrons in an atom. Choice D, neutron number, specifically refers to the count of neutrons in an atom and not protons.

5. What punctuation is needed in the following sentence to make it correct? Have you finished reading the lab results so we can schedule an appointment with the patient?

Correct answer: C

Rationale: The correct punctuation needed in the sentence is a question mark. The sentence is a question, asking whether the lab results have been read in order to schedule an appointment. Therefore, a question mark is needed at the end of the sentence to indicate that it is an inquiry. The period is used for statements, not questions. A comma would not be appropriate here as the sentence is not a list or a compound sentence. An exclamation mark would imply excitement or surprise, which is not the tone of the sentence.

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