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3 years ago

Which of these is a formal definition in

Mathematics

1 answer:

kakasveta [241]3 years ago

6 0

Answer: C because that is the actual definition.

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Out of 25 students taking a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus

Burka [1]

Answer:

Percentage of students who tried both questions = $8\%$

Percentage of students who tried at least one question = $96\%$

Step-by-step explanation:

Given: 25 students take a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus question, and 1 didn't bother with either one.

To find: percentage of students who tried both questions and percentage of students who tried at least one question

Solution:

Let A denotes students who answered the first of two bonus questions and B denotes students who answered the second bonus question.

Let U denotes the universal set denoting students who take a midterm psychology exam.

$n(A)=15\,,\,n(B)=11\,,\,n(U)=25$

$n\left ( A'\cap B' \right )=1$

$n\left ( A'\cap B' \right )=n\left ( A\cup B \right )'\\=n(U)-n\left ( A\cup B \right )\\\Rightarrow 1=25-n\left ( A\cup B \right )\\n\left ( A\cup B \right )=25-1=24$

$n\left ( A\cup B \right )=n(A)+n(B)-n\left ( A\cap B \right )\\24=15+11-n\left ( A\cap B \right )\\n\left ( A\cap B \right )=15+11-24=2$

Percentage of students who tried both questions = $\frac{2}{25}\times 100=8\%$

Percentage of students who tried at least one question = $\frac{24}{25}\times 100=96\%$

7 0

3 years ago

Write an expression equivalent to (5p^2-3)+(2p^2-3p^3) in standard format

salantis [7]

Answer:

-3p^3+7p^2-3

Step-by-step explanation:

7 0

3 years ago

70 POINTS PLEASE HELP!!!

Doss [256]

Answer:

D 70

Step-by-step explanation:

3.5*20

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How do you factor a polynomial when one root has been given

zloy xaker [14]

So first what you are going to do is divide synthetically your root aka factor into your given equation. Then you are going to kind of guess ands check to find the other factor by synthetically dividing what you have left which should be
x^2 +2x +1 by -5, 5 (to make sure there is no multiplicity), 1, and -1 until you get zero in your remainder spot. The number you used to divide will be your other root.

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3 years ago

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Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation

nasty-shy [4]

Answer:

C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Step-by-step explanation:

See figure for intermediate steps.

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3 years ago

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