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2 years ago

How to find the domain and range of a function

Mathematics

1 answer:

MaRussiya [10]2 years ago

5 0

The domain are the x-values and the range are the y-values

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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

2 years ago

Please help me on the first table!!!

Nina [5.8K]

Answer:

67.50- 3.38; 70.88

98.75- 4.94; 103.69

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12,500.00- 625; 13,125.00

Step-by-step explanation:

To find the tax amount you multiply the sale amount by the percentage of sales tax(which in this case would be 0.05). To get the total amount you just add the sale amount to the sales tax.

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2 years ago

How to do n to the power of 6 ÷n to the power of 4

Zielflug [23.3K]

Answer:

n to the power of 2

Step-by-step explanation:

baiscally just subtract 6-4 to get 2

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2 years ago

Read 2 more answers

Determine whether the data described are qualitative or quantitative. The maximum speed limit on interstate highways.

dalvyx [7]

The answer is B: Quantitative

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2 years ago

Guys can someone PLEASE help me. Which of the following statements uses the multiplicative identity? -8 + 1 = 1 + (-8) (-8)(-1)

skelet666 [1.2K]

Hi! it's the third statement

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2 years ago