Josh and Lucy share some money in the ratio of 3 : 7 they share 84 in total how much money does Josh receive

Mathematics

1 answer:

Ann [662]2 years ago

7 0

27.30 is the answer

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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.

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

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

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