= <span>678.58 divided by pi = 216
your answer is the first bubble</span>
20 / 27 is the probability that a student chosen randomly from the class passed the test or completed the homework.
<u>Step-by-step explanation:</u>
To find the probability that a student chosen randomly from the class passed the test or complete the homework :
Let us take,
- Event A ⇒ a student chosen randomly from the class passed the test
- Event B ⇒ a student chosen randomly from the class complete the homework
We need to find out P (A or B) which is given by the formula,
⇒ P (A or B) = P(A) + P(B) - P(A∪B)
<u>From the given table of data,</u>
- The total number of students in the class = 27 students.
- The no.of students passed the test ⇒ 15+3 = 18 students.
P(A) = No.of students passed / Total students in the class
P(A) ⇒ 18 / 27
- The no.of students completed the homework ⇒ 15+2 = 17 students.
P(B) = No.of students completed the homework / Total students in the class
P(B) ⇒ 17 / 27
- The no.of students who passes the test and completed the homework = 15 students.
P(A∪B) = No.of students both passes and completes the homework / Total
P(A∪B) ⇒ 15 / 27
Therefore, to find out the P (A or B) :
⇒ P(A) + P(B) - P(A∪B)
⇒ (18 / 27) + (17 / 27) - (15 / 27)
⇒ 20 / 27
∴ The P (A or B) is 20/27.
Answer:
Step-by-step explanation:
We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.
To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:
1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in 
ways.
2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is 
And so the total number of ways in which we could choose 8 gloves from different colors is
Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply 
So the probability of picking no mathing pair is
Answer: x = 4
Step-by-step explanation:
We'll call the number "x."
"Twice the difference of a number and 3" means 2(x-3)
is equal to 2: =2
Put them together:
2(x-3) =2
2x - 6 = 2
2x = 8
x = 4
Check:
2(x-3)
Twice the difference of a number and 3 is equal to 2
2(4 - 3) = 2 ?
<h2>2(1) = 2 <u>
Yes</u></h2>
