Basically you know that the 2 wholes from both sides cancel out.
Set up the equation, 5/8 = 3/12 + 3/x
3/x = 5/8 - 3/12
Set them to have a common denominator, 3/x = 15/24 - 6/24
3/x = 9/24
Simplify 9/24 and you will get 3/8
3/x = 3/8
Obviously this means x = 8
Answer:
im quite confused with the way its been layed out
cant tell if ur multiplying of its a X
Step-by-step explanation:
(2^8 times 5 ^-8 times 1) ^-2x times 5^-2 over 2^3 times 4 times 2 ^28
(2^-16x times 5^10x times 5^-2 over 8 times 4 times 2^28
2^16=28 times 5 ^10x
------------------------------- over
50
The false statement is (c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
<h3>What are probabilities?</h3>
Probabilities are used to determine the chances of events
The table entry is given as:
- Red - 2
- Blue - 3
- Yellow - 4
- Green - 3
From the list of options, the false statement is
(c) the probability of selecting a blue or yellow marble is less than the probability of selecting a red or green marble.
This is so because:
- Blue or Yellow = 3 + 4 = 7
- Red or Green = 2 + 3 = 5
Notice the count of blue or yellow marbles (7) is greater than the number of red or green marbles (5)
This means that, the probability of selecting a blue or yellow marble is greater than the probability of selecting a red or green marble.
Read more about probabilities at:
brainly.com/question/251701
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.
To figure this out first make the 4 4/9 into a improper fraction making it 40/9 and then multiply 2/7 x 40/9 then make is a mixed fraction :) hope this helped.
