The best and the most correct answer among the choices provided by the question is the third choice. The table that best represents direct variation is:
<span>Input x 3 4 5
Output y 9 16 25
</span>I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
ab=32
Step-by-step explanation:
ab:bc
4:3
abc= 56
4+3=7
56÷7=8
ab= 8x4=32
bc=8x3=24 #
Answer:
A) m < -175/k and B) 3c/5 - 11
Step-by-step explanation:
A) Add 90 to both sides. -mk > 175.
Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!
m < -175/k.
B) Subtract 3c from both sides.
-5f = 55 - 3c.
Now multiply both sides by -1/5.
f = 3c/5 - 11
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.
