Answer:
The integers are (x, y) = (40, 8).
Step-by-step explanation:
x = 5y
xy = 320
Substitute the first equation into the second equation.
(5y)(y) = 320
5y^2 = 320
y^2 = 64
y = 8 (y must be positive)
The integers are (x, y) = (40, 8).
Remember that 45%=45/100=0.45
So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:
300*0.45=135serves
Answer: 135 serves will not be returned
I believe the answer is A or C because capital letters are used to name a point
2/3, 5/6, 4/7....common denominator is 42
2/3 = 28/42
5/6 = 35/42
4/7 = 24/42
least to greatest : 2/3, 5/6, 4/7
3/4, 7/12, 4/5....common denominator is 60
3/4 = 45/60
7/12 = 35/60
4/5 = 48/60
least to greatest : 7/12, 3/4, 4/5
7/10, 8/15, 11/20.....common denominator is 60
7/10 = 42/60
8/15 = 32/60
11/20 = 33/60
least to greatest : 8/15, 11/20, 7/10
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.
