Answer: 4.1736
Step-by-step explanation:
Simply multiply 34.78 and 0.12 together.
Correct me if I am incorrect
Answer:
The vertex form parabola y = 2( x+4)² -37
Step-by-step explanation:
<u>Step(i):-</u>
Given parabola equation j(x) = 2x² + 8x -5
Let y = 2x² + 8x -5
⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5
By using (a + b)² = a² +2ab +b²
y = 2(x+4)²- 32 -5
y = 2 ( x-(-4))² -37
<u><em>Step(ii):-</em></u>
The vertex form parabola y = a( x-h)² +k
The vertex form parabola y = 2(x+4)² -37
108 / 1376 is the probability that a student participates in both sports and music.
<u>Step-by-step explanation:</u>
It is given that,
A suburban high school has a population of 1376 students.
- Let the event A be the no.of students participated in sports.
- Let the event B be the no.of students participated in music.
The number of students who participate in sports is 649.
The number of students who participate in music is 433.
<u>To find the probability of event A (sports) :</u>
P(sports) = No.of students participated in sports / Total students.
⇒ 649 / 1376
∴ P(A) = 649 / 1376
<u>To find the probability of event B (music) :</u>
P(music) = No.of students participated in music / Total students.
⇒ 433 / 1376
∴ P(B) = 443 / 1376
From the question, we know that the probability that a student participates in either sports or music is 974 /1376.
∴ P(A∪B) = 974 / 1376
<u>To find the probability that a student participates in both sports and music :</u>
The formula used here is,
P(A∩B) = P(A) + P(B) - P(A∪B)
⇒ 649 / 1376 + 433 / 1376 - 974 /1376
⇒ 108 / 1376
∴ P(A∩B) = 108 / 1376
Sqrt 11 is approximately 3.31662479036
So make a line from about -5 to 5 and just estimate where that could be, between the numbers 3 and 4, make sure you mark that that is sqrt 11
