Answer:
We have been given the equation:

And x=10
Substitute the given x in the given equation we get:


On simplification we get:

Required solution is: x= 10 and y=-20
The solution to the system of equation is those points that satisfy the given system of equations.
Answer:
(E) 0.71
Step-by-step explanation:
Let's call A the event that a student has GPA of 3.5 or better, A' the event that a student has GPA lower than 3.5, B the event that a student is enrolled in at least one AP class and B' the event that a student is not taking any AP class.
So, the probability that the student has a GPA lower than 3.5 and is not taking any AP classes is calculated as:
P(A'∩B') = 1 - P(A∪B)
it means that the students that have a GPA lower than 3.5 and are not taking any AP classes are the complement of the students that have a GPA of 3.5 of better or are enrolled in at least one AP class.
Therefore, P(A∪B) is equal to:
P(A∪B) = P(A) + P(B) - P(A∩B)
Where the probability P(A) that a student has GPA of 3.5 or better is 0.25, the probability P(B) that a student is enrolled in at least one AP class is 0.16 and the probability P(A∩B) that a student has a GPA of 3.5 or better and is enrolled in at least one AP class is 0.12
So, P(A∪B) is equal to:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 0.25 + 0.16 - 0.12
P(A∪B) = 0.29
Finally, P(A'∩B') is equal to:
P(A'∩B') = 1 - P(A∪B)
P(A'∩B') = 1 - 0.29
P(A'∩B') = 0.71
Answer and Step-by-step explanation:
Solve for m.
<u>First, distribute the 5.</u>
5 + 20m - 2m = -13
<u>Combine like terms.</u>
5 + 18m = -13
<u>Subtract 5 from both sides of the equation.</u>
18m = -18
<u>Divide by 18 to both sides of the equation.</u>
<u>m = -1 <- This is the answer.</u>
<u></u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
6.
Step-by-step explanation:
To round 5.955 to the nearest tenth consider the hundredths’ value of 5.955, which is 5 and equal or more than 5. Therefore, the tenths value of 5.955 increases by 1 to 0.
Answer:
7/16
Step-by-step explanation:
Let the fraction be x/y
(x+5)/(y+5) = 4/7
7x + 35 = 4y + 20
7x + 15 = 4y
(x-1)/(y-1) = 2/5
5x - 5 = 2y - 2
2y = 5x - 3
7x + 15 = 2(5x - 3)
7x + 15 = 10x - 6
3x = 21
x = 7
2y = 5(7) - 3
2y = 32
y = 16
x/y = 7/16