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qwelly [4]
3 years ago
12

HELP (BRAINLIEST ANSWER IF RIGHT)...In a certain Algebra 2 class of 30 students, 7 of them play basketball and 11 of them play b

aseball. There are 5 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

13 / 30

Step-by-step explanation:

The probability an be represented by the number of desirable outcomes over the total outcomes. We know the total is 30 since there are 30 students to be chose from. Now, we need to find the number of students who play basketball and baseball. We can add the two values we are given:

7 + 11 = 18 students

BUT.... we are over-counting the students who play both. We need to subtract those 5 students, since the are counted twice, and that way, they will only be counted once:

18 - 5 = 13 students

Using the formula for probability at the top, we get:

13 / 30

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The curve is defined by:   <span>y</span><span>2</span><span> = 4ax.</span>

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Answer:

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Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x, y)(x,y)​.
slamgirl [31]

The value of ordered pair of   (x,y) is (-2, -3)

<h3>How to solve the equation by substitution method ? </h3>

x - 5y = 13

4x - 3y = 1

Solve the equation for x

x - 5y = 13

Move '5y' to R.H.S and change it's sign

x=13+5y

Substitute the given value of X into the equation

4x - 3y = 1

4(13+5y)-3y = 1

Solve the equation for y

distribute 4 through the parentheses

52+20y -3y =1

Collect like terms

52+17y = 1

Move constant to R.H.S and change it's sign

17y = 1 - 52

Calculate

17y =  - 51

Divide both sides of the equation by 17

17y/17 = -51/17

Calculate

y = -3

Now, substitute the given value of y into the equation

x = 13 + 5y

x= =13+5x(-3)

Solve the equation for x

Multiply the numbers

= 13 - 15

Calculate the difference

= -2

The possible solution of the system is the ordered pair

( x , y )

( x , y ) = ( - 2 , - 3 )

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

-2-5×(-3)=15

4×(-2)-3×(-3)=1

Simplify the equalities

13 = 13

1=1

Since all of the equalities are true, the ordered pair is the solution of the system

( x , y ) = ( - 2 , - 3 )

Therefore the value of ordered pair of   (x,y) is (-2, -3)

The complete question is : Solve the system by substitution. x−5y=13 4x−3y=1 Enter your answer as an ordered pair (x,y).

To learn more about substitution method refer to :

brainly.com/question/26094713

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