Answer:
x=5 and y=8
Step-by-step explanation:
Find x:
3x - 2 = x + 8
-x -x
2x - 2 = 8
+2 +2
2x = 10
---- ----
2 2
x = 5
Find y:
6y - 7 = y + 33
-y -y
5y - 7 = 33
+7 +7
5y = 40
---- -----
5 5
y = 8
Answer:
Step-by-step explanation:
3m - 4 is the answer
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Answer:
scale is 4...... ........
Answer: 18
Step-by-step explanation:
Let x be the number of 2 point baskets made and y be the number of 3 point baskets made
:
1) x + y = 26
:
2) 2x + 3y = 60
:
solve equation 1 for x and substitute in equation 2
:
x = 26 - y
:
2(26 - y) +3y = 60
:
52 -2y +3y = 60
:
y = 8
:
x = 26 - 8 = 18
:
******************************
The team made 18 2-point shots
Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have

Since c is a constant, we can bring it out of the integral sign; to give us

Open the bracket

Integrate with respect to y

Substitute 0 and 3 for y



Add fraction


Rewrite;

The
is a constant, so it can be removed from the integral sign to give


Integrate with respect to x

Substitute 0 and 3 for x




Multiply both sides by 

