Answer: ORANGE= 3
PEPPER= 2
CHIPS AND GUACAMOLE=18
SALT= 9
AVOCADO= 6
Step-by-step explanation:
2
x
+
3
y
=
1
2
x
+
3
y
=
1
,
−
2
x
−
3
y
=
−
1
-
2
x
-
3
y
=
-
1
Solve for
y
y
in the second equation.
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2
x
+
3
y
=
1
2
x
+
3
y
=
1
y
=
−
2
x
3
+
1
3
y
=
-
2
x
3
+
1
3
Replace all occurrences of
y
y
with the solution found by solving the last equation for
y
y
. In this case, the value substituted is
−
2
x
3
+
1
3
-
2
x
3
+
1
3
.
2
x
+
3
(
−
2
x
3
+
1
3
)
=
1
2
x
+
3
(
-
2
x
3
+
1
3
)
=
1
y
=
−
2
x
3
+
1
3
y
=
-
2
x
3
+
1
3
Solve for
x
x
in the first equation.
Tap for more steps...
Always true
y
=
−
2
x
3
+
1
3
y
=
-
2
x
3
+
1
3
Remove any equations from the system that are always true.
y
=
−
2
x
3
+
1
3
y
=
-
2
x
3
+
1
3
The solution can be shown in both point and equation forms.
Point Form:
(
x
,
−
2
x
3
+
1
3
)
(
x
,
-
2
x
3
+
1
3
)
Equation Form:
x
=
x
y
=
−
2
x
3
+
1
3
Answer: Probability that both the pirate and the Captain hit each other's ships is
Step-by-step explanation:
since we have given that
Probability that the captain hits the pirate ship is given by
Probability that the pirate hits the Captains's ship is given by
So, we have to find the "Probability that both the pirate and the Captain hit each other's ship" is given by
Hence, probability that both the pirate and the Captain hit each other's ships is
The probability that both the pirate and the Captain hit each other's ships is . This can be calculated by calculating the joint probability of both events.
A joint probability is a probability that two events will occur together and at the same time. Simply it is the probability that A occurs at the same time when B occurs. It can be calculated as:
, where P(A and B) is the joint probability of A and B occurring together, P(A) is the probability of A, and P(B) is the probability of B.
Given:
The probability of Captain hitting the pirate ship is
The probability of pirate hitting the Captain's ship is .
Therefore the joint probability will be:
Learn more about Joint probability here: