Answer:
X=26
Step-by-step explanation:
8x + y = -16 ;
3x - y = 5 ;
____________(+)
11x = -11;
x = - 11 / 11 ;
x = - 1;
y = -5 + 3 * ( - 1 ) = - 8.
Answer: -7/5
Step-by-step explanation:
-4(1/5)⋅(1/3)
Convert -4(1/5) to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
− (4 +1/5) ⋅(1/3)
Add 4 and 1/5
-21/5 ⋅ 1/3
Cancel the common factor of 3.
Move the leading negative in − 21
/5 into the numerator.
−21/5 ⋅ 1/3
Factor 3 out of −21.
3 (−7)/5 ⋅ 3
/1
Cancel the common factor.
Rewrite the expression.
−7
/5
It is given in the question that cost of pork is $7.99/kg.
It means cost of 1 kg pork is $7.99.
Cost of 2 kg of pork is
And cost of 3 kg of pork is
Therefore cost of 3.5 kg of pork is
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.
