Answer:
finding x:
XYZ = 117
6x+44-10x+65=117
-4x = 8
x=-2
finding the measure of the angles:
XYW=
6*-2 + 44 = 32
WYZ=
-10*-2+65 = 85
I need the number to answer
200 30-g flower pots can a 6-kg pack of soil fill up .
<u>Step-by-step explanation:</u>
Here we have ,
Weight of flower pot as :
⇒ 
Given there is a 6-kg pack of pack of soil , We need to find the number of flower pots we can have to fill up soil . Let's find out:
Let weight of pack of soil be :
⇒ 
⇒ 
⇒ 
Hence , the number of flower pots we can have is given by :
⇒ 
⇒ 
⇒ 
Therefore , 200 30-g flower pots can a 6-kg pack of soil fill up .
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.