First, find the probability of each event:
1) the probability that the spinner will land on a 7.
Since the spinner is split 4 equal sections and there is only 1 sector with 7, we can say the probability of getting a 7 is 1/4 as there is only 1 of 7 out of the total of 4 sections.
<em>and</em>
2) the probability that the spinner will land on B.
Since the spinner is split into 3 equal sections, and there is only 1 sector for B, we can say the probability of getting B is 1/3.
To find the probability of 2 events, we need to multiply the two probabilities.
1/4*1/3 = 1/12
So the answer is 1/12.
The seventh term of the sequence is 364.5
<h3>Geometric progression </h3>
From the question, we are to determine the seventh term of the sequence
Using the formula,
Where 
is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,
Hence, the seventh term of the sequence is 364.5
Learn more on Geometric progression here: brainly.com/question/24643676
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1 quart = 32 ounces
She will need 13 quarts <span>of coffee.</span>
Answer:
2a = 108
Step-by-step explanation:
the 3 angles of the triangle add to 180
lets call the unknown angle in the triangle y
a+10 + y + 44 = 180
we also know that 2a+ y = 180 because it makes a straight line
solve this for y by subtracting 2a from each side
2a +y = 180
y = 180 -2a
now we can substitute this into the triangle equation
a+10 + y + 44 = 180
a+10 + 180 -2a + 44 = 180
combine like terms
-a +234 = 180
subtract 234 from each side
-a = --54
divide each side by -1
a =54
the exterior angle is 2a
2* 54
108
