Answer: Option 'A' is correct.
Step-by-step explanation:
In the binomial probability formula, we have
Here, n = number of events
x = number of trials
p = probability of success
q = probability of failure
x is the number of trials among which we decide the number of successes and number of failures.
So, Option 'A' is correct.
So.. .at the beginning of the sale, there was a total of "x" pies
now, let's see what happened to those pies
so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover
if we subtract all those figures, and solve for "x",
we should get what "x" was, so
notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)
so.. just solve for "x"
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
- the angle where chords meet is half the sum of the measures of the intercepted arcs
- the angle where secants meet is half the difference of the measures of the intercepted arcs
The first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
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2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
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3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
Answer:
Andrew is driving at a faster speed and they both started at the same place.
1. 56.6 - 3.2 = 53.4
2. 53.4 divided by 2 = 26.7
3. 26.7 - 6 = 20.7
Answer: 20.7 mL
