The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, 
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
Expand 
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
To learn more about probability refer to:
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Answer:
<u><em>6</em></u> rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs <em><u>6</u></em> rolls.
Step-by-step explanation:
to find perimeter, add up all the side lengths.
so 15*4 (it's easier than 15+15+15...)
60 ft.
now we have to use Pythagorean's Theorum to find corner to corner.
so 
we have a and b
do the math...
225+225= 450
square root of 450=
21.213
double that because it's used twice (corner to corner and corner to corner)
42.426
now add it all up
42.426 + 60 = 102.426
we can round
102
20*5 = 100
so she needs 6
MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.
Answer:
The solution is (-2, 4)
Step-by-step explanation:
When finding the solution of system of equations, you need to find where both lines intersect.
In the graph shown, the light purple and dark purple line meet at (-2, 4).
Hope this helps!!
It will be 42 because of the with times the 2nd highest
Step-by-step explanation:
"There are several flights that have very long delays."
True. On the boxplot, we can see several outliers greater than the maximum.
"More than 25% of flights are either exactly on time or arrive early."
False. According to the 5 number summary, 25% of the flights are between -55 and 13. So less than 25% of the flights are on time or early.
"About 50% of flights are delayed between 13 and 35 minutes."
False. According to the 5 number summary, 25% of the flight times are less than 13 minutes, and 50% of the flights are less than 35 minutes. So 25% of the flights are delayed between 13 and 35 minutes, not 50%.
"About 25% of flights are delayed by more than 78 minutes."
True. According to the 5 number summary, 75% of the flights are delayed less than 78 minutes. Which means 25% of the flights are delayed more than 78 minutes.
