A cricket randomly hops between 4 leaves, on each turn hopping to one of the other 3 leaves with equal probability. After 4 hops
1 answer:
The probability that the cricket has returned to the leaf where it started is
After its 1st jump since it has the option to jump back to any leaf and it is the case of independent events. So probability will remain.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
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y = 5 x +3 is the final equation when y = 5 x 3 units up
<u>Step-by-step explanation:</u>
In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Here we have , y=5x . Function y = 5x is a straight line passing through origin and having a slope of 5 . Now we need to increment this function 3 units up i.e. y = 5x + 3 , This a straight line passing through x-axis at and y-axis at 3. For your reference , following graph of y= 5x and y = 5x + 3 is attached .
Answer:
Part A) The volume of the entire cone is
Part B) see the explanation
Step-by-step explanation:
Part A) we know that
The volume of a cone is equal to
where
r is the radius of the base of the cone
h is the height of the cone
In this problem triangle ABD is similar to triangle ACE
Remember that If two figures are similar, then the ratio of its corresponding sides is proportional
so
substitute the given values
solve for x
To find out the volume of the entire cone we have
substitute in the formula
Part B) How did you determine the value for x in triangle ACE
In this problem triangle ABD is similar to triangle ACE
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
substitute the given values and solve for x