Answer:
Perimeter of quadrilateral
will be 
Step-by-step explanation:
Given quadrilateral
is a reflection of quadrilateral
over the line
.
So, all the corresponding sides of both the quadrilateral should be equal.
Also, we can see from the diagram that 
As both image are reflection of same scale we can add corresponding sides.
So, the perimeter of
will be

And we have 
Now, perimeter of
will be 
Perimeter of quadrilateral
is 
The answer to number four is 90,000.
hope this helps!
-SummerBreaker ;)
Answer:
where 1 < a ≤ 9
The EXPONENT USED BY PETER is 7 in all the possible cases.
Step-by-step explanation:
Let us assume the needed number is M.
Also, given:
The needed number is GREATER than 10 Million.
⇒ M > 10 Million
⇒ M > 10,000,000
⇒ M >
...... (1)
The needed number is SMALLER than 100 Million.
⇒ M < 100 Million
⇒ M < 100,000,000
⇒ M <
...... (2)
Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.
So, the possible values of M can be:
where 1 < a ≤ 9
So, the EXPONENT USED BY PETER is 7 in all the possible cases.
Answer:
0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
Step-by-step explanation:
We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A service center receives an average of 0.6 customer complaints per hour.
This means that
, in which h is the number of hours.
Determine the probability that exactly four complaints will be received during the next eight hours.
8 hours means that
.
The probability is P(X = 4).


0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.
The side length is six units.
A cube has three measurements: length, width, and height
All the measurements have to be the same.
This allows you to cube root.
The cube root of 216 is 6.
The side length of the cube is 6 units.
Check:
6 * 6 * 6 = 216.
It is correct, so our answer is proven to be correct.