The exponential equation that gives the number of bees in week 12 is of:
It is modeled by:
In which:
In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:
Hence, after 12 weeks, the expression is:
More can be learned about exponential equations at brainly.com/question/25537936
Answer:
a) $160,000
b) $55,000
c) $332264.804
Step-by-step explanation:
We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.
And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.
a) Value of mean after the change in value is given by;
Original Mean = $70,000
= $70,000 ⇒
= 70,000 * 10 = $700,000
New after change = $700,000 - $100,000 + $1,000,000 = $1600000
Therefore, New mean = = $160,000 .
b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .
c) Original Variance = i.e.
=
Original = (
* (10-1)) + (10 * 70,000) = $3,600,700,000
New = $3,600,700,000 -
= 9.936007 *
New Variance = =
= 1.103999 *
Therefore, standard deviation after change =
= $332264.804 .
The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct
<u>Solution:</u>
Given, Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height is 6.3 feet.
Rob filled the tent with balloons,
We have to find which measurement BEST describes the amount of balloons in the tent?
As tent if filled with balloons the amount of balloons equals with volume of tent.
<em><u>Volume of tent is given as:</u></em>
where "a" is side length and "h" is height.
Hence, from the given options, approximately, option D is correct.