Answer:

Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:

Here, it means ...

Answer:
Hi there!
Your answer is:
2 & 1/4 <u>OR</u> 2.25 cups fills the container!
Step-by-step explanation:
If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:
we know that <em>half</em> of 3/2s fills 1/3 of the container
To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.
3/2÷2
3/2×1/2 = 3/4 ths
Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.
3/4+ 1&1/2 = 2 & 1/4
Check your work!
3/4 × 3 should equal 2&1/4 if we are correct
3/4 × 3/1 = 9/4.
Simplify!
9/4 = 2&1/4
That tells us that <u>we</u><u> </u><u>are</u><u> </u><u>correct</u><u>!</u>
Hope this helps!
Given:
The two points are (-5,8) and (-3,1).
To find:
The distance between the given two points in simplest radical form.
Solution:
Distance formula: The distance between two points is

Using distance formula, the distance between (-5,8) and (-3,1) is





Therefore, the distance between two points (-5,8) and (-3,1) is
units.
Answer:
a)
Mean = sum of all numbers in dataset / total number in dataset
Mean = 8130/15 = 542
Median:
The median is also the number that is halfway into the set.
For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data
486 516 523 523 529 534 538 546 548 551 552 558 566 574 586
Standard Deviation (SD). Here X represents dataset and N= count of numbers in data
As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))
SD= 25.082
2) Formula for coefficient of skewness using Pearson's method (using median) is,
SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) = 3*(542-546)/25.082 = -0.325
3) coefficient of skewness using the software method is also same which is -0.325