First of all to make our equation simpler, we'll equal
to a variable like 'a'.
So,
Now let's plug
's value (a) into the equation.
Now we turned our equation into a quadratic equation.
(The variable 'a' will have a solution set of two solutions, but 'x' , which is the variable of our first equation will have a solution set of four solutions since it is a quartic equation (<span>fourth-degree <span>equation) )
Let's solve for a.
The formula used to solve quadratic equations ;
The formula is used in an equation formed like this :
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In our equation,
t=16 , b=-41 and c=25
Let's plug the values in the formula to solve.
So the solution set :
We found a's value.
Remember,
So after we found a's solution set, that means.
and
We'll also solve this equations to find x's solution set :)
So the values x has are :
,
,
and
Solution set :
I hope this was clear enough. If not please ask :)
If the biologist catches and tags 32 bass and from sample of 55 he found only 5 tagged then there are 352 bas in the lake.
Given Biologist catches and tags 32 bass, when sample of 55 bass is taken then 5 are found tagged.
Population is basically number of living thing exists in a particular area.
Number of bass which are tagged in lake=32
Sample size=55
Number of bass found tagged=5
means percentage of tagged bas found is 5/32*100=1.6%
We have to calculate number of times 5 is multiplied to get 32 which is 6.4.
Number of bass in the lake=55*6.4
=352 basses.
Hence there are 352 basses in the lake if 5 are found tagged in a sample of 55.
Learn more about sample at brainly.com/question/24466382
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Answer:
The correct answer is option C
Step-by-step explanation:
Area is usually the planar lamina of a two dimensional figure and usually expressed in units square meter, square feet, square inches etc.
While Volume is the total space occupied by an object in a 3-D setting and is usually expressed in cubic meter, cubic feet, cubic inches etc.
A 2-D dimension can not represent a 3-D structure and thus units of area inappropriate to measure volume
Start by ordering your data, the pages in each chapter, from smallest to largest - that way you can read it better:
9, 13, 15, 15, 17, 17, 18, 19, 20, 22, 24, 25
A histogram represents the data using a range of values on the x axis (number of pages). For your histogram, the ranges are 0-9, 10-19, and 20-29. On the y axis (number of chapters), you fill in the bar up to how many chapters fall into each of the ranges. You're given data that tells you how many pages are in each chapter, with each data value being a chapter, so just count up how many data values fall into each of the ranges:
For 0-9 pages: 1 chapter (9)
For 10-19 pages: 7 chapters (13, 15, 15, 17, 17, 18, 19)
For 20-29 pages: 4 chapters (20, 22, 24, 25)
Now look at the histograms you're given. Find the one that has the bar filled up to 1 chapter for 0-9 pages, 7 chapters for 10-19 pages, and 4 chapters for 20-29 pages.
Your answer is B.