A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi
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Answer:
Step-by-step explanation:
A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,
And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .
Step 1: <u>Multiply </u><u>the </u><u>coefficient </u><u>of </u><u>x²</u><u> </u><u>with </u><u>the </u><u>constant</u><u> </u><u>term </u><u>.</u>
Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .
Step 2: <u>Look </u><u>out</u><u> </u><u>for </u><u>the </u><u>possible</u><u> </u><u>factors </u><u>of </u><u>the </u><u>number</u><u> </u><u>.</u>
Here the obtained number is 12 . So the possible factors of 12 is
- 1 *12
- -1*-12
- 2*6
- -2*-6
- 4*3
- -4*-3
Step3: <u>Choose </u><u>the </u><u>factor </u><u>whose </u><u>sum </u><u>is </u><u>equal </u><u>to </u><u>the </u><u>coefficient</u><u> </u><u>of </u><u>the </u><u>middle</u><u> </u><u>term </u><u>.</u>
Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .
Step 4: <u>After </u><u>proper</u><u> </u><u>arrangements</u><u> </u><u>take </u><u>out</u><u> the</u><u> </u><u>common</u><u> </u><u>term </u><u>and </u><u>then </u><u>factorise</u><u>.</u>
After suitable rearrangment we get ,
Answer:
Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x. This is easier to write and understand. This is why the scientific notation is used over standard.