After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.
Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Answer:

Step-by-step explanation:
Sum of its zeroes=
Product of its zeroes=
=
Formula to form a quadratic polynomial:
![p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ]](https://tex.z-dn.net/?f=p%28x%29%3Dk%5Bx%5E%7B2%7D%20-%28%5Calpha%20%2B%5Cbeta%20%29x%2B%5Calpha%20%5Cbeta%20%5D)
p(x)=![k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]](https://tex.z-dn.net/?f=k%5Bx%5E%7B2%7D%20-%28%5Cfrac%7B21%7D%7B8%7D%20%29x%2B%5Cfrac%7B5%7D%7B16%7D%5D)
p(x)=![16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]](https://tex.z-dn.net/?f=16%5Bx%5E%7B2%7D%20-%28%5Cfrac%7B21%7D%7B8%7D%20%29x%2B%5Cfrac%7B5%7D%7B16%7D%5D)
p(x)=![[16x^{2} -42x+5]](https://tex.z-dn.net/?f=%5B16x%5E%7B2%7D%20-42x%2B5%5D)
The quadratic polyniomial is 
Answer:
Amanda bought 24 pounds of turkey for the eve of Christmas. She decided to cook one third of the turkey for the guests coming over lunch. So she will cook one third of 24 pounds that is 8 pounds of turkey for the lunch.
Step-by-step explanation:
We have been given a multiplication problem
.
<em>Basically it says one third of 24 is 8. </em>
So a real life representation of the following multiplication problem can be represented as follows:
Amanda bought 24 pounds of turkey for the eve of Christmas. She decided to cook one third of the turkey for the guests coming over lunch. So she will cook one third of 24 pounds that is 8 pounds of turkey for the lunch.