Answer:
2.18
Step-by-step explanation:
The mean is the most familiar average. It is defined as a value obtained by dividing the sum of all observations by their number. It is calculated as
Mean = Sum of all the observations/ Number of the observations
Mean= x₁+x₂+...............+xₐ/n
Where x₁,x₂,...............,xₐ refer to different values of x and n is the sample size.
Mean= 2+1+2+2+2+2+1+3+3+3+3/11= 24/11= 2.18
The mean may correspond to a population or a sample from a population.
The population mean is a fixed quantity where as the sample mean is a variable quantity because different samples from the same population tend to have different means.
Answer:
About 152 pieces of candy
Step-by-step explanation:
Set up equal proportions to solve for the $5.99 bag.
We know that 24 pieces = .99, so
![\frac{25 pieces}{.99 dollars} = \frac{x pieces}{5.99 dollars}](https://tex.z-dn.net/?f=%5Cfrac%7B25%20pieces%7D%7B.99%20dollars%7D%20%3D%20%5Cfrac%7Bx%20pieces%7D%7B5.99%20dollars%7D)
Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.
Cross-multiply.
25(5.99) = .99x
Simplify.
149.75 = .99x
Divide both sides by .99.
x = 151.26 = about 151 pieces of candy
The height of tree is 8 feet
<h3><u>Solution:</u></h3>
Given, Micah places a mirror on the ground 24 feet from the base of a tree
At that point, Micah's eyes are 6 feet above the ground
And he is 9 feet from the image in the mirror.
To find : height of tree = ?
Let "n" be the height of tree
From the question, we can see there is a directly proportional relationship between heights and distances.
Proportional relationships are relationships between two variables where their ratios are equivalent.
![\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%20%7B%20height%20of%20micah%20eyes%20above%20ground%20%7D%7D%7B%5Ctext%20%7B%20distance%20of%20micah%20from%20mirror%20%7D%7D%3D%5Cfrac%7B%5Ctext%20%7B%20height%20of%20tree%20above%20the%20ground%20%7D%7D%7B%5Ctext%20%7B%20distance%20of%20tree%20from%20mirror%20%7D%7D)
![\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Cfrac%7B6%20%5Ctext%20%7B%20feet%20%7D%7D%7B9%20%5Ctext%20%7B%20feet%20%7D%7D%3D%5Cfrac%7Bn%20%5Ctext%20%7B%20feet%20%7D%7D%7B24%20%5Ctext%20%7B%20feet%20%7D%7D%7D%20%5C%5C%5C%5C%20%7B%5Cfrac%7B6%7D%7B9%7D%3D%5Cfrac%7Bn%7D%7B24%7D%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7B%20n%20%7D%3D%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%2024%7D%20%5C%5C%5C%5C%20%7B%5Ctext%20%7B%20n%20%7D%3D8%7D%5Cend%7Barray%7D)
Hence, the height of the tree is 8 feet
<span>B.When x=-4, y=-9 and when x=2, y=3.
</span><span>3y-6x=-3
3(-9) - 6(-4)= -3
-27 +24 =-3
-3 = -3
</span>
<span>3y-6x=-3
3(3) -6 (2) = -3
9 - 12 = -3
-3 = -3
</span>