Its a function of the square of the sides. = 36:121
Answer:
The correct option is C:
C) The representative sample contained more girls than boys.
Step-by-step explanation:
It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.
A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.
We know that:
Total boys in 160 = 65
Total girls in 160 = 95
Proportion of girls to boys = 95/65 = 1.462
Which means that for every 1 boy, there are 1.462 of girls.
The same ratio is held in a random sample, hence the total number of girls will be greater than boys
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
Answer:
M=7/8
Step-by-step explanation:
The equation used to solve this is yz-y1/x2-x1.
This applied to the problem would look like 9-2/3--5
Simplified this would be, 7/8 as your slope