Answer:
If the soccer coach wants to know how many students made 15 or more goals then she should use the histogram because it is split in to different ranges so it’s easy for her to know how many students made 15 or more goals. If the soccer coach wants to know the least number of goals made she should use the dot plot because that shows the specific number of goals each student made while the histogram only gives an range.
Answer:
Option C.
Step-by-step explanation:
Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.
Let x be the length of one leg.
From the given figure it is clear that length of both legs are same.
According to the Pythagoras theorem, in a right angled triangle
![(leg_1)^2+(leg_2)^2=hypotenuse^2](https://tex.z-dn.net/?f=%28leg_1%29%5E2%2B%28leg_2%29%5E2%3Dhypotenuse%5E2)
Substitute
in the above formula.
![(x)^2+(x)^2=(22\sqrt{2})^2](https://tex.z-dn.net/?f=%28x%29%5E2%2B%28x%29%5E2%3D%2822%5Csqrt%7B2%7D%29%5E2)
![2x^2=(22)^2(\sqrt{2})^2](https://tex.z-dn.net/?f=2x%5E2%3D%2822%29%5E2%28%5Csqrt%7B2%7D%29%5E2)
![2x^2=2(22)^2](https://tex.z-dn.net/?f=2x%5E2%3D2%2822%29%5E2)
Divide both sides by 2.
![x^2=(22)^2](https://tex.z-dn.net/?f=x%5E2%3D%2822%29%5E2)
Taking square root on both sides.
![x=22](https://tex.z-dn.net/?f=x%3D22)
The length of one leg is 22 units.
Therefore, the correct option is C.
I don't see a diagram, but if the portion of the tennis region you are asked to analyze doesn't intersect anywhere else/any other regions pertaining to other sports, wouldn't the sport chosen by these students be solely tennis?
Answer:
Ratio of the increase in value to the original value will be 1 : 5
Step-by-step explanation:
This question is incomplete; Here is the complete question.
A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?
Original value of the house = $150000
Value of the house after 5 years = $180000
Appreciation in value of the house after 5 years = $180000 - $150000
= $30000
Now the ratio of the increase in value to the original value = ![\frac{\text{Increased value}}{\text{Original value}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BIncreased%20value%7D%7D%7B%5Ctext%7BOriginal%20value%7D%7D)
= ![\frac{30000}{150000}](https://tex.z-dn.net/?f=%5Cfrac%7B30000%7D%7B150000%7D)
=
or 1 : 5
Therefore, ratio of the increase in value to the original value of the house is 1 : 5