Answer:
89% of Angel's action figure collection keeps on his wall.
Step-by-step explanation:
<u>Percentages</u>
To calculate the X% of a quantity Y, we must multiply both numbers and divide by 100:
X% of Y = X * Y / 100
For example, 15% of 780 = 15 * 780 / 100 = 117
If we want to know what percentage is m with respect to n, we proceed as follows:
percentage = m / n * 100%
Anges has a 300 action figures collection, 267 of which are kept on his wall. Here m=267, n=300, thus:
percentage = 267 / 300 * 100% = 89%
89% of Angel's action figure collection keeps on his wall.
Answer:
Choice A
Step-by-step explanation:
When you have two shapes that are similar their sides are always proportional. So all we have to do is set up a proportion.
![\frac{18}{4.5}=\frac{x}{1.5}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B4.5%7D%3D%5Cfrac%7Bx%7D%7B1.5%7D)
Now we cross multiply and solve
![27=4.5x\\x=6](https://tex.z-dn.net/?f=27%3D4.5x%5C%5Cx%3D6)
And that's it x equals 6 feet.
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of
.
Upon substituting our given values in z-score formula, we will get:
![-0.25=\frac{x-500}{100}](https://tex.z-dn.net/?f=-0.25%3D%5Cfrac%7Bx-500%7D%7B100%7D)
![-0.25*100=\frac{x-500}{100}*100](https://tex.z-dn.net/?f=-0.25%2A100%3D%5Cfrac%7Bx-500%7D%7B100%7D%2A100)
![-25=x-500](https://tex.z-dn.net/?f=-25%3Dx-500)
![-25+500=x-500+500](https://tex.z-dn.net/?f=-25%2B500%3Dx-500%2B500)
![x=475](https://tex.z-dn.net/?f=x%3D475)
Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
Answer: Third Choice. x= 6 1/3
Step-by-step explanation:
Given
f(x) = 9x² - 54x - 19
Completing the square
3x -19
3x 1
Substitute back to the function
f(x) = (3x-19) (3x+1)
Simplify
x= 6 1/3 or -1/3
Hope this helps!! :)
Please let me know if you have any questions