Answer:
a) Between 74 and 90
b) 81.86% of the scores are between 78 and 90
Step-by-step explanation:
a) According to the Empirical Rule, in a normal distribution, 95% of the data are within 2 standard deviations of the mean. Therefore, the range that 95% of the scores fall in is between 82-4(2)=74 and 82+4(2)=90.
b) The percent of scores that are between 78 and 90 is: normalcdf(lower,upper,μ,σ) = normalcdf(78,90,82,4) = 0.8185946784 ≈ 0.8186, or about 81.86% of the scores.
I think it’s b.5. Hope this helps. :)
Yes!
explanation:
8 divided by 4 equals 2 and 20 divided by 4 is 5
Answer:
Point form : (1,-4)
Equation for, : x=1, y=-4
Step-by-step explanation: Add the fractions in order to solve for the first variable. Plug this vale into the other equations in order to solve for the remaining variables.
Hope this helps you out! ☺
Answer:
The expression
does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression
represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.
![\text{12 percent increase}=x+\frac{12}{100}x](https://tex.z-dn.net/?f=%5Ctext%7B12%20percent%20increase%7D%3Dx%2B%5Cfrac%7B12%7D%7B100%7Dx)
![\text{12 percent increase}=1.12x](https://tex.z-dn.net/?f=%5Ctext%7B12%20percent%20increase%7D%3D1.12x)
Since 1.12 is greater than 1.016, therefore, the expression
does not represent a percent increase greater than 12%.
We can rewrite
as:
![1.016x=1x+0.016x=x+0.016x](https://tex.z-dn.net/?f=1.016x%3D1x%2B0.016x%3Dx%2B0.016x)
Let us convert
to percent by multiplying by 100.
![0.016\times 100\%=1.6\%](https://tex.z-dn.net/?f=0.016%5Ctimes%20100%5C%25%3D1.6%5C%25)
Since 1.6% is less than 12%, therefore, the expression
does not represent a percent increase greater than 12%.