A. 8.005 • 10² = 800.5 (Incorrect)
B. 8.500 • 10⁻³ = 0.0085 (Incorrect)
C. 8.005 • 10⁻⁴ = 0.000801 (Incorrect)
D. 8.005 • 10⁻³ = 0.008005 (Correct)
Answer: D. 8.005 • 10⁻³
Answer:
Step-by-step explanation:
Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.
Let us find the proportion between the sides of both triangles.



Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.
So we can set proportion for volume of both prisms as:

Upon substituting volume of prism made by triangle PQR we will get,
Let us multiply both sides of our equation by 7776 cubic inches.


Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.
Answer:
x=95
Step-by-step explanation:
First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.
Answer:
E
Step-by-step explanation:
Confidence Interval = mean + or - error margin
Mean = 42,000, error margin = width of estimate of the parameter ÷ 2 = 175 ÷ 2 = 87.50
We can be 95% confident that the population mean is 42,000 plus or minus 87.50
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))