By definition we have:
A triangular pyramid (also called tetrahedron) is a polyhedron whose surface is formed by a base that is a triangle and triangular lateral faces that converge in a vertex that is called apex (or apex of the pyramid).
It will be composed, therefore, by 4 faces, the triangular base and three lateral triangles that converge at the vertex.
Thus, the surface area is:
As = 4 * (50.5) = 202 in ^ 2
Answer:
The total surface area of the triangular pyramid is:
202 in ^ 2
Answer:
Step-by-step explanation:
Data given and notation
n=1500 represent the random sample taken
estimated proportion of of chips fail in the first 100 hours
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the actual percentage that fail is different from the stated percentage. Find the value of the test statistic.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
11,000,000 + 700,000 + 60,000 + 800 + 20 + 5 (expanded form)
eleven million seven hundred sixty thousand eight hundred twenty-five (word form)
The answer is D.
"A cube with the side lengths of 4 feet has a volume of 64 cubic feet."