Add 5 to both sides
n/3-5=12
+5=+5
n/3= 17
*3= *3
n= 51
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:
According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,
z = (x - µ)/(σ/√n)
a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)
From the information given
µ = 50402
σ = 6000
z = (52000 - 50402)/(6000/√100) = 2.66
Looking at the normal distribution table, the probability corresponding to the z score is 0.9961
b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)
From the information given
µ = 49703
σ = 10000
z = (52000 - 49703)/(10000/√100) = 2.3
Looking at the normal distribution table, the probability corresponding to the z score is 0.9893
c) The probabilities of either jobs paying that amount is high and very close.
Answer:
(-7,4)
Step-by-step explanation:
MN is 4/9 NP so
To find the x value
-19 and 8 are 27 apart and 27(4/9)=12
so you add 12 to the x value of P so 12+-19=-7 so the x value of N is -7
so the same for the y value
12 and -6 are 18 apart
18(4/9)=8 so you subtract 8 from the y value of P
12-8=4
so the y value N is 4
so N is
(-7,4)
These 3 problem I have answered have been almost the same except the numbers do you not understand how to do these problems and if not I can help you understand for the last question?
Answer:
320cm.²
Step-by-step explanation:
= 5
2 + 2[5] = 96 ↷
2 + 10 = 96 ↷
12 = 96 ↷
= 8 [plug this back into the top equation to get 40 units]
[8][40] = 320 [Area]
I am joyous to assist you anytime.