What is the answer to 2 + 2
1 answer:
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Answer:
0.003
Step-by-step explanation:
By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (60,000), m is the mean (63500), sd is the standard deviation (6100) and n is the sample size (35).
Replacing we have:
z (60000) = (60000 - 63500) / [6100 / sqrt (35)]
z = -3.39
If we look in the normal distribution table (attached), we have that the probability is 0.0003.
Answer:
Part a) By alternate interior angles
Part b) By vertical angles
Part c) By AAA (Angle-Angle-Angle) Similarity Theorem
Part d) Triangles ABC and CDE are similar
Part e) or
Step-by-step explanation:
Part a)
we know that
If AB is parallel to DE
then
m<1=m<4 ------> by alternate interior angles
Part b)
we know that
m<5=m<6 -------> by vertical angles
Part c) we know that
The two triangles are similar by AAA (Angle-Angle-Angle) Similarity Theorem ------> The three corresponding angles are equal
so
m<1=m<4
m<5=m<6
m<3=m<2
Part d) we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
therefore
Triangles ABC and CDE are similar
Part e) Find the length side of b
Remember that
If two figures are similar, then the ratio of its corresponding sides is equal
so
substitute the values
or