They are similar by the Side-Side-Side Theorem.
The smaller triangle is 3/4 of the second triangle:
90/120; divide each by 10, = 9 / 12 which simplifies to 3/4
135/180; divide each by 15, = 9 / 12 which simplifies to 3/4
117/156; divide each by 13, = 9 / 12 which simplifies to 3/4
Answer:
CV = coefficient of variation = 0.761
Step-by-step explanation:
The coefficient of variation is defined as the standard deviation divided by the mean of a population, which in this case,
standard deviation = 15.6
mean = 20.5
CV = coefficient of variation = 15.6/20.5 = 0.761
Note that if the 16 values form a sample (i.e. not the entire population), the above result is an estimate of the CV.
Answer:
Step-by-step explanation:
In sets theory n(A) represents the number of elements in set A.This number is the cardinal number of the set A.
For n(AUB) there is an equation that relates n(A),n(B) and n(A∩B) :
n(AUB) = n(A) + n(B) - n(A∩B)
In our exercise :
n(AUB) = n(A) + n(B) - n(A∩B)
Another important equation for maths is similar to this one :
P(AUB) = P(A) + P(B) - P(A∩B)
Where ''P'' is the event probability.This equation is used in probability and statistics.
Answer:
12.6 units.
Step-by-step explanation:
According to cosine formula:
Using cosine formula in triangle STU, we get
Taking square root on both sides.
Therefore, the value of t is 12.6 units.
You would get after cross mulitplying, 5/4.