You have the following equation:
|n| = 8 the two vertical bras | | means absolute value of variable n
when you have an equation with an absolute value you consider that n could be negative or positive, because the absolute value of a number always results in a positive number. Then, n can be 8 or -8, because |-8| = |8| = 8. Hence, you have
n = ±8
Answer:
Step-by-step explanation:
a. HM = 14
HN = 21
HK = 10.5
Based on intersecting chords theorem,
HK*HJ = HM*HN
10.5*HJ = 14*21 (Substitution)
HJ = 294/10.5
HJ = 28
b. VC = 7.2
VG = 12
Based on tangent-secant theorem, thus:
VD*VC = VG²
VD*7.2 = 12²
VD = 144/7.2
VD = 20
Therefore,
CD = VD - VC
CD = 20 - 7.2
CD = 12.8
Answer: 80
Step-by-step explanation: it is 80
Answer:
The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.
Step-by-step explanation:
We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.
If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.
The standard deviation of the sample is equal to:
With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:
Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:
Knowing that the angles of the triangle has a total of 180 degrees, so we can have the following:
x + y + z = 180
y + z = 180 - x
or
x = 180 - y - z
In this approach, we can't give the actual values since there are no values presented.
