Find the common ratio of the geometric sequence 19, 171, 1539, ...
1 answer:
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Answer:
The probability is
Step-by-step explanation:
We know that the ratio of grey color morph to red color morph is
This can be written in terms of probability as :
This means that the probability of obtain a red color morph snake in a random sample of 100 snakes is (If I only randomly select one snake).
Now, the number of red color morph snakes in a random sample ''n'' can be modeled as a binomial random variable. Where ''p'' is the success probability (In our case, the probability from obtain one red color morph snake out of 100 snakes) ⇒
''Number of red color morph snakes in the sample''
In our case,
⇒ ~ Bi (n,p) ⇒
~ Bi (30,0.47)
The probability function for is :
Where is the combinatorial number define as
⇒
We need to calculate the probability of
This probability is equal to :
For example,
We need to calculate all the terms of the sum and then calculate
If we use any statistical program we will find that
Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.