Brendan has six less than five times the number of pencils that Riley has. Let p represent the number of pencils Riley has. Writ
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The distribution of the animals in the coral reef is an illustration of probability
<h3>The most likely animal</h3>The distribution of the animals is given as:
Blue fish = 3
Yellow fish = 7
Sea turtle = 1
Eels = 3
The animal with the highest frequency is the most likely animal.
Hence, the Yellow fish is the most likely animal.
<h3>Which is more likely?</h3>From the question, we have:
Blue fish = 3
Eels = 3
Both animals have the same frequency.
This means that Riley has equal chance of seeing a blue fish and an eel.
<h3>The probability of seeing an animal with fins</h3>
The animal with fins are:
Blue fish = 3
Yellow fish = 7
So, the probability is:
Simplify
Hence, the probability of seeing an animal with fins is 5/7
<h3>The least likely animal</h3>The animal with the least frequency is:
Sea turtle = 1
So, the likelihood is:
Hence, the sea turtle has the least likelihood of 1/14
<h3>Animals with equal likelihood</h3>The Blue fish and the Eels have the same frequency of 3
This means that animals have equal likelihood
<h3>The probability of seeing each animal</h3>
We have:
Blue fish = 3
Yellow fish = 7
Sea turtle = 1
Eels = 3
Express as probability
Blue fish = 3/14
Yellow fish = 7/14
Sea turtle = 1/14
Eels = 3/14
Express the fractions as decimals
Blue fish = 0.214
Yellow fish = 0.500
Sea turtle = 0.071
Eels = 0.214
So, their likelihoods are:
Blue fish = Equally likely
Yellow fish = Certainly likely
Sea turtle = Unlikely
Eels = Equally likely
Read more about probabilities at:
Answer:
a =
b = 12
c =
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths .
A 30-60-90 right triangle has side lengths .
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length . Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to . This means
was multiplied by
. This means that side c is
.
