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Question:
In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?
Answer:
Probability that a bird will win the top prize is 0.167
Step-by-step explanation:
Given:
The number of dogs = 7
The number of cats = 6
The number of birds = 3
The number of gerbils = 2
To Find:
Probability that a bird will win the top prize = ?
Solution:
Let us first find the total number of pets .
The Total number of pets = 7 + 6 + 3 + 2 = 18
Now the probability of a bird will win the top prize is
=>
=>
=>
=>0.167
Answer:
36:85
Step-by-step explanation:
Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.
According to CAH
Cos∠N = Adjacent/Hypotenuse
Hypotenuse is the longest of the triangle |ON| = 85
Since the opposite side to ∠N is 77, the third side will be the Adjacent side.
Adjacent side will be |NP| = 36
Therefore:
Cos∠N = 36/85
The ratio that represents the cosine of ∠N is 36:85
