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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:
Step-by-step explanation:

Answer: f(x) = - 7x/17 - 29/17
Step-by-step explanation:
The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c
Where
c represents the y intercept.
m represents the slope of the line.
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The line passes through (8, - 5) and (- 9, 2),
y2 = 2
y1 = - 5
x2 = - 9
x1 = 8
Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =
- 7/17
To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into
y = mx + c. It becomes
- 5 = - 7/17 × 8 + c
- 5 = - 56/17 + c
c = - 5 + 56/17
c = - 29/17
The equation becomes
f(x) = - 7x/17 - 29/17
X=k*Y
K*Y=X
K=X/Y
K=20/5
K=4
For Y=3/2
X=k*3/2
X=4*3/2
X=6