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:
The daily shop productivity is 480 frames
Step-by-step explanation:
The daily machine productivity refers to the TOTAL production made in a day.
The problem says that a shop produces metal on two different machines. It means that you must take into account the daily production of each one for finding the total production.
The first machine produces 300 frames in a day.
The second machine produces 180 frames in a day too.
So, if the first and the second machines are working together in a single day, the TOTAL daily production is the sum of the production of each one.

Thus, the daily shop productivity is 480 frames
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is

The y-intercept or initial value is

substitute

Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T


-2^6-(6)^2= -100. Hope this helps have a great day. :)
Step-by-step explanation:
(=) 1 ( x-5 ) > 6x-17
(=) x-5 > 6x -17
(=) -5x > -12
=> x < 12/5