1. y = -1/2 + 2.
2. y= 2/5x - 4/5
Answer: 1/3
Step-by-step explanation:
Here is the complete question:
machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.
The Probability of the above question will be calculated as:
= (10-9) / (11.5 - 8.5)
= 1/3
The above is the easier way to solve this
Given equation is

The given equation is in the form of

a^2= 16 , so a=4
b^2 = 9 so b= 4
The value of 'a' is greater than the value of 'b'
So it is a Horizontal hyperbola
First two graphs are horizontal hyperbola
Here center is (h,k)
h= 5 and k =2 from the given equation
So center is (5,2)
Now we find vertices
Vertices are (h+a,k) and (h-a,k)
We know h=5, k=2 and a=4
So vertices are (9,2) and (1,2)
Second graph having same vertices and center
The correct graph is attached below
Answer:
416 (3 s.f.)
Step-by-step explanation:
To multiply decimals, begin by multiplying the numbers as if there is <u>no decimal</u>:

Count the number of digits <u>after</u> the decimal point in each factor:
- 128.5 → 1 digit after the decimal point.
- 3.24 → 2 digits after the decimal point.
Therefore, there is a total of 3 digits after the decimal points.
Put the same number of digits after the decimal point in the product.
Therefore, the solution is to the multiplication is:
The factor with the <u>fewest signification figures</u> is 3.24.
This number has 3 significant figures.
Therefore, the solution to 3 significant figures is: