Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
Answer:
Confidence Interval = (23.776, 24.224)
Step-by-step explanation:
Restaurant chain claims that its bottles of ketchup contain 24 ounces of ketchup on average.
⇒ Mean = 24 ounces.
Standard Deviation = 0.8
Number of bottles used for sample = 49
⇒ n = 49
Confidence level = 95%
Corresponding z value with 95% confidence level = 1.96
Now, confidence interval is given by the following expression :

Hence, Confidence Interval = (23.776, 24.224)
Answer: OPTION B
Step-by-step explanation:
The red graph shows the parent function of a quadratic function (which is the simplest form of a quadratic function), whose vertex is at the origin.
The function g(x) is the result of shift the parent function 2 units to the right and shift it 1 unit up.
Therefore, keeping the above on mind you have that the transformation has the following form:

Where the horizontal shift depends on the value of<em> h</em> and the vertical shift depends on the value of <em>k</em>.
Therefore, you obtain the function:

Answer:
It will take Mrs Chandler 18 hours 45 minutes or 18.75 hours to catch up Mr Chandler
Step-by-step explanation:
What we want to know here is that at how many hours will they have traveled same distance.
Let the total time taken by Mrs Chandler to catch up be x hours
Since Mr Chandler left 2.5 hours earlier , then the total time taken by him would be x + 2.5 hours
Now, we know that distance = speed * time
Since it’s same distance covered;
For Mr Chandler, his distance is calculated as 75(x + 2.5)
For Mrs Chandler, her distance is calculated as 85x
We equate both since they are equal;
75(x + 2.5) = 85x
75x + 187.5 = 85x
85x -75x = 187.5
10x = 187.5
x = 18.75 hours or 18 hours 45 minutes