Events A and B are termed independent when
if not, events A and B are classified as dependent.
The events A, B and A∩B are:
- A - Jane plans to attend a ballgame on Monday;
- B - Kate intends to go to a ballgame on Monday;
- A∩B - Both Kate and Jane will be at the ballgame on Monday.
Answer: events A and B are dependent
The initial step is to analyze the graph's behavior.
It doesn’t follow a linear pattern, as the rate of change is inconsistent.
It also isn’t exponential since the change rate doesn't fluctuate significantly.
For this scenario, the most suitable regression model would be of the type:
Where,
a <0: This indicates that the parabola opens downwards.
Hence, the most appropriate regression model is quadratic.
Answer:
From visual analysis, the most fitting regression model for the data observed is:
A. Quadratic
Answer:
347.3 cubic units
Step-by-step explanation:
To calculate the volume of the empty space, we derive the total volume of the two shapes and subtract the volume of the sphere from that of the cube.
The volume of a cube is calculated as l^3.
Here, the length is given as 9, so we compute 9x9x9, resulting in 729 cubic units.
The formula for the volume of a sphere is 4/3 pi r^3.
The radius is 4.5 (half of the diameter), thus:
4/3*91.125 pi
which becomes 121.5 pi = 381.7 (to one decimal place).
Subtracting these gives us 729-381.7 = 347.3.
The volume of the empty space equals 347.3 cubic units.
The comprehensive expression in reference to the given d:
Volume of empty space = d^3 - 4/3 pi (d/2)^3
I hope this was helpful!
The solution is $56.95. A discounted price refers to the amount deducted from the original price when customers receive a benefit from the seller. Here, the ticket's discounted cost is $44, which is $12.95 less than what it originally cost. Thus, the original price is: $44 + $12.95 = $56.95.
