Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
per ticket
---- for 1
--- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
Next, calculate the total amount of the prizes
The expected value E(x) of 1 ticket is calculated as:
Solving (b): Raffle 2
Given
per ticket
---- for 1
--- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
Next, calculate the total amount of the prizes
The expected value E(x) of 1 ticket is calculated as:
Answer:
5×2y=2:z (5-,-6 and is perpendicular to the line .
Step-by-step explanation:
5×2y=2:
The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.
<h3>What is volume?</h3>
Volume is the capacity of an object.
To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.
Formula:
- S = πr√(r²+h²)............. Equation 1
- V = πr²h.................. Equation 2
Where:
- S = Surface area of the cone
- V = Volume of the cone
- r = Radius of the base of thye cone
- h = Vertical height of the cone.
From the diagram,
Given:
- r = 10 km
- h = 24 km
- π = 3.14
Substitute these values into equation 1 and equation 2 respectively.
- S = 3.14×10[√(24²+10²)
- S = 31.4(√676)
- S = 31.4×26
- S = 816.4 km²
Also for the volume of tyhe cone
- V = 3.14×10²×24
- V = 7536 km³
Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.
Learn more about volume here: brainly.com/question/1972490
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median is the middle of the data , so put the data in order from smallest to largest
15,22,37,49,72
The middle is 37
Median: 37
The answer is 210 because you do the checkmark approach on 12 1/2 and you get 25 over 2 and when you do the checkmark approach on 17 1/5 is it 86 over 5 then you multiply the two fractions and you get 2150÷10 and then you get your answer to 210!