a coin lands on heads 200 times. the relative frequency of heads is 0.4. how many times was the coin thrown?
2 answers:
Answer:
The number of times coin thrown was <u>500</u>.
Step-by-step explanation:
Given:
A coin lands on heads 200 times. the relative frequency of heads is 0.4.
Now, to find the times coin was thrown.
Let the number of times coin thrown was be
Relative frequency = 0.4.
Number of lands on heads = 200.
So, to get the number of times coin was thrown we put formula:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 0.4 we get:</em>
Therefore, the number of times coin thrown was 500.
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The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
<h3>How to find the capacitance</h3>Capacity of a cylinder is seen as its volume
Volume of a cylinder = πr²h
The heights of the cylinders are
a. 3cm
b. 9cm
c. 5cm
Let's find the radius
Capacity = 3. 142 × r² × 3
725 = 3. 142 × r² × 3
r² =
r² =
r² = 76. 91
r = √76. 91
r = 8. 77cm
Radius of the cylinders = 8. 77cm
For cylinder with height of 9cm
Capacitance = πr²h
Capacitance = 3. 142 × 8. 77 × 8. 77 × 9
Capacitance = 2174. 94 cm³
For cylinder with height of 5cm
Capacitance = 3. 142 × 8. 77 × 8. 77 × 5
Capacitance = 1208. 30 cm³
Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.
Learn more about volume of a cylinder here:
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