A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon to the nearest squa
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Probabilities are used to determine the chances of events
The given parameters are:
- Sample size: n = 20
- Proportion: p = 85%
Using the binomial probability formula, we have:
So, the equation becomes
This gives
Express as percentage
Hence, the probability that 11 out of the 20 would graduate is 0.11%
<h3>(b) To what extent do you think the university’s claim is true?</h3>The probability 0.11% is less than 50%.
Hence, the extent that the university’s claim is true is very low
<h3>(c) What is the probability that all 20 would graduate? </h3>Using the binomial probability formula, we have:
So, the equation becomes
This gives
Express as percentage
Hence, the probability that all 20 would graduate is 3.88%
<h3>(d) The mean and the standard deviation</h3>The mean is calculated as:
So, we have:
The standard deviation is calculated as:
So, we have:
Hence, the mean and the standard deviation are 17 and 2.55, respectively.
Read more about probabilities at:
Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.
Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3
~Hope I helped!~
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.
Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3
~Hope I helped!~