Haley has a collection of necklaces. Last month, she had 40 necklaces. She now has 76 necklaces.
2 answers:
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Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference (), in centimeters, and the surface area (
), in square centimeters, of a sphere are represented by following formulas:
(1)
(2)
Where is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
(3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area (), in square centimeters:
(4)
Where:
- Measure circumference, in centimeters.
- Possible error in circumference, in centimeters.
If we know that and
, then the maximum error is:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Using the binomial distribution, there is a 0.1201 = 12.01% probability that Alysha will win the bet.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the parameters are given as follows:
n = 20, p = 0.5.
She wins the bet if there are 12 boys, hence the probability is P(X = 12), found as follows:
0.1201 = 12.01% probability that Alysha will win the bet.
More can be learned about the binomial distribution at brainly.com/question/24863377
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