HELPPPP MEEEEEEEE ! Can you have a right triangle where the lengths of the legs are whole numbers and the length of the hypotenu
se is 23? Explain.
2 answers:
Answer:
The answer is NO
Step-by-step explanation:
Firstly, any <em>right triangle</em> has to obey the Pythagorean Theorem Formula.
This theorem says:
If a, b are two sides of the triangle and c is the hypotenuse, the formule is:
There are few combinations of whole numbers that satisfy the equation. They are called "Pythagorean Triples". I have attached an image that it shows these combinations. You can choose whatever combination and its multiples satisfy the equation as well.
Finally, if you see the image, there are not combination where the hypotenuse is 23.
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Answer:
There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.
Step-by-step explanation:
With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:
- n=4 (the amount of batteries picked for the sample).
- p=3/10=0.3 (the proportion of dead batteries).
- k≥1 (the amount of dead batteries in the sample needed to not sell the package).
The probability of having k dead batteries in the sample is:
Then, the probability of having one or more dead batteries in the sample (k≥1) is:
