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djyliett [7]
3 years ago
5

Elinor determined that a triangle with side lengths 6, 10, and 8 does not form a right triangle. 62 + 102 = 82 36 + 100 = 64 136

≠ 64 Is her answer correct? No, she should have added 82 and 102 and compared that to 62. No, she should have subtracted 102 from 82 and compared that to 62. No, she should have added 62 and 82 and compared that to 102. Yes, she is correct.
Mathematics
2 answers:
Mamont248 [21]3 years ago
7 0

Answer:

No, She should have added 6² and 8² and compared that to 10².

Step-by-step explanation:

I GOT IT RIGHT ON EDGE...

bazaltina [42]3 years ago
5 0

Answer:

incorrect

Step-by-step explanation:

To determine if the triangle is right

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right, that is

longest side = 10 and 10² = 100

6² + 8² = 36 + 64 = 100

Thus the triangle is right.

She should have added 6² and 8² and compared that to 10²

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If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
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Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

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The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

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