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Flura [38]
3 years ago
5

What is the greatest possible whole-number value of the congruent side lengths?

Mathematics
1 answer:
UNO [17]3 years ago
5 0

Answer:

In an obtuse triangle, the square of the longest side is greater than the sum of squares of the other two sides. So the equal legs must have a length  

L^2 + l^2=2l^2

14^2+14^2=20^

196+196=400

392=400

14cm is the greatest

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Arlecino [84]

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

Step-by-step explanation:

Previous concepts

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".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=30, p=0.05)

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!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

3 0
3 years ago
I NEED PART B AND C DONE I DID PART A, PLEASE HELP AND TELL ME WHAT PART YOU ARE SOLVING ALSO LOTS OF POINTS!!!
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Answer:

(8,10) is not a solution

Step-by-step explanation:

Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false

2x + y _< 8

2(8) + 10 _< 8

18 + 10 _< 8

28 _< 8 false

X + y _> 4

8 + 10 -> 4

18 _> 4 true

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What is the main difference between multiplying fractions and dividing fractions?
Elenna [48]
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4 less than the number product of a number and 8 is 44 .what it the number
Anettt [7]

Set up the problem like this: x - 4 + 8 = 44

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x+4=44

  -4   -4                (subtract 4 from both sides)

x=40

Answer: the number is 40.

3 0
3 years ago
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