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madam [21]
3 years ago
5

Is this statement true or false?

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

true

Step-by-step explanation:

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Please solve <img src="https://tex.z-dn.net/?f=18%5E2%5Ex%5E-%5E1%3D100" id="TexFormula1" title="18^2^x^-^1=100" alt="18^2^x^-^1
mel-nik [20]
Answer: x= log18 (10) +1/2
x= 1.29664

Good luck !
8 0
3 years ago
Software filters rely heavily on ""blacklists"" (lists of known ""phishing"" URLs) to detect fraudulent e-mails. But such filter
crimeas [40]

Answer:

a) X \sim Binom(n=16, p=0.2)  

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!}  

The expected value is given by this formula:

E(X) = np=16*0.2=3.2

b) P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815

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".  

Part a

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

X \sim Binom(n=16, p=0.2)  

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!}  

The expected value is given by this formula:

E(X) = np=16*0.2=3.2

Part b

For this case we want this probability:

P(X=0)

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 using this function we got:

P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815

6 0
3 years ago
Which similarity statement describe the relationship between the two triangle? Check all that apply
anzhelika [568]

Answer:

If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar

8 0
3 years ago
Change 8.5%into a decimal
Klio2033 [76]

Answer:

0.085

Step-by-step explanation:

1% is the same as 0.01, so 8.5% of 100 is 0.085

4 0
3 years ago
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In a 30°- 60° - 90° right triangle, the longer leg has a length of 10 square root of 3. what is the length of the shorter leg?
shutvik [7]
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