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3 years ago

Which statement regarding the diagram is true?

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

7 0

Answer

<span>m∠WXY + m∠YXZ = 180°</span>

elixir [45]3 years ago

5 0

Your answer is option C,

m∠WXY + m∠YXZ = 180°

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

drek231 [11]

Answer:

$P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153$

$P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297$

$P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722$

$P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811$

$P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180$

And adding the values we got:

$P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164$

Step-by-step explanation:

Assuming this question: P(X≥14), n=18, p=0.8

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".

Solution to the problem

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

$X \sim Binom(n=18, p=0.8)$

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 we want this probability:

$P(X \geq 14) = P(X=14) +P(X=15) +P(X=16)+P(X=17)+P(X=18)$

And we can find the individual proabilities using the probability mass function:

$P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153$

$P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297$

$P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722$

$P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811$

$P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180$

And adding the values we got:

$P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164$

5 0

3 years ago

Jerry went for an 18 mile bike ride, he completed 2/9 of his trip. How many more miles of the trip does jerry have to complete

STALIN [3.7K]

Answer:

14 miles remaining.

Step-by-step explanation:

2/9 of 18 is 4 -

2/9 x 18/1 = 36/9 = 4

Then you just subtract 4 from 18

18 - 4 = 14

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3 years ago

A line is perpendicular to y = 3x - 8

Leya [2.2K]

Answer: the equation is y=-1/3x

Thanks!

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3 years ago

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Simplify.

Mekhanik [1.2K]

Answer:

3x^2y

Step-by-step explanation:

Find the cubic root of each term

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3 years ago

Math Escape Level 3 plz hurry it is due to today bestie

fenix001 [56]

Answer:

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

8 0

3 years ago