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2 years ago

I am so confused somebody please help me

Mathematics

1 answer:

Neko [114]2 years ago

6 0

Answer:

26.0cm

Step-by-step explanation:

sin35=12/BD

BD=20.9cm

20.9/sin52=CD/sin102

CD=26.0

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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

Marta_Voda [28]

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:

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 "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:

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

7 0

3 years ago

Read 2 more answers

Simplify the expression by adding or subtracting the linear expressions. 7x + 9x + 8 + 4x + 5 *

Lady_Fox [76]

Answer:

Step-by-step explanation:

7x+9x+4x+8+5=20x+13

20+13.

Hope this helps :D

4 0

3 years ago

How far is the little guy from the flagpole (assuming a right angle between the flagpole and the ground)? Explain how you got yo

Naya [18.7K]

Answer:

b = 9 ft

Step-by-step explanation:

Pythagorean Theorem:

a^2 + b ^2 = c^2

Given:

a = 12

b = ?

c = 15

Plug in values:

12^2 + b^2 = 12^2

Solve for b^2:

b^2 = 15^2 - 12^2

b^2 = 225 - 144

b^2 = 81

Take square root of both sides to find b:

sqrt(b^2) = sqrt(81)

b = 9

Hope this helps! :)

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3 years ago

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mafiozo [28]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago