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dsp73
3 years ago
5

Graph (3,4) when the radius is 6

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

(x-3)^2+(y-4)^2=6^2

Step-by-step explanation:

(x-3)^2+(y-4)^2=6^2

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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
Alex17521 [72]

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

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 3x + 2.5(4x + 2)?
Alex787 [66]

Answer:

I think its B

Step-by-step explanation:

Hope this helps:)

6 0
3 years ago
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EASY GEOMETRY**<br>name the BAC labeled in the triangle.​
ehidna [41]

Answer:

Acute

Step-by-step explanation:

This answer is acute because obtuse is arm width a right angle is a straight L a straight angle is just a line and acute angle is a little pinch

6 0
4 years ago
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A right rectangular prism is 6.5 cm by 14 cm by 5 cm. What is the surface area of the prism?
irina1246 [14]

Answer:

387

Step-by-step explanation:

Formula: 2(lw+hl+wh)

2(14*6.5+14*5+6.5*5) = 387

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3 years ago
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In the figure shown below, find the values of the angles given in the first column.
ladessa [460]

Answer:

2) 77°

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Step-by-step explanation:

2) 77

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6 0
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