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3 years ago

D= V(x2 - 1)2 + (12 - y1)?

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

The approximate length of segment EF is 7 unit

Step-by-step explanation:

Given figure is the graph having E and F coordinate

The coordinate of point E = ( $x_1$ , $y_1$ ) = ( - 2 , -4 )

The coordinate of point F = ( $x_2$ , $y_2$ ) = ( 2 , 2 )

Let The distance between the points E and F = D

So, D = $\sqrt{(x_2 - x_1)^{2} + ( y_2 - y_1 )^{2} }$

or, D = $\sqrt{(2 - (- 2 ))^{2} + ( 2 - ( - 4 ))^{2} }$

Or, D = $\sqrt{( 4 )^{2} + ( 6 )^{2} }$

or, D = $\sqrt{16 + 36}$

∴ D = $\sqrt{52}$

I.e D = 7.21 unit

So, Approximate value of D = 7 unit

Hence The approximate length of segment EF is 7 unit . Answer

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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

((-2^2)(-1^-3))•((-2^-3)(-1^5))^-2

Vitek1552 [10]

Answer:

256

Step-by-step explanation:

A calculator works well for this.

_____

None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.

1 to any power is still 1, so the factors (1^n) can be ignored.

After you ignore all of the things that can be ignored, your problem simplifies to ...

(2^2)(2^-3)^-2

The rules of exponents applicable to this are ...

(a^b)^c = a^(b·c)

(a^b)(a^c) = a^(b+c)

Then your product simplifies to ...

(2^2)(2^((-3)(-2)) = (2^2)(2^6)

= 2^(2+6)

= 2^8 = 256

3 0

3 years ago

Factor 30b2 + 48b - 24

iogann1982 [59]

IM going to assume that the "2" is to be squared. If so, then the answer is 2(15x^2+8)

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3 years ago

Simplify -2[-6(-4 7)] 36 -24 -36

7nadin3 [17]

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4 years ago

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Gnoma [55]

Answer:

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Step-by-step explanation:

YOU NEED TO PUT THE M FIRST NOT THE X

4 0

3 years ago