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3 years ago

Construct an equation then solve it .

Mathematics

2 answers:

klasskru [66]3 years ago

6 0

Step-by-step explanation:

5(2+x)=2x/10

mutiply both sides by 10

10×5(2+x)=10×(2x/10)

50(2+x)=2x

100+50x=2x

50x- 2x=-100

48x= -100

x=-100/48

x=-2.083

alexandr1967 [171]3 years ago

5 0

Answer:

The required equation is: $5*(x+2)=\frac{2x}{10}$ and after solving we get

value of x to be $x=-\frac{25}{12}$

Step-by-step explanation:

We need to construct an equation and then solve the equation.

Let the number be x.

Mathematical form of Add 2 to a number then multiply the result be 5 will be:

5*(x+2)

Mathematical form of dividing twice the number by 10: 2x/10

Final equation will be: $\textbf {5*(2x)=\frac{2x}{10}}\\$ $5*(x+2)=\frac{2x}{10}\\$

Now, we will solve the equation:

$5*(x+2)=\frac{2x}{10}\\\\5x+10=\frac{x}{5}$

Multiply both sides by 5

$5*(5x+10)=\frac{5x}{5}\\25x+50=x$

Subtracting 25x from both sides

$25x+50-25x=x-25x\\50=-24x\\$

Divide both sides by -24

$\frac{50}{-24}=\frac{-24x}{-24}\\x=\frac{50}{-24}\\x= - \frac{25}{12} \\$

So, value of x is $x=-\frac{25}{12}$

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Step-by-step explanation:

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Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with

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Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)= { m } {N - m }

{x } {n - x}

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

{ N }

{ n }

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

P(X= 0) = { 2 } { 10 - 2 }

{0 } { 2 - 0}

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

{ 10 }

{ 2 }

P (X = 0) = { 2 } { 8}

{ 0 } { 2 }

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

{ 10 }

{ 2 }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

the probability that one motor will operate satisfactorily and the other will not.

P(X=1) = { 2 } { 10 - 2 }

{ 1 } { 2 - 1 }

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

{ 10 }

{ 2 }

P(X=1) = { 2 } { 8 }

{ 1 } { 1 }

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

{ 10 }

{ 2 }

P(X=1) = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

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3 years ago