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3 years ago

Solve the equation, and check the solution. 1/3s =1/5

Mathematics

2 answers:

Vaselesa [24]3 years ago

7 0

Answer:

3/5

Step-by-step explanation:

1/3s=1/5

s=(1/5)/(1/3)

s=(1/5)(3/1)

s=3/5

Leni [432]3 years ago

6 0

Answer: s = 3/5 = 0.600

Step-by-step explanation:s = 3/5 = 0.600

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/3*s-(1/5)=0

Step by step solution :

Step 1 :

Simplify —

Equation at the end of step 1 :

1 1

(— • s) - — = 0

3 5

Step 2 :

Simplify —

Equation at the end of step 2 :

1 1

(— • s) - — = 0

3 5

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 5

Number of times each prime factor

appears in the factorization of: Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

3 1 0 1

5 0 1 1

Product of all

Prime Factors 3 5 15

Least Common Multiple:

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 5

Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. s • 5

—————————————————— = —————

L.C.M 15

R. Mult. • R. Num. 3

—————————————————— = ——

L.C.M 15

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

s • 5 - (3) 5s - 3

——————————— = ——————

15 15

Equation at the end of step 3 :

5s - 3

—————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

5s-3

———— • 15 = 0 • 15

Now, on the left hand side, the 15 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

5s-3 = 0

Solving a Single Variable Equation :

4.2 Solve : 5s-3 = 0

Add 3 to both sides of the equation :

5s = 3

Divide both sides of the equation by 5:

s = 3/5 = 0.600

One solution was found :

s = 3/5 = 0.600

BTW YOu can but the answer as 0.600 or 3/5

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You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first

Tomtit [17]

Answer:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729$

And the probability of loss with the first wersion is 0.729

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

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

Alternative 1

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

$X \sim Binom(n=3, p=0.1)$

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:

$nCx=\frac{n!}{(n-x)! x!}$

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

$P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729$

And the probability of loss with the first wersion is 0.729

Alternative 2

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

$Y \sim Binom(n=5, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(Y)=(nCy)(p)^y (1-p)^{n-y}$

Where (nCx) means combinatory and it's given by this formula:

$nCy=\frac{n!}{(n-y)! y!}$

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

$P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774$

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

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3 years ago

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Tatiana [17]

Answer: 9

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle.

$a^2+b^2=c^2$

$(\sqrt{63}) ^2+x^2=12^2\\63+x^2=144\\x^2=81\\x=9$

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3 years ago

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3 years ago

The total price of a shirt and a cap is $11. If the price of the shirt was doubled and the price of the cap was three times its

otez555 [7]

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2 years ago

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Montano1993 [528]

Answer:

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Explanation:

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2 years ago

Solve the equation, and check the solution. 1/3s =1/5​

Solve the equation, and check the solution. 1/3s =1/5