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erma4kov [3.2K]
3 years ago
10

Equivalent Ratio 56:35 write in smallest form​

Mathematics
2 answers:
RSB [31]3 years ago
5 0

Answer:

Step-by-step explanation:

6:5

Igoryamba3 years ago
4 0

\huge\text{Hey there!}

\large\text{Ratio that is equivalent to}\rightarrow\large\text{56:35}

\large\text{You could simplify the ration of 56:35 by DIVIDING them by their}\\\large\text{GCF (their Greatest Common Factor)}

\large\text{35: 1, 5, 7, \& 35}

\large\text{56: 1, 2, 4, 7, 8, 14, 28, \& 56}

\large\text{The GCF of both 35 \&  56 is: 7}

\large\text{So, DIVIDE both of your terms (56 and 35) by 7}

\mathsf{56\div7=8}\\\\\mathsf{35\div7=5}

\large\text{56}\rightarrow\large\text{\bf{\underline{8}}}

\large\text{35}\rightarrow\large\text{\bf{\underline{5}}}

\large\text{56:35 = \bf{8:5} }\large\checkmark

\boxed{\boxed{\large\text{Therefore your answer is}\rightarrow\large\text{\bf{8:5}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in fire control by the number of sprinklers t
gregori [183]

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial  probability distribution because:

  • In the question it is given that the sprinklers activate correctly or not independently.
  • The number of outcomes are two i.e. sprinklers activate correctly or not.

A binomial distribution is a probability of a success or failures outcomes in an  repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

b = binomial probability  also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

C_{n,x} is calculated as:

C_{n,x} = n! / x!(n – x)!

        = 10!  / 10!(10-10)!

        = 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = C_{n,x}*p^{x}  * (1 - p)^{n-x}

           = C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

           =  1 * 0.0282 * (0.3) ⁰

           = 1 * 0.0282 * 1

  P(X=x)        = 0.0282

5 0
3 years ago
PLZ HELP
Oksi-84 [34.3K]

Answer:

The factorization is given below:

Step-by-step explanation:

The factorization is given below:

a.x^2 - 2x

(x - 2) (x)

b.  6x^2 + 12x

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6x (x + 2)

c. 3x^2 - 9x

3(x^2 - 3x)

3(x - 3) (x)

d. 4x^2 + 28x^3

4x^2 (1 + 7x)

7 0
3 years ago
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