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3 years ago

Evaluate : [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Mathematics

2 answers:

marshall27 [118]3 years ago

5 0

<h3>Solution:</h3>

Evaluating the expression using BODMAS:

Work

Step-1: [11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Step-2: ⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2 [Bracket subtraction]

Step-3: ⇒ [11 - 20/39 ÷ 3 + 8] x 2 [Bracket division]

Step-4: ⇒ [11 - 20/39 x 1/3 + 8] x 2

Step-5: ⇒ [11 - 20/117 + 8] x 2 [Bracket multiplication]

Step-6: ⇒ [19 - 20/117] x 2 [Bracket addition]

Step-7: ⇒ [2223/117 - 20/117] x 2

Step-8: ⇒ [2203/117] x 2 [Bracket subtraction]

Step-9: ⇒ 2203/117 x 2

Step-10 ⇒ 4406/117 (Final Answer) [Multiplication]

stellarik [79]3 years ago

4 0

Answer:

4406/117

Step-by-step explanation:

Order of operations PEMDAS

Parentheses:

[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

= [11 - 20 ÷ 39 ÷ 3 + 8] x 2

Multiply or divide:

⇒ [11 - 20 ÷ 39 ÷ 3 + 8] x 2

= [11 - 20/117 + 8] x 2

Parentheses:

⇒ [11 - 20/117 + 8] x 2

= 2203/117 x 2

Multiply or divide:

⇒ 2203/117 x 2

= 4406/117

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3 years ago

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

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 we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

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4 years ago

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alina1380 [7]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?

Aleks [24]

Answer:

$y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]$

Step-by-step explanation:

First, find the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}$

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

$y - y_1 = m[x - x_1]$

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