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Ipatiy [6.2K]
3 years ago
14

The answer to this maths question

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

\dfrac{2.04}{4}=0.51

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

\dfrac{4.68}{9}=0.52

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

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25 out of 27 as a percentage
Basile [38]
25/27 = 0.925925925...

It's almost equal to 1 and it turns out that 1 is 100%.

So, we'd say that it's equal to:

92.59% (to 2 decimal places)

We've multiplied the value above (25/27) by 100.
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F(x)=3x-9 for inverse function?
Ahat [919]

Answer:

f − 1 ( x ) = x/3+ 3

Step-by-step explanation:

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I need help REALLY FAST what is the distance between the points (-1, -3 3/4) and (-1, 4 1/2) ?
kodGreya [7K]

Answer:

8 1/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, -3.75)

Point (-1, 4.5)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(-1--1)^2+(4.5--3.75)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(0)^2+(8.25)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{0+68.0625}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{68.0625}
  5. [√Radical] Evaluate:                                                                                          \displaystyle d = 8.25
4 0
3 years ago
Tic-tac-toe: In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is
Natasha2012 [34]

Answer:

P(X \geq 1) = 1-P(X

And if we find the individual probability we got:

P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865

And replacing we got:

P(X \geq 1) = 1-P(X

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, on this case we now that:

X \sim Binom(n=7, p=0.127)

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 \geq 1)

And we can use the complement rule and we got:

P(X \geq 1) = 1-P(X

And if we find the individual probability we got:

P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865

And replacing we got:

P(X \geq 1) = 1-P(X

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BartSMP [9]
Subtract 3t from the equation to get 2t=-7.  Multiply by three to find that 6t=-21.
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