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Firdavs [7]
3 years ago
14

A rectangle is 4 times as long as it is wide. The perimeter of a rectangle is 50 cm. What are the dimensions of the rectangle?

Mathematics
2 answers:
marissa [1.9K]3 years ago
7 0
We use the equation 2x+8x=50.

10x=50
x=5

The rectangle will be 20 cm long and 5 cm wide.

Hope this helps!
Contact [7]3 years ago
4 0

Answer:

5 cm ( width ) , 20 cm (length)

Step-by-step explanation:

Let width = w

Let length = 4w

Perimeter = 50

Perimeter formula for a rectangle = 2l + 2w

Plug in the variables (width and length)

2(w) + 2(4w) = 50

2w + 8w = 50

10w = 50

w = 5

<u>Remember, recall that length = 4w</u>

length = 4w

length = 4(5)

length = 20

Therefore, the dimensions of the rectangle are 5 by 20 cm

<h3><em>If this helped you, please make sure to give me the brainliest answer to support me. It will be greatly appreciated. Thank you!</em></h3>

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The 5 - number summary of the distribution obtained from the boxplot is :

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  • Upper quartile = 58
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Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

  • Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

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  • Lower quartile = 35 (starting point of the box)
  • Median = 44 (vertical line in between the box)
  • Upper quartile = 58 (endpoint of the box)
  • Maximum = 85 (endpoint of the upper whisker).

Outlier :

  • Lower boundary = LOWER QUARTILE - (1.5 × IQR)
  • Upper boundary = UPPER QUARTILE + (1.5 × IQR)
  • IQR = UPPER QUARTILE - LOWER QUARTILE
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Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

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Hence, values lesser than 0.5 or greater than 92.5 are outliers.

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Learn more : brainly.com/question/24582786

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Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

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

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