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Scilla [17]
3 years ago
11

Find the perimeter of a rectangle with sides 3x + 6 and -2x -8​

Mathematics
2 answers:
patriot [66]3 years ago
5 0

Answer:

The perimeter of a rectangle with sides 3x + 6 and -2x - 8​ will be:

P = 2x - 4

Step-by-step explanation:

We know that the perimeter of a rectangle of length 'l' and width 'w' is given by the formula

  • P = 2(length + width)

Given the sides of a rectangle

  • 3x + 6
  • -2x - 8​

As the opposite sides of a rectangle are congruent.

Therefore, we conclude that the Perimeter of a rectangle can be determined using the formula

\:P\:=\:2\left(3x\:+\:6\:+\:\left(-2x\:-\:8\right)\right)

    =2\left(3x+6-2x-8\right)

    =2\left(x-2\right)

     =2x-4

Therefore, the perimeter of a rectangle with sides 3x + 6 and -2x - 8​ will be:

P = 2x - 4

vazorg [7]3 years ago
3 0

Answer:

2x - 4

Step-by-step explanation:

2(3x + 6) = 6x + 12

2(-2x - 8) = -4x -16

6x + 12 - 4x - 16 = 2x - 4

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6 and the square root of 9 are both rational numbers and they are being multiplied by 5 which is also rational.

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Fruit -o- Rama sells dried pineapple for $0.25 per ounce.Mags spent a total of $2.65 on pineapple. How many ounces did she buy?
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A Travel Weekly International Air Transport Association survey asked business travelers about the purpose for their most recent
siniylev [52]

Answer:

(a) P (p' > 0.25) = 0.

(b) P (0.15 < p' < 0.20) = 0.7784.

(c) P (133 < X < 171) = 0.2205

Step-by-step explanation:

Let <em>p</em> = proportion of business trip that were for  internal company visit.

It is provided that 19% responded that it was for an internal company visit, i.e.

<em>p</em> = 0.19.

A sample of <em>n</em> = 950 business travelers are randomly selected.

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

Thus, the distribution of \hat p is N (<em>μ</em> = 0.19, <em>σ </em>= 0.013).

(a)

Compute the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (p' > 0.25) = P (Z > 4.62) = 0

*Use a <em>z</em>-table for the probability.

Thus, the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.

(b)

Compute the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit as follows:

P (0.15 < p' < 0.20) = P (-3.08 < Z < 0.77)

                               = P (Z < 0.77) - P (Z < -3.08)

                               = 0.7794 - 0.0010

                               = 0.7784

*Use a <em>z</em>-table for the probability.

Thus, the probability that between 15% and 20% of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.7784.

(c)

Compute the proportion of <em>X</em> = 133  and <em>X</em> = 171 as follows:

p' = 133/950 = 0.14

p' = 171/950 = 0.18

Compute the value of P (0.14 < p' < 0.20) as follows:

P (0.14 < p' < 0.18) = P (-3.85< Z < -0.77)

                               = P (Z < -0.77) - P (Z < -3.85)

                               = 0.2206- 0.0001

                               = 0.2205

*Use a <em>z</em>-table for the probability.

Thus, the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit is 0.2205.

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