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Ganezh [65]
3 years ago
14

Which expression could be used to determine the perimeter of the triangle?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

A. 9x + 4

Step-by-step explanation:

Perimeter of a triangle = side A + side B + side C

Side A = 2.5x + 3

Side B = x + 6

Side C = 5.5x - 5

Perimeter of a triangle = side A + side B + side C

= (2.5x + 3) + (x + 6) + (5.5x - 5)

= 2.5x + 3 + x + 6 + 5.5x - 5

= 2.5x + x + 5.5x + 3 + 6 - 5

= 9x + 4

Perimeter of a triangle = 9x + 4

The correct answer is A. 9x + 4

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The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 8.3 cm.
Gre4nikov [31]

a. Find the probability that an individual distance is greater than 214.30 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (214.30 – 205) / 8.3

z = 1.12

Since we are looking for x > 214.30 cm, we use the right tailed test to find for P at z = 1.12 from the tables:

P = 0.1314

 

b. Find the probability that the mean for 20 randomly selected distances is greater than 202.80 cm

We find for the value of z score using the formula:

z = (x – u) / s

z = (202.80 – 205) / 8.3

z = -0.265

Since we are looking for x > 202.80 cm, we use the right tailed test to find for P at z = -0.265 from the tables:

P = 0.6045

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

I believe this is because we are given the population standard deviation sigma rather than the sample standard deviation. So we can use the z test.

7 0
3 years ago
Rita = 2500
ExtremeBDS [4]

Let the price at which she sells the hi-fi set be x ~

\huge \bf༆ Answer ༄

The Money that she lose at the end of 2 years :

  • \sf \: 2500 - x

Loss percentage is equal to :

  • \sf \dfrac{2500 -x }{2500}  \times 100 = 20

  • \sf \dfrac{2500  - x}{25}  = 20

  • \sf2500 - x = 20 \times 25

  • \sf2500 - x = 500

  • \sf - x = 500 - 2500

  • \sf  - x =  - 2000

  • \sf x = 2000

So, the money she end up getting after selling that hi-fi set is 2500, that is also the money She have at the end of the two years ~

꧁  \:\large \rm{kaul} \: ꧂

6 0
3 years ago
Mission Company is preparing its annual profit plan. As part of its analysis of the profitability of individual products, the co
DanielleElmas [232]

Answer:

Arrange the following number in descendig otder

8 0
3 years ago
Help asap
mylen [45]

Answer:

B.2 1/41

Step-by-step explanation:

In a perfect square trinomial of the form ax+bx+c where a, b and c are constants, the value of (b/2)²=ac

In the provided equation the value of a=1, b=-3 c=?

Therefore, (-3/2)²=c since a-the coefficient of x²=1 and 1×c=c

c=2.25= 2 1/4

Thus the trinomial x² - 3x + 2 1/4 is a perfect square.

5 0
3 years ago
The image shown has two triangles sharing a vertex:
Elden [556K]
Ans is <span>y, because Triangle JHK is similar to triangle LMK</span>
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3 years ago
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