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Liono4ka [1.6K]
3 years ago
5

Use proper probability notation. Identify function and label inputs when using technology.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

0.1349

Step-by-step explanation:

Given that:

Sample size, n = 500

20% of 500 ; 0.2 * 500 = 100

p = 0.18 ; n = 500 ; 1 - p = 0.82

P(x ≥ 100) ;

Using the binomial probability relation :

P(x =x) = nCx * p(x)^x * (1 - p)^(n - x

P(x ≥ 100) = 500C100 * 0.18^100 * 0.82^400

P(x ≥ 100) = 0.1349

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The factored form of an equation is the simplest form of the equation that is obtained by factoring out a common variable or constant from multiple terms. Many types of polynomials are presentable in factored form, but the more terms an equation contains, the more difficult it is to find common factors.
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You are hiking on a trail that leads to the top of the mountain. At 1 PM you reach an elevation of 4400 feet. At 4 PM you reach
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The time from 1 to 4 is 3 hours. (1-2, 2-3, 3-4). 

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3 years ago
Line L is mapped onto the line t by a dilation centered at
STatiana [176]

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

  • If the equation of a  line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
  • The line and its image are parallel
  • The coordinates of a general point on the image is (kx , ky)

Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

   equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

<em>Very important note:</em>

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Learn more:

You can learn more about dilation in brainly.com/question/2480897

#LearnwithBrainly

7 0
3 years ago
What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)
igor_vitrenko [27]

Step-by-step explanation:

4(3x-2) + 6x(2-1)

10x + 11x

21x

8 0
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Natasha_Volkova [10]
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