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iris [78.8K]
2 years ago
6

The slope of the line below is 2. Use the coordinates of the labeled point to find the point-slope equation of the line. 

Mathematics
1 answer:
IgorLugansk [536]2 years ago
6 0

Answer:

A. y + 6= -2(x - 4)

Step-by-step explanation:

Let A(a , b) be a point of the line

and m be the slope.

The equation of the line in Point-slope form :

y - b = m (x - a).

…………………………

Given :

Slope = -2

A(4 , -6)

Then

Point-slope equation : y + 6= -2(x - 4)

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Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

  = 2.7393

Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
Which of the following pairs of fractions are equivalent?
AlekseyPX
D: 1/6 * 2 = 2/12

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3 0
3 years ago
Algebra problem, please show work!
Brrunno [24]

6x+1 / 2x +6 - 5/2

Factor 2 out of the denominator of the first fraction:

6x+1 / 2(x+3) - 5/2

Rewrite 5/2 to have a common denominator with the first fraction:

6x+1/2(x+3) - 5(x+3) / 2(x+3)

Simplify terms:

6x +1 - 5(x+3) / 2(x+3)

Use distributive property:

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Combine like terms for final answer:

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If sin(x)=m, with m&gt;0, find the value of sin(pie-x)
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Step-by-step explanation:

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3 years ago
The exterior angles of a triangle are 3y0, 4y0 and 5y0.
katovenus [111]

Answer:

i. 30 degrees

ii. 30 degrees

Step-by-step explanation:

The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.

3y+4y+5y=360

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The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!

3 0
3 years ago
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