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bixtya [17]
4 years ago
14

Compare and contrast the perpendicular bisectors, medians, and altitudes of a triangle. How are they alike? How are they differe

nt?
Mathematics
1 answer:
NISA [10]4 years ago
6 0
<span>A perpendicular bisector is a line that intersects a given segment at a 90° angle, and passes through the given segment's midpoint.</span>

<span>A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
</span>
<span>An altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the base.</span>
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A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio
Reptile [31]

Answer:

The probability is P(|p-\^{p}| >  0.03)  =   0.0040

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.07

   The mean of the sampling distribution is   \mu_p =  0.07

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

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

=>    \sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }    

=>    \sigma_p  =  0.010416    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )

Now  add p  to  both side of the inequality

=>   P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )

Now  converting the probabilities to their respective standardized score

=> P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )

=> P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )

=>   P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)]

From the z-table  

       P(Z \le 2.88)  =  0.9980

and

       P(Z \le -2.88)  = 0.0020

So

     P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020]

=>   P(|p-\^{p}| >  0.03)  =   0.0040

     

7 0
3 years ago
Find the gradient of the line segment between the points (-3,2) and (-2,5).<br><br> Thank guys X
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Walk through writing a general formula for the midpoint between two points. ... I believe you would simply find the differences in x and y from the midpoint to the ... if point A is at (3,2) and the midpoint is at (-2,5), i would move 5 left and 3 up from A ... do u guys think this is easy? is this the easiest thing in geometry, im trying to ...

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mike earns $6.50 per hour plus 4% of his sales. enter an a equation ,e, when he x works and has a total of y sales in dollars
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The problem can be written as

e=6.50x+0.04y
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Solve for the length of X
liubo4ka [24]

Answer:

46

Step-by-step explanation:

89

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4 years ago
How
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Answer:

  • a) 14.5 minutes longer

Step-by-step explanation:

  • Average time for New York = 40 minutes
  • Average time for United States = 25.5 minutes

<u>The difference:</u>

  • 40 - 25.5 = 14.5 minutes

<u>Correct choice:</u>

  • a) 14.5 minutes longer
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