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elena-s [515]
3 years ago
9

45 POINTS!!!!!!!!!!

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
Y-3 is the correct answer
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The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

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
A driver averaged 53 miles per hour and took 15 hours to travel between two cities. what is the distance between the two​ cities
Aneli [31]

Answer: 795 miles

Step-by-step explanation:

D = st

D = 53 m/h * 15 h

D = 795 miles

5 0
3 years ago
Which of the following is the name of the point where the x-axis and y-axis intersect?​
tester [92]

Answer:

The place where the x and y axis meet, is called the point of origin

Step-by-step explanation:

4 0
3 years ago
What are the coordinates of the centroid of a triangle with vertices D(0,1),E(2,6), and F(7,2) enter your answer in the boxes
Daniel [21]

The coordinates of centroid of given triangle are: (3,3)

Step-by-step explanation:

Given

D(0,1) = (x1,y1)

E(2,6) = (x2,y2)

F(7,2) = (x3,y3)

The centroid of a triangle when the vertices are known is given by:

C = (\frac{x_1+x_2+x_3}{3} , \frac{y_1+y_2+y_3}{3})

Putting the values

C = (\frac{0+2+7}{3} , \frac{1+6+2}{3})\\C = (\frac{9}{3} , \frac{9}{3})\\= (3,3)

Hence,

The coordinates of centroid of given triangle are: (3,3)

Keywords: Triangle, centroid

Learn more about triangles at:

  • brainly.com/question/10717746
  • brainly.com/question/10736268

#LearnwithBrainly

7 0
3 years ago
ANSWER FOR BRAINLIEST AND 50 POINTS:
Elan Coil [88]

Answer:

A.

mean=82.286

Rounded to the tenths place would be= 82.3

Step-by-step explanation:

The Mean is found by adding all of the values together

Then dividing it by how many values there are.

In this instance, all the values added up equal 576

576 now will be divided by how many temperatures are recorded.

576/7=82.286

82.286 Rounded to nearest tenth=82.3

4 0
3 years ago
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