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ra1l [238]
3 years ago
14

point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). what is the point of B?

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

  B = (7, 2)

Step-by-step explanation:

B = 2M -A

B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)

B = (7, 2)

_____

The expression for the other end point, B, comes from the equation for the midpoint.

  M = (A +B)/2

  2M = A + B . . . . . multiply by 2

  2M -A = B . . . . . . subtract A to get an expression for B

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The distribution of the amount of money spent by first-time gamblers at a major casino in las vegas is approximately normal in s
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Solution: We are given:

\mu=600, \sigma =120

We need to find the z value corresponding to probability 0.84, in order to find the how much money almost 84% of gamblers spent at casino.

Using the standard normal table, we have:

z(0.85) = 0.9945

Now we will use the z score formula to find the required amount:

z=\frac{x-\mu}{\sigma}

0.9945=\frac{x-600}{120}

0.9945 \times 120 = x - 600

119.34 = x - 600

x = 600 + 119.34        

x = 719.34

x = 720 approximately

Therefore, almost 84% of gamblers spent more than $720 amount of money at this casino.

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3 years ago
What did the lady say about her brain surgeon
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3 years ago
what is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 48 degrees?
Vladimir79 [104]
180-2\cdot48=180-96=84
7 0
3 years ago
An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere
snow_lady [41]
A) In order to create a sampling plan, you need to follow the following 5 steps:
    1) Define the sample population: who are the customers you want to contact?
       The costumers who bought a new car on a certain year.
    2) Define the size of population: how many customers are you going to contact?
       Of the 30000 customers who bought a car, you want to contact 1000 customers.
    3) Define the contact options: how are you going to contact the customers?
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    4) Form a sampling frame: what is the time or contact frame to get in touch with your customers? 
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    5) Define the analysis method: is yours a qualitative or quantitative research?
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B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.

C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
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Therefore, 
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Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.
         
4 0
3 years ago
Write the equation 7x + 8y =4 in the form y = mx + b. (2 points)
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Answer:

it's your first answer of

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