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notsponge [240]
4 years ago
14

The figures below show a pattern.

Mathematics
1 answer:
Oxana [17]4 years ago
3 0

Answer:

a_{n} = 3n + 1

Step-by-step explanation:

Th number of squares in each figure is

4, 7, 10, ....

The terms have a common difference, that is

7 - 4 = 10 - 7 = 3

The number of squares in the n th figure is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 3, thus

a_{n} = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1

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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?
       You have a list of names and addresses, therefore you can send a questionnaire via mail.
    4) Form a sampling frame: what is the time or contact frame to get in touch with your customers? 
       You will send the questionnaires and you will wait two months for the answer.
    5) Define the analysis method: is yours a qualitative or quantitative research?
     In your case, you want a quantitative research and therefore a probabilistic sampling.

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
   = 0.013

Therefore, 
N = <span>0.013 </span>× 30000
   = 390

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
Find the central angle measure
Mariana [72]

Answer:

76

Step-by-step explanation

The angle across from 104 would be the same Leaving 152 left of 360 and 152 divided by 2 is 76

7 0
3 years ago
(01.05 MC)The total charge on 6 particles is −48 units. All the particles have the same charge. What is the charge on each parti
Elina [12.6K]

Answer: -9 units

Step-by-step explanation:

-9 x 4 = -36

so therefore -36 divided by 4 = -9

5 0
3 years ago
Need this ASAP!! Would help if you could answer as quick as possible :)
kirza4 [7]

Answer:

-32p +56

Step-by-step explanation:

distribute the 8 to everything in the parenthesis

6 0
3 years ago
Can the following angle measures form a triangle if Angle 1 measures 74.5 degrees, Angle 2 measures 87.1 degrees and Angle 3 mea
zzz [600]

Answer:

no

Step-by-step explanation:

sum of angles=74.5+87.1+23=184.6°≠180°

5 0
3 years ago
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