3x2+3y2+2x-8=0<br><br> Find the center and radius

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

2 years ago

What is "shift y= 5x 3 units up"

lesya [120]

It's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.

y = 5x + 3

8 0

2 years ago

Read 2 more answers

An army contingent of 104 members is to march behind an army band of 96 members in a parade.

Trava [24]

You can dispose a number $x$ of elements in a matrix-like formation with $n\times m$ shape if and only if $n$ and $m$ both divide $x$ , and also $nm=x$ .

So, we need to find the greatest common divisor between $104$ and $96$ , so that we can use that divisor as the number of columns, and then.

To do so, we need to find the prime factorization of the two numbers:

$104 = 2^3\times 13$

$96 = 2^5 \times 3$

So, the two numbers share only one prime in their factorization, namely $2$ , but we can't take "too many" of them: $104$ has "three two's" inside, while $96$ has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include $3$ nor $13$ , because it's not a shared prime.

So, the greater number of columns is $2^3=8$ , which yield the following formations:

$104 \to 8\times 13$

$96 \to 8\times 12$

3 0

2 years ago

In the Venn diagram, the blue circle represents when p is true, and the orange represents when q is true. A conjunction is true

Radda [10]

Answer:

A conjunction is true in region

✔ B <--- Answer

A disjunction is true in region(s)

✔ A, B, and C <--- Answer

A disjunction is false in region(s)

✔ D <--- Answer

Step-by-step explanation:

I took the assaignment aswell

3 0

2 years ago

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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7

cricket20 [7]

Answer:

The price of a pint of veggies is $1.75

Step-by-step explanation:

* Lets change the story problem to equations and solve them to find

the answer

- Chen is bringing fruit and veggies to serve at an afternoon meeting

- He spends a total of $28.70 on 5 pints of cut veggies and 7 pints

of cut fruit

- The food cost is modeled by the equation 5 v + 7 f = 28.70, where

v represents the cost of one pint of cut veggies and f represents

the cost of one pint of cut fruit

∴ The first equation is 5 v + 7 f = 28.70 ⇒ (1)

- The cost of each pint of fruit is $2.85

∵ f represents the cost of one pint of cut fruit

∴ f = 2.85

- Substitute the value of f in equation (1) to find the value of v

∵ 5 v + 7 f = 28.70 ⇒ (1)

∵ f = 2.85

∴ 5 v + 7 (2.85) = 28.70

∴ 5 v + 19.95 = 28.70

- Subtract 19.95 from each side

∴ 5 v = 8.75

- Divide both sides by 5

∴ v = 1.75

∵ v represents the cost of one pint of cut veggies

∴ The price of a pint of veggies is $1.75

7 0

2 years ago

3x2+3y2+2x-8=0 Find the center and radius