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3 years ago

Which statement best describes the association between variable X and variable Y?

Mathematics

2 answers:

Nata [24]3 years ago

5 0

The answer is A <span>perfect negative association</span>

Nat2105 [25]3 years ago

5 0

Answer:

Option A. perfect negative association.

Step-by-step explanation:

We take two points lying on the line representing the best relationship between variables X and Y.

Points are (1, 9) and (2, 8), so the slope will be = $\frac{y-y'}{x-x'}=\frac{9-8}{1-2}=(-1)$

Slope of (-1) shows the negative relationship between X and Y which may be represented by Y = (- X), equation of a line.

Therefore, association between variables X and Y can be best described as Option A. perfect negative association

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A boat travels 12 Mph in still water. It can travel 18 miles upstream in the same time that it can travel 24 miles downstream. W

quester [9]

Answer:

The current of the water is 1.714 mph.

Step-by-step explanation:

Let the boat in t hours can travel 18 miles upstream, and 24 miles downstream.

Therefore, if the speed of the boat in still water is 12 mph and that of water is x mph , then we can write

$\frac{18}{t} = 12 - x$ ........ (1) and

$\frac{24}{t} = 12 + x$ ............ (2)

Now, adding those two equations (1) and (2) we get,

$\frac{18}{t} + \frac{24}{t} = 24$

⇒ t = 1.75 hours.

Now, from equation (1) we get

$\frac{18}{1.75} = 12 - x$

⇒ x = 1.714 mph

Therefore, the current of the water is 1.714 mph. (Answer)

4 0

3 years ago

The monthly demand for a company’s sports caps varies directly as the amount spent on advertising and inversely as the square of

Amanda [17]

Answer: $\$16.432$

Step-by-step explanation:

Let be "y" the monthly demand for the company’s sports caps, "x" the amount in dollar spent on advertising and "z"the price ind dollars per cap.

The model for this situation is:

$y=\frac{kx}{z^2}$

Where "k" is the constant of proportionality.

Since $y=300$ when $z=15$ and $x=2,500$ , we can substitute values into $y=\frac{kx}{z^2}$ and solve for "k" to finds its value:

$300=\frac{k(2,500)}{15^2}\\\\\frac{(300)(15^2)}{2,500}=k\\\\k=27$

Then, in order to calculate what price yields a demand of 300 caps when advertising is increased to $3,000, we must substitute the following values into $y=\frac{kx}{z^2}$ :

$x=3,000\\\\y=300\\\\k=27$

Then:

$300=\frac{(27)(3,000)}{z^2}$

Solving for "z" we get:

$z^2=\frac{(27)(3,000)}{300}\\\\z=\sqrt{\frac{(27)(3,000)}{300}}\\\\z=16.432$

6 0

4 years ago

find the greatest three digit prime number where each of the digits is prime and the sum of all three digits is also prime

sasho [114]

Answer:

The number is: 775

Step-by-step explanation:

The prime numbers from 1-9 are: 2,3,5,7

To form the greatest three digit prime number where each of the digits is prime and the sum of all three digits is also prime:

we have to start the number from 7 as the greatest prime number is 7.

the next digit has to be also 7 so that the number remains bigger.

if for the ones digit we take prime number seven than the sum of all the three digits will not be prime ( as 7+7+&=21 which is not a prime number).

so we take the digit 5 and the sum will be 19(7+7+5) which is a prime

number.

Hence the number is 775.

3 0

3 years ago

Read 2 more answers

PLEASE HELP IDHD >~<

kupik [55]

Answer:

multiply the height and width of each side to get the area

8 0

3 years ago

An amusement park wants to install a zipline that is 500 feet long and slopes

Mila [183]

Answer:

Check attachment for solution

Step-by-step explanation:

8 0

4 years ago