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Anit [1.1K]
2 years ago
9

The radius and circumference of several objects were measured.

Mathematics
1 answer:
Over [174]2 years ago
3 0

A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.

<h3>What is a positive correlation?</h3>

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.

Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.

In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.

Read more on positive correlation here: brainly.com/question/10644261

#SPJ1

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Consider each of the following relationships. Which school shows the greatest rate of change between male and female students?
ratelena [41]

Answer:

The school C shows the greatest rate of change between male and female students

Step-by-step explanation:

Let

x -----> the number of female students

y ----> the number of male students

we know that

The ratio of male students to female students is

\frac{y}{x}

we have

<em>School A</em>

\frac{y}{x}=\frac{4}{1}=4

<em>School B</em>

\frac{y}{x}=\frac{4}{3}=1.33 ----> the slope of the linear equation

<em>School C</em>

\frac{y}{x}=\frac{1,260}{280}=4.5

so

4.5 > 4 > 1.33

therefore

The school C shows the greatest rate of change between male and female students

7 0
3 years ago
Rewrite using a single exponent.<br> 53.53
Helga [31]

Answer:

{5}^{6} \:  \: or \:  \:  {25}^{3}  = 15625

Step-by-step explanation:

{5}^{3}  \times  {5}^{3}

Here we can solve this in 2 ways ,

Method 1 :

{5}^{3}  \times  {5}^{3}

Here the bases are equal. So,

=  >   {5}^{3 + 3}  =  {5}^{6}  = 15625

Method 2 :

{5}^{3}  \times {5}^{3}

Here the exponents are same. So,

=  >  {(5 \times 5)}^{3}  =  {25}^{3}  = 15625

4 0
3 years ago
A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to anot
Rina8888 [55]

The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units

<h3>Properties of a square.</h3>
  • All the sides are equal.
  • Opposite sides are parallel to each other.
  • The diagonal intersects at right angle.

Using Pythagoras theorem the value of x can be found as follows:

c² = a² + b²

where

  • c = hypotenuse
  • a and b are other legs

Therefore,

8² = x² + x²

64 = 2x²

x² = 64 / 2

x = √32

x = 5.65685424949

x = 5.7 units

learn more on square here:brainly.com/question/12338379

#SPJ4

6 0
2 years ago
Read 2 more answers
What fraction lies between 2/3 and 6/7 on the number line?
irinina [24]

Answer:

  D.  5/6

Step-by-step explanation:

The given fractions have decimal values of ...

  2/3 ≈ 0.67

  6/7 ≈ 0.86

The answer choices are approximately 0.60, 0.50, 0.43, and 0.83.

The last choice (5/6) is between 2/3 and 6/7.

Using a common denominator of 42, these three fractions are ...

  2/3 = 28/42

  5/6 = 35/42

  6/7 = 36/42

The fraction 5/6 lies between 2/3 and 6/7.

_____

It is useful to memorize the decimal equivalents of fractions with denominators of 10 or less. There are some patterns involved that make it easier.

6 0
3 years ago
Negative fractions on the number line
goblinko [34]
The answer is D
Let me know if it’s right!
8 0
2 years ago
Read 2 more answers
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