The two rectangles are similar and the scale factor is 3:4
To find the area of a <em>rectangle</em>, we multiply its length by its width. A square is a special case of a rectangle where all of the sides have the same length, so what we're really doing is taking the side length and multiplying it by itself. Fittingly, we call the process of multiplying a number by itself <em>squaring </em>that number. For example, "3 squared," - written as 3² - gives us 3 x 3 = 9, 4² gives us 4 x 4 = 16, and hopefully you get the idea from there.
Here, a square with a side length of 6.25 feet would have any area of (6.25)² <em>square feet</em> (because area takes up <em>space, </em>we can't measure it with length alone - we need to use something else that takes up space, and squares are the simplest type of shape for the job).
Doing the calculation, we find that this is (6.25)(6.25) = 39.025 square feet.
Given :
The volume of a cube is related to the area of a face by the formula 
.
To Find :
The volume of a cube whose face has an area of 100 cm.
Solution :
Area is :
A = 100 cm.
Putting value of A in given equation of volume.
We get :
Therefore, volume of cube is 10000 cm².
Hence, this is the required solution.
Answer:
B. No solutions
Step-by-step explanation:
y= -3x + 9
3y = -9x + 9
Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.
y = -3x + 9
y = -3x + 3
Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.
Answer: No solutions
Answer:
The correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The types of correlation coefficient are:
- +1 (-1) : Perfect positive (negative) correlation
- 0 to 0.30(-0.30) : Weak positive (negative) correlation
- 0.30(-0.30) to 0.70(-0.70) : Moderate positive (negative) correlation
- 0.70(-0.70) to 1 (-1) : Strong positive (negative) correlation
The correlation coefficient value between the hour of the day and the speed over the limit at which the motorist is ticketed is:
<em>r</em> = 0.12.
The value of <em>r</em> lies between:
0 < 0.12 < 0.30
Thus, the correlation between hour of the day and the speed over the limit at which the motorist is ticketed is weak positive correlation.
