This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:
<span>The 4 should be multiplied by each term found inside the parentheses.
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Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).
First, we need to determine the dimensions of the rectangle, specifically its length and width.
We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4
Consequently, Length becomes 2x, leading to 2(4)=8.
Therefore, the length is 8 inches and the width is 4 inches.
Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.
Area=(8 in)(4 in)=32 in²
Conclusion: The area of Marshall's rectangular poster is 32 in².
D). 9 ft is indeed the correct answer. The height of the ball at a horizontal distance of 10 feet is 9 ft.
Given:
Total girls in class = 16.
Total boys in class = 14.
To determine:
The various combinations for selecting one girl and one boy.
Solution:
We have,
Total girls = 16
Total boys = 14
Thus,
The total combinations for selecting one girl from 16 girls = 16.
The total combinations for selecting one boy from 14 boys = 14.
Now, the various ways to select one girl and one boy amount to:
Therefore, the total number of combinations is 224.
Answer:
A histogram will be utilized to illustrate the right wrist size of the random sample of newborn infants.
Step-by-step explanation:
A histogram serves as a visual representation of the frequency distribution present within the sample. Given that wrist circumference can take on positive real number values, a histogram with defined class boundaries can be constructed to display the overall distribution of wrist sizes in the graph.
Furthermore, as this distribution is continuous in nature, a histogram proves to be a fitting choice compared to either a bar graph or a stem-and-leaf plot.
