Mrs. Nally's swimming pool is 10 feet by 6 feet. She paves the area around it with a sidewalk x feet wide, using 80 square feet of a new type of non-slip concrete. How wide is the sidewalk? A. The sidewalk is 20 feet wide. B. The sidewalk is 4 feet wide. C. The sidewalk is 10 feet wide. D. The sidewalk is 2 feet wide.

The sidewalk is 2 feet wide

Step-by-step explanation:

The area of the sidewalk is given as 80 square feet

The length and width of pool

including side walks will be;

10 + 2x and 6 + 2x

To get the area of the side walk

That will be area of total minus area of the pool

That will be ;

(10 + 2x)(6 + 2x) - 10(6) = 80

60 + 12x + 20x + 4x^2 - 60 = 80

4x^2 + 32x -80 = 0

x^2 + 8x -20

x^2 + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x-2)(x + 10) = 0

x = 2 or -10

since width cannot be negative;

The sidewalk is 2 feet wide

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.