Decide whether the set A of positive integers divisible by 17 and B the set of positive integers

(12 - 9) / 12 = (40 - x) / 40
3/12 = (40 - x) / 40
40(1/4) = 40 - x
10 = 40 - x
10 - 40 = -x
-30 = -x
30 = x <=== percentage decrease from 40 to 30

Response:

B. Students in Class B have a lower mean study time compared to those in Class A.

Detailed explanation:

To begin, we will calculate both the mean and median for each class.

Class A: 2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5

sorted data: 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8

sum: 96

count: 20

Mean: 96 / 20 = 4.8

Median: In the sorted list, the 10th value is the first 5, so median = 5

Class B: 3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6

Sorted data list: 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7

Sum: 80

Count: 20

Mean: 80 / 20 = 4

Median: In the sorted list, the 10th value is the first 4, so median = 4

Consequently, it is evident that Class B's average study time is less than that of Class A. Answer B.

Response:

6.48

Detailed explanation:

The calculation required to determine the number of tiles for the border is presented below:-

Here,

The length measures 2.02 m

And the width is 1.22

Substituting these dimensions into the formula provided above

Consequently, the total number of tiles necessary to create the border is

= 6.48

Hence, to find the tiles required for the border, we utilized the aforementioned formula.

The blue line depicted in the attached image illustrates the reflection of f(x) across the x-axis. To elucidate, the function f(x) is an exponential function displaying the characteristics: the y-intercept calculates as f(0) = 6(0.5)⁰ = 6; the multiplicative rate of change is 0.5, signifying a decay function (decreasing); and the horizontal asymptote exists at y = 0, defining the limit of f(x) as x approaches positive infinity. The reflection across the x-axis for f(x) results in a function denoted as g(x) = -f(x), leading to g(x) reflecting the features discussed including growth into the third quadrant while never intersecting the x-axis. Therefore, using these insights, it is feasible to sketch the corresponding graph across the x-axis.

Let the number be x. The equation x/5 - 17 = 48 leads to (x - 85)/5 = 48. Multiplying gives x - 85 = 240, so x = 240 + 85, resulting in x = 325.