Answer:
The correct option is;
After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt
Step-by-step explanation:
Here we have for the milk chocolate
Min = 29 s
Lower quartile Q₁ = 44 s
Median = 64 s
Upper quartile Q₂ = 93 s
Max = 129 s
For the dark chocolate
Min = 210 s
Lower quartile Q₁ = 237 s
Median = 259 s
Upper quartile Q₂ = 295 s
Max = 320 s
As seen from the values of the box plot, after the median time of 64 seconds which represents half of the test results of the milk chocolate about half of the brands of milk chocolate are likely to melt, while the dark brands only start to melt after 210 seconds.
Therefore the correct option is
After 64 seconds, ABOUT HALF of the brands of milk chocolate ARE LIKELY to melt, and NONE of the brands of dark chocolate ARE LIKELY to melt.
Solution: We have to find the Frequency and Relative frequency of the given data:
Frequency is the number of times a number occurs.
Relative Frequency is the number of times a number occurs divided by the total number of items.
Therefore, the frequency and relative frequency are calculated as below:
Number Frequency Relative Frequency
20 1 
21 4 
22 2 
23 4
24 3 
25 2 
26 3 
27 5 
28 3 
29 4 
Total 31
Y² + 4y + 4 = 7
- 7 - 7
y² + 4y - 3 = 0
y = -(4) ± √((4)² - 4(1)(-3))
2(1)
y = -4 ± √(16 + 12)
2
y = -4 ± √(28)
2
y = -4 ± 2√(7)
2
y = -2 ± √(7)
y = -2 + √(7) U y = -2 - √(7)
Option A: The rate of change of Function R is less than the rate of change of Function S because
is true.
Explanation:
The function 
The equation for function R can be determined using the slope formula,

The y-intercept is the value of y, when x = 0.
Thus, the y-intercept is
.
To determine the slope, let us substitute the coordinates
and
.
Because, the points on the straight line have the same slope.
Thus, we have,

Thus,
and 
Let us substitute these values in the formula
, we get,

Hence, the equation of R is 
The equation of S is 
Comparing the slope of these two equations, we have,

This means that the slope of R is less than the slope of S.
Hence, The rate of change of Function R is less than the rate of change of Function S because 
Thus, Option A is true.
Answer:
10.58
Step-by-step explanation: