Answer:
Step-by-step explanation:
We can model this function using the equation of a line:
Where a is the slope of the line and b is the y-intercept.
To find the values of a and b, we can use the two points given:
(-9, -3):
(-12, 4):
If we subtract the second equation from the first one, we have:
Then, finding the value of b, we have:
So the equation is:
I found a similar problem with its corresponding figure. It shows a recycling bin whose length is 1/2 meters, width is 1/2 meters, and height is 1/2 meters.
Based on the measure, the bin is a cube. Its volume formula is s³.
V = (1/2 m)³
V = 1/2 m * 1/2 m * 1/2 m
V = 1/8 m³
V = 0.5 m * 0.5m * 0.5m = 0.125 m³
0.125m³ = 1/8 m³
The volume of the paper recycling bin is 1/8 m³ or 0.125m³
Answer:
2*10 ^6 shoes in 10 years
Step-by-step explanation:
1.81 × 10^4 pairs of shoes each month
1.2 × 10^2 months in 10 years
Multiply these together to determine the number of shoes in 10 years
1.81 × 10^4 * 1.2 × 10^2
We want to estimate so 1.81 is approximately 2 and 1.2 is approximately 1
2 × 10^4 * 1 × 10^2
Multiply the numbers
2*1 = 2
Add the exponent
10 ^ ( 4+2)
10 ^6
Put this back together
2*10 ^6
Answer:
0; 10; 20
Step-by-step explanation:
x is the independent variable
y is the dependent variable
y is dependent on x
a) For what value of the independent variable will the value of the function be equal to −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Therefore, if the independent variable is 0, the value of the function will be -6.
b) For what value of the independent variable will the value of the function be equal to −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Therefore, if the independent variable is 10, the value of the function will be -3.
c) For what value of the independent variable will the value of the function be equal to 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, if the independent variable is 20, the value of the function will be 0.
Answer:
C
Step-by-step explanation:
Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!
For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:
1. minimum
2. 1st quartile (Q1)
3. median
4. 3rd quartile (Q3)
5. Maximum
And outliers, if any!
Thus, dot plot cannot directly generate box plot
For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.
For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.
