Answer:
Step-by-step explanation:
Given
See attachment for graph
Required
The domain of the graph
To do this, we simply write out the range of value of the x-coordinate.
From the attached graph, the x values are:
![x = [0,40]](https://tex.z-dn.net/?f=x%20%3D%20%5B0%2C40%5D)
i.e. from 0 to 40 (both inclusive)
So, the domain is:
Answer:
The outcome table was not given. But find below how to find the experimental probability
Step-by-step explanation:
Experimental Probability = number of times you rolled a three / the number of times you rolled the die itself.
Fruit
Awesome
Intelligent
Eraser
Sharpener
Textbook
Trophy
Beautiful
Population = 135 students
Mean score = 72.3
Standard deviation of the scores = 6.5
Part (a): Students from 2SD and 3SD above the mean
2SD below and above the mean includes 95% of the population while 3SD includes 99.7% of the population.
95% of population = 0.95*135 ≈ 129 students
99.7% of population = 0.997*135 ≈ 135 students
Therefore, number of students from 2SD to 3SD above and below the bean = 135 - 129 = 6 students.
In this regard, Students between 2SD and 3SD above the mean = 6/2 = 3 students
Part (b): Students who scored between 65.8 and 72.3
The first step is to calculate Z values
That is,
Z = (mean-X)/SD
Z at 65.8 = (72.3-65.8)/6.5 = 1
Z at 72.3 = (72.3-72.3)/6.5 = 0
Second step is to find the percentages at the Z values from Z table.
That is,
Percentage of population at Z(65.8) = 0.8413 = 84.13%
Percentage of population at (Z(72.3) = 0.5 = 50%
Third step is to calculate number of students at each percentage.
That is,
At 84.13%, number of students = 0.8413*135 ≈ 114
At 50%, number of students = 0.5*135 ≈ 68
Therefore, students who scored between 65.8 and 72.3 = 114-68 = 46 students
Answer: Assuming the unit is dollars, the answer would be $5,010.
Explanation:
Step 1: 8000-300 is 7700.
Step 2: 7700-290 is 7410
Step 3: 7410-400 is 7010
Step 4: 7010-2000 is 5010
So, the answer is Anna has $5,010 dollars left after giving Jim $300, buying shoes for $290, a suit for $400 and spending $2,000 dollars on a new phone.
