Answer:
3x + 10cm
Step-by-step explanation:
This is calculated as:
Length of Tom's pencil - Length is Ellen's pencil
Length of Tom's pencil: 5x+25cm long.
Length of Ellen's pencil : 2x+15cm long.
(5x + 25)cm - (2x + 15)cm
5x + 25 - 2x - 15
5x - 2x + 25 - 15
3x + 10 cm
Therefore, Tom's pencil is 3x + 10cm longer is than Ellen's.
Answer:
1. y=x
2. y=x^3
3. y=x^2
Step-by-step explanation:
The parent function is any one of the 12 basic functions before transformations.
The 12 basic functions can be found here: http://www.learntutoring.com/LTS_References/Math/Precalculus/12%20Basic%20Functions.pdf
To find the mean of a dot plot, add up all of the data and divide by how many numbers there are.
In this case, the data added up is 4 + (5 x 4) + (6 x 3) + (7 x 2) + 10
4 + (5 x 4) + (6 x 3) + (7 x 2) + 10 = 66
With this information, we can now find the mean.
66/11=6
Therefore, the mean is 6. Hope this helps! Feel free to ask any questions.
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
For example: if you chose to invite 10 people the skating rink would cost a total of $50 including the room fee
If you invite 10 people to the bowling alley you would spend $65 Including the room
The answer would be to choose the skating rink
