Answer:
--- Standard deviation
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Explain how the standard deviation is calculated.
<u>Start by calculating the mean</u>
To do this, we divide the sum of the products of grade and number of students by the total number of students;
i.e.
So, we have:
Next, calculate the variance using the following formula:
i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset
So, we have:
Lastly, take the square root of the variance to get the standard deviation
--- approximated
<em>Hence, the standard deviation is approximately 11.28</em>
Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.
Answer:
The table representing the number of students by which mode of transport they travel is given as:
Walk or bike Bus Car Row Total
Below age 15 87 60 18 165
Age 15 and above 65 50 80 195
Column Total 152 110 98 360
We know that a relative frequency of an event is the ratio of frequency to the total number of trials.
i..e we divide each frequencies by 360 to obtain a two-way relative frequency.
Hence,the table is given as:
Walk or bike Bus Car Row Total
Below age 15 0.24 0.17 0.05 0.46
Age 15 and above 0.18 0.14 0.22 0.54
Column Total 0.42 0.31 0.27 1
Answer:
1) Bigger sector = 168.8pi
1) Smaller sector = 56.3pi
2) Bigger sector = 529.9
3) Smaller sector = 176.6
Step-by-step explanation:
1) Bigger sector = 
×pi×15×15
= 168.75pi
1) Smaller sector = 
×pi×15×15
= 
×pi×15×15
= 56.25pi
2) Bigger sector = ×3.14×15×15
= 529.875
2) Smaller sector = ×3.14×15×15
= ×3.14×15×15
= 176.625
Answer:
Step-by-step explanation:
a)
d=0.68t + 1.5 if t time is 3 hrs
d=0.68(3) + 1.5
= 2.04 + 1.5
d= 3.54 ft
b)
d=0.68t + 1.5 if d depth is 4 ft solve for t
d - 1.5 = 0.68t
(d - 1.5) / 0.68 = t
(4 - 1.5) / 0.68 = t
t = 2.5/0.68
t = 3.68 ft
c) I needed to bury my moth..... cat.
Answer:
Improper fraction = 14/5
Step-by-step explanation:
You see on the fraction strip there Is 14 out of the 15 parts colored in. So out of that answer you can tell the improper fraction would be 14/5 and the mixed number would be 2 4/5.
Hope this Helps!
