*dot plot is shown in the attachment below
Answer:
Mean = 6.3
Median = 6
Step-by-step explanation:
Measures of centre, mean and median, can be calculated as follows:
First, bear in mind that each dot represents a value in the data set.
==>Mean:
Mean is the sum of all values in the data set divided by the number of data set we have.
The sum can be calculated as follows:
0 (1) = 0
4 (3) = 12
5(8) = 40
6(3) = 18
7(1) = 7
8(5) = 40
9(2) = 18
10 (3) = 30
Sum = 0+12+40+18+7+40+18+30 = 165
No of data set = 26
Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)
==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.
Thus, the 13th and 14th values are both 6.
Therefore, median = (6+6) ÷ 2 = 6
The equation for speed is s=d/t, s=276/6.5. Then, you divide 276 in 6.5: s is approximately 42 miles/hour. So, he drove 12 miles/hour faster getting there than coming back home.
Answer:
The length of the arc is 221π/18 ft or 38.55 ft
Step-by-step explanation:
Given
Subtended angle, θ = 17π/18
Radius, r = 13 ft
Required
Length of the arc.
When an angle is given in radians, the length of the arc is calculated using the formula below
Length = rθ
By substituting
Length = 13 * 17π/18
Length = 221π/18
The answer can be left in this form.
But for simplification purpose, I'll solve further.
Taking π as 3.14
Length = 221 * 3.14/18
Length = 693.94/18
Length = 38.552222
Length = 38.55 ft (Approximated).
Hence, the length of the arc is 221π/18 ft or 38.55 ft
100-20x
100 is the amount of money you have
20 is your budget
x is number of weeks