For every 3,000 chocolate covered strawberries manufactured at a candy factory, about 450 are considered rotten before the time
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Answer:
1st, 4th and 6th statements are true.
Step-by-step explanation:
We have been given two dot-plots and we are asked to select all the true statements about given dot plots.
Let us write all the data points of both dot plots.
Data set 1:
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7.
Data set 2:
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4.
1. The mean of data set 1 is greater than the mean of data set 2.
Let us find mean of both data sets.
We can see that mean of data set 1 is greater than mean of data set 2, therefore, 1st statement is true.
2. The mean of data set 1 is equal to the mean of data set 2.
Since mean of data set 1 is greater than mean of data set 2, therefore, 2nd statement is false.
3. The median of data set 1 is greater than the median of data set 2.
Since data set 1 has 19 data points, so median of data set 1 will be value of 10th data set, that is 2.
Our data set 2 has 18 data points, so median of data set 2 will be the average of 9th and 10th data points.
Since median of data set 2 is also 2, therefore, 3rd statement is not true.
4. The median of data set 1 is equal to the median of data set 2.
Since both data set's median is 2, therefore, 4th statement is true.
5. The standard deviation of data set 1 is smaller than the standard deviation of data set 2.
Using online SD calculator we get SD of data set 1 is 1.422 and SD of data set 2 is 0.936. Since 1.422 is greater than 0.936, therefore, 5th statement is false.
6. The data sets have the same interquartile range.
Since both data set's IQR is 2, therefore, 6th statement is true.
a)The total inside length of the curved ends of the track will be 25.13 meters
b)The total distance around the inside of the track will be 275.13 meters
c)The area inside the track is 10050 square meters.
<h3>What is an area?</h3>The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.
a) what is the total inside length of the curved ends of the track?
The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.
So the length will be = π r + πr = 2 πr
= 2 x π x 4 = 25.13
b) what is the total distance around the inside of the track?
The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.
Total length = 125 + 125 + 25.13
= 275.13 meters
c) what is the area inside of the track?
The area will be equal to the area of the two semicircular tracks and the rectangular track.
Total Area = Area of semicircle + Area of semicircle + Area of rectangle
= ( π/2 ) r² + (π/2) r² + ( L x W )
= π r² + ( L x W)
= π ( 4 )² + ( 125 x 8 )
= 10050.26 square meters.
Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.
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Answer:
Step-by-step explanation:
The formula of a surface area of a ball (sphere):
R - radius
We have R = 15in. Substitute:
If you want to get an approximation, then: