using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860/15?
1 answer:
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Answer:
(a) The median of both plots is same, 120 pounds is the median weight of Anatolian Shepherd and the Black Russian Terrier breed.
The range of both plots is also same that is 75 pounds.
The box plot of Anatolian Shepherd is skewed towards left therefore, it is considered to be positively distributed.
The box plot of Black Russian Terrier is skewed towards right therefore, it is considered to be negatively
(b) Any data point which is greater than 155 or smaller than 80 will be considered an outlier.
Step-by-step explanation:
A box plot is a graph which shows five statistical characteristics of a data set.
1. Maximum value
2. Minimum value
3. Median
4. Upper Interquartile
5. Lower interquartile
(a) Compare the distributions of weights for the two dog breeds
Please refer to the attached diagram of the question.
The median of both plots is same, 120 pounds is the median weight of Anatolian Shepherd and the Black Russian Terrier breed.
The range of Anatolian Shepherd is,
Range = Maximum value - Minimum value
Range = 175 - 100 = 75 pounds
The range of Black Russian Terrier is,
Range = Maximum value - Minimum value
Range = 155 - 80 = 75 pounds
Therefore, the range of both plots is also same that is 75 pounds.
A box-plot is considered to be normally distributed when the median is at the center of upper quartile and lower quartile.
The box plot of Anatolian Shepherd is skewed towards left therefore, it is considered to be positively distributed.
The box plot of Black Russian Terrier is skewed towards right therefore, it is considered to be negatively distributed.
(b) What weights would a Black Russian Terrier have to be to be considered an outlier?
An outlier is a data point in the data set that is very different from the other data points.
In this case, the maximum and minimum values in the Black Russian Terrier box-plot are
Maximum = 155
Minimum = 80
Therefore, any data point which is greater than 155 or smaller than 80 will be considered an outlier.
Answer:
A cone with base radius of 17 in
Step-by-step explanation:
Given
Triangle ABC
Where
AB = BC = 24in
D = Midpoint of AC
Required
Which best describes the resulting three-dimensional figure?
First, the length of the third side of the triangle has to be calculated
The sides of triangle ABC are AB, AC and BC
Given that the perimeter = 82 in
AB + AC + BC = 82
Recall that AB = BC = 24in; The equation becomes
Collect like terms
Given that, the triangle is rotated at D, the midpoint of AC
The length of the midpoint has to be calculated
At this point, we can dismiss options C and D.
This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.
So, we have option A and B to select from.
When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.
This implies that, a cone with base radius D is generated.
Recall that D = 17.
Hence, <em>A cone with base radius of 17 in</em>
Answer:
583.33 cm³
Step-by-step explanation:
From the image attached, the total height (H) of the pyramid is 30 cm, the height of the frustrum (h) = 15 cm, the Frustrum base = lower base = B = 10 cm . To find the length of the upper base (b), we use:
The volume of the frustrum is given by:
