Solve the system of equations using the linear combination method.
1 answer:
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Answer:
The correct option is Mean and standard deviation.
Step-by-step explanation:
The data set provided, arranged in ascending order is:
S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}
Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When she returned, they found out she actually has 9 siblings.
So, the new data set is:
X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}
The mean of a data set is the average value representing the entire data.
The median is the middle value of the data set.
The inter-quartile range is the difference between the first and the third quartile.
The standard deviation is the value that represents how dispersed the data values are.
From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.
So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.
Thus, the correct option is Mean and standard deviation.
The volume of a cone varies jointly with the area of the base and the height of the cone.
where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is
Now we use the second set of info, the height and the volume, and we find the area of the base.
Answer: the area of the base is 31 cm^2
where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is
Now we use the second set of info, the height and the volume, and we find the area of the base.
Answer: the area of the base is 31 cm^2