The Rome data center is best described by the mean. The New York data center is best described by the median. The third option C is correct.
<h3>The Mean and Median:</h3>
The mean of a data set is the average of all the terms in the data set. The median of a data set is the value of the midpoint term in the frequency distribution.
From the given information, the table can be better expressed as:
High Low Q1 Q3 IQR Median Mean σ
Rome 18 1 3 7 4 6.5 6.4 4.3
NY 14 1 4.5 8.5 4 5.5 6.1 3.2
- From the data sets in the table, the distribution for Rome is not largely diverse, and there isn't much departure from the mean value. It indicates that in the data set of Rome families, no outliers have occurred.
- In New York, the data indicate a distinct outlier for New York families in Q3. This is due to the fact that the gap is so large, the mean may not be a good choice for determining the measure of the central tendency.
Therefore, we can conclude that, the Rome data center is best described by the mean and the median will be utilized to determine the central tendency in New York.
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Answer:
x intercept is x=3
y intercept is y=-3
Step-by-step explanation:
We can write this equation in a simpler way to find the values needed. Lets do it. Take:
x-y=3
And sum y in both sides, as we know the equality will maintain:
x-y+y=3+y
x = 3+ y
Now subtract 3 in both sides:
x-3 = y+3-3
x-3=y
So, we can rewrite our equation as y=x-3
The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:
x-3 = 0
If we sum 3 in both sides:
x-3+3=3
x=3
So, x=3 is x intercept
For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:
0-3=y
y=-3
Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
The answer to this question is 8 that's the answrb
To solve the problem we will put the values given to us in the formula of volume of a prism.
<h2>Prism</h2>
A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.
The height of the prism is 
.
<h2>Explanation</h2>
Given to us
- volume of a rectangular prism = (x3 – 3x2 5x – 3),
- area of its base = (x2 – 2)
- the volume of a rectangular prism is the product of its base area and height,
As given to us,
Substituting the values we get,
Hence, the height of the prism is .
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