The required week that had greater variability in high temperature is week 2.
Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.
Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week 2 > MAD of week 1
Thus, the required week that had greater variability in high temperature is week 2.
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Answer:
mean 4.86
MAD = 1.91
Step-by-step explanation:
B. 720
C. 30
D. 132
Answer: (720) is the right answer
Step-by-step explanation:
f(x) = 2x2 – x + 1
f(x) = x2 + 2x – 1
f(x) = x2 – 2x + 1
we know that
The equation of the vertical parabola in vertex form is equal to
where
(h,k) is the vertex
The axis of symmetry is equal to the x-coordinate of the vertex
so
------> axis of symmetry of a vertical parabola
we will determine in each case the axis of symmetry to determine the solution
case A)
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
the axis of symmetry is
therefore
the function has an axis of symmetry at
case B)
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
the axis of symmetry is
therefore
the function does not have a symmetry axis in
case C)
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
the axis of symmetry is
therefore
the function does not have a symmetry axis in
case D)
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
the vertex is the point
the axis of symmetry is
therefore
the function does not have a symmetry axis in
the answer is
Answer:
25%
Step-by-step explanation:
Say we start from the beginning with $40. If the pants are discounted but we don't know the percent discount, then we need a variable, x:
40 - x% * 40 = 30
The total is 40. When we take a discount off of 40, we are taking a percent of 40 and subtracting that from 40. From the problem, this should be 30. Thus, the equation above.
Add x%*40 to both sides and subtract 30 from both sides:
x%*40 = 10
Divide by 40:
x% = 1/4 = 0.25
Multiply each side by 100:
x = 25
The answer is 25%.