Answer: A solid ring
Step-by-step explanation:
From the given diagram, if the circle revolves about the vertical dashed line.
We can see that there is some distance between the circle and the vertical line, which is represented by horizontal dashed line.
So, when it revolves about the vertical dashed line, it will form a torus (donut shape).
A torus is nothing but the solid ring .
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:
(7, −6)
Determine the value of k such that the points whose coordinates are given lie on the same line.
(k, 0), (0, −1), (10, −11)
Find the slope of the line containing the given points.
P1(5, −9), P2(1, 7)
Find the equation of the line that passes through the midpoint of the line segment between
P1(4, 1) and P2(−2, 3) and has slope of 3.
Let y be the dependent variable and let x be the independent variable.
Find the equation of the line that contains the given point and has the given slope.
P(0, 6), m = 1
Suppose a ball is being twirled at the end of a string and the center of rotation is the origin of a coordinate system. If the string breaks, the initial path of the ball is on a line that is perpendicular to the radius of the circle. Suppose the string breaks when the ball is at the point whose coordinates are P(3, 9). Find the equation of the line on which the initial path lies
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $331. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.
Answer:
1) 7 2) (-1,0) 3) m=-4 4) y=3x-4 5) y=x+6 6)
g(x)=-1/3x+10 7) y= $0.36
Step-by-step explanation:
These questions are all about Cartesian Geometry.
1) The Distance from point (7,-6) to vertical axis (0,-6) is measured with a straight line, between point (7,-6) and nearer point (0,-6)
d=|7-0|=7
2) To determine the value of k, let's determine the function with the two known points: (0, −1), (10, −11).
So (k,0)=(-1,0)
3) To find the slope of the line, we must apply that formula used above.
4) To find the equation of the line which the midpoint (2,2) since Midpoint is given by
And the slope is 3, then m=3. Notice the formula is the same to calculate the slope, but we will only pick one point. Since (2,2) ∈ to the function let's use this point, as initial value (x0,y,0)
5) Similarly to the previous one:
6) A ball being twirled. The center of the rotation is the origin of Coordinate System (0,0) when the string breaks at point (3,9)
If the line was straight from the origin to point (3,9)
But the point (3,9) ∈ to a tangent line to the circumference described by the twirling.
Since it is perpendicular instead of m=3 it is -1/m i.e. -1/3, also the circumference intercepts the y-axis in ≈10
g(x)=-1/3x+10
7) In this case, we must also find the function.
x=units of electricity, y=units of gas |
500x+100y=331
400x+250y=326
The cost per unit of gas is y. Finding out the unit value for y
Answer:
9.8
Step-by-step explanation:
slope from graph
g(x) = x2 − 8x + 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?
Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units
Answer: The answer is (B) Right by 4 units.
Step-by-step explanation: The two functions f(x) and g(x) are defined as follows:
We are to check the correct transformation of the graph of f(x) to the graph of g(x).
We can rewrite the graph of g(x) as follows:
Comparing this with the equation of f(x), we can say that f(x) is shifted right by 4 units to obtain g(x).
The graphs of both the functions are shown in the attached figure.
Answer:
Left by 4 units
Step-by-step explanation:
I took it the first time and put Right 4 units and got it wrong. When i put left by 4 units i got it right.