Answer:
D 2 1/3 Ft^2
Step-by-step explanation:
We know that this is a triangle, so the area is
A = 1/2 bh
The base is 1 1/6 and the height is 4
Changing 1 1/6 to and improper fraction
1 1/6 = (6*1 +1)/6 = 7/6
A = 1/2 * 7/6 *4
A = 28/12
A = 7/3
Changing back to a mixed number
A = 2 1/3 ft^2
This equation is separable,
Integrate both sides and solve for 
:
Solve for 
using the initial value.
Then the particular solution is
Given:
A box-and-whisker plot of data set.
To find:
The percentage of the data values that are greater than 80.
Solution:
From the given box-and-whisker plot, it is clear that:
Minimum value = 8
First quartile = 60
Median = 68
Third quartile = 80
Maximum value = 92
We know that the 25% the data value are greater than or equal to third quartile because the third quartile divides the data in 75% to 25% and 80 is the third quartile.
Therefore, about 25% of the data values that are greater than 80.
<h3>Answer: Choice D
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Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
- Choice A) This is true because as we approach x = 2 from the left hand side, the y values get closer to y = 1 from the top
- Choice B) This is true. As we get closer to x = 4 on the left side, the blue curve is heading downward forever toward negative infinity. So this is what y is approaching when x approaches 4 from the left side.
- Choice C) This is true also. The function is continuous at x = -3 due to no gaps or holes at this location, so that means its limit here is equal to the function value.
- Choice D) This is false. The limit does exist and we find it by approaching x = -4 from either side, and we'll find that the y values are approaching y = -2. In contrast, the limit at x = 2 does not exist because we approach two different y values when we approach x = 2 from the left and right sides (approach x = 2 from the left and you get closer to y = 1; approach x = 2 from the right and you get closer to y = -2). So again, the limit does exist at x = -4; however, the function is not continuous here because its limiting value differs from its function value.
- Choice E) This is true because the function curve approaches the same y value from either side of x = 6. Therefore, the limit at x = 6 exists.
Answer:
7935
Step-by-step explanation:
The required number consists of digits 3,5,7,9.
3 in 843 appears in the units place. In the required number 3 has a value which is ten times that in 843. So in the required number 3 appears in the tens place.
9 in 34629 appears in the units place. In the required number 9 has a value which is hundred times that in 34629. So in the required number 9 appears in the hundreds place.
7 in 4782 appears in the hundreds place. In the required number 7 has a value which is ten times that in 4782. So in the required number 7 appears in the thousands place.
5 is in the remaining place.
So the required number is 7935
