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Elodia [21]
2 years ago
14

(n) ________ is a variable that affects both variables of interest and may falsely give the impression of a cause-and-effect rel

ationship.
Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

Answer: CONFOUNDING VARIABLES

Step-by-step explanation: Confounding variables are

unexpected external factor that affects both variables of interest, confounding variables usually gives the false impression that changes in one variable leads to changes in the other variable, when, in Actual, it is the external factor that caused the change being investigated. Confounding variables usually leads to wrong conclusions during research and experiments and are capable of causing biased outcomes when the real cause and effect relationship is not determined.

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Two cross sections of a right hexagonal pyramid are obtained by cutting the pyramid with planes parallel to the hexagonal base.
Tanya [424]

Answer:

The larger cross section is 24 meters away from the apex.

Step-by-step explanation:

The cross section of a right hexagonal pyramid is a hexagon; therefore, let us first get some things clear about a hexagon.

The length of the side of the hexagon is equal to the radius of the circle that inscribes it.

The area is

A=\frac{3\sqrt{3} }{2} r^2

Where r is the radius of the inscribing circle (or the length of side of the hexagon).

Now we are given the areas of the two cross sections of the right hexagonal pyramid:A_1=216\:ft^2\: \:\:\:A_2=486\:ft^2

From these areas we find the radius of the hexagons:

r_1=\sqrt{\frac{2A_1}{3\sqrt{3} } } =\sqrt{\frac{2*216}{3\sqrt{3} } }=\boxed{9.12ft}

r_2=\sqrt{\frac{2A_2}{3\sqrt{3} } } =\sqrt{\frac{2*486}{3\sqrt{3} } }=\boxed{13.68ft}

Now when we look at the right hexagonal pyramid from the sides ( as shown in the figure attached ), we see that r_1 r_2 form similar triangles with length H

Therefore we have:

\frac{H-8}{r_1} =\frac{H}{r_2}

We put in the numerical values of r_1, r_2 and solve for H:

\boxed{H=\frac{8r_2}{r_2-r_1} =\frac{8*13.677}{13.68-9.12} =24\:feet.}

8 0
2 years ago
Work this travel problem based on the data provided in the various tables in this section.
grigory [225]
42% ................................
3 0
2 years ago
Estimate the sum of 196 and 482
k0ka [10]
The answer to this problem would be 700. if you need the sum that isnt estimated, its 678.
4 0
2 years ago
Suppose that a system has 5000 grasshoppers. how many hawks would be expected?
aliina [53]
Probably 2500 or less because they dont need that much hawks.

3 0
2 years ago
Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8
ValentinkaMS [17]
The answer is 6 ....you just have to do the steps backwards and it will result faster.
6+5=11
11*2=22
22-6=16
16/2=8
4 0
2 years ago
Read 2 more answers
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