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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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A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

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R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

5 0
1 year ago
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Marcie built a scale model of the tallest building in town with an antenna on top. The model stands 6 2/3 centimeters tall. The
marysya [2.9K]

The answer is 1/2...........

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2 years ago
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In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?
PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠M is 42°.

Step-by-step explanation:

Given that,

                  In ΔMNO, ∠O=90°, ON=65, MO=72, and NM=97.

and we have to find the value of tangent of ∠M.

Diagram of the given triangle is shown below:

Now,

ΔMNO is a right angle triangle, so we can use all the trigonometric ratio.

sin\alpha =\frac{Perpendicular}{Hypotenuse}

cos\alpha =\frac{Base}{Hypotenuse}

tan\alpha =\frac{sin\alpha }{cos\alpha } = \frac{Perpendicular}{Base}

tangent of ∠M = \frac{Perpendicular}{Base}

                         = \frac{ON}{MO}

                         = \frac{65}{72}

                         = 0.90278

∴∠M = tan^{-1} (0.90278)

        = 42.0750° ≅ 42°

Therefore the value of tangent of ∠M is 42°.

4 0
1 year ago
Which of these conditions might be true if polygons ABCD and KLMN are similar? The measures of corresponding angles of ABCD and
AlexFokin [52]

Answer:  The correct option is

(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.

Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.

So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.

In option (A), we have

The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.

And the lengths of corresponding sides of ABCD are half those of KLMN.

So, we can write

AB=\dfrac{1}{2}KL,~~BC=\dfrac{1}{2}LM,~~CD=\dfrac{1}{2}MN,~~AD=\dfrac{1}{2}KN\\\\\\\Rightarrow \dfrac{AB}{KL}=\dfrac{BC}{LM}=\dfrac{CD}{MN}=\dfrac{AD}{KN}=\dfrac{1}{2}.

Therefore, the corresponding sides are proportional.

Thus, option (A) is true if two polygons are similar.

3 0
1 year ago
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5 equally sized boxes of cake mix fell off the back of Jake's truck. Together they weigh 925.98 pounds. How much does each ball
uysha [10]

we are given

5 equally sized boxes of cake mix fell off the back of Jake's truck

it means that

total number of balls =5

Together they weigh 925.98 pounds

total weighs =925.98 pounds

each ball weighs = (total weights)/(total number of balls)

now, we can plug values

each ball weighs =\frac{925.98}{5}

each ball weighs is 185.196 pounds..................Answer

4 0
1 year ago
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