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Margaret [11]
3 years ago
9

Drag and drop a statement or reason to each box to complete the proof.

Mathematics
2 answers:
Inga [223]3 years ago
7 0

Answer:

Given : EFGH is a Parallelogram

Prove : EG Bisects HF , HF Bisects EG

Step-by-step explanation:

Proof

Check image below

frozen [14]3 years ago
5 0

Answer:

Given Parallelogram EFGH

EG bisects HF and HF bisects EG, if and only if both the diagnols have same mid point.

Step-by-step explanation:

Step 01:

Let

E be the point (a,b)

F be the point (a',b)

G be the point (a',b')

H be the point (a,b')

Step 02:

Now find mid points of EG and HF

mid point of EG = ( \frac{a+a'}{2}, \frac{b+b'}{2} ) and

mid point of HF = (  \frac{a'+a}{2},\frac{b'+b}{2} )

Since addition is commutative, and they have the same mid-point, so they bisect each other.

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We are given that a publisher reports that 34% of their readers own a particular make of car. A random sample of 220 found that 30% of the readers owned a particular make of car.

And, a marketing executive wants to test the claim that the percentage is actually different from the reported percentage, i.e;

Null Hypothesis, H_0 : p = 0.34 {means that the percentage of readers who own a particular make of car is same as reported 34%}

Alternate Hypothesis, H_1 : p \neq 0.34 {means that the percentage of readers who own a particular make of car is different from the reported 34%}

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                T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual % of readers who own a particular make of car = 0.34

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            n = sample size = 220

So, Test statistics = \frac{0.30 -0.34}{\sqrt{\frac{0.30(1- 0.30)}{220} } }

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