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2 years ago

"A quadrilateral is a trapezoid if and only if it has exactly one pair of parallel sides."

Mathematics

2 answers:

Misha Larkins [42]2 years ago

7 0

The given statement about Trapezoid is

"A quadrilateral is a trapezoid if and only if it has exactly one pair of parallel sides."

Other Quadrilaterals, Parallelogram, Rhombus, Square, Rectangle and Kite can be also Called as Trapezoid.

Trapezoid is special name given to Quadrilateral which has only a single pair of Parallel sides.

Out of given options ,the correct Statement is

Option A: A trapezoid has exactly one pair of parallel sides if and only if it is a quadrilateral.

Maksim231197 [3]2 years ago

6 0

D is the correct answer

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Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

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3 years ago

Wat does 5 represent in 4c+5=27

svet-max [94.6K]

Answer:

Number? xd

The question is incomplete

Step-by-step explanation:

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2 years ago

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Mr. Anders was three times as old as Kate 5 years ago. Their total age now is 42 years. How old is Kate now?

katrin [286]

We can write this as two equations. Call Mr. Anders' age A and Kate's age K:
$A-5=3(K-5)$
$A+K=42$

Then solve for A in the second equation:
$A=42-K$

Substitute this into the first equation:
$(42-K)-5=3(K-5)$
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2 years ago

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Vesna [10]

Answer:

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Step-by-step explanation:

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