Can four 60° angles form a unique quadrilateral?

Mathematics

1 answer:

jolli1 [7]3 years ago

7 0

Answer:

Nope

Step-by-step explanation:

No, it is not possible; Possible explanation: Four sides connected at these angles cannot form a closed figure. The sum of the angles in a quadrilateral is 360°. Possible quadrilaterals include a rhombus, a parallelogram, a trapezoid, and an unclassified quadrilateral.

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In a local car lot, 1/6

Black_prince [1.1K]

Answer: $\dfrac{5}{324}$

Step-by-step explanation:

Given

Probability that car has a standard transmission is $\frac{1}{6}$

So, the probability that the car does not have transmission is

$1-\dfrac{1}{6}=\dfrac{5}{6}$

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

$\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}$