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3 years ago

Select the correct days.

Mathematics

2 answers:

liubo4ka [24]3 years ago

7 0

Answer:

Monday and Tuesday

Step-by-step explanation:

Alex17521 [72]3 years ago

5 0

Answer 19

Step-by-step explanation:

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$A_1=6\cdot5=30\ [in^2]\\\\A_2= \frac{1}{2} \cdot[15+(7+5)]\cdot4=2\cdot(15+12)=2\cdot27=54\ [in^2]\\\\A=A_1+A_2=30+54=84\ [in^2]$

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To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

lukranit [14]

Answer: $\dfrac{26}{27}$

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : $p=\dfrac{6}{9}=\dfrac{2}{3}$

Sample size taken by customs oﬃcial : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

The probability that the traveler will be arrested for illegal possession of narcotics = $P(x\geq1)=1-P(x=0)$

$1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}$

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = $\dfrac{26}{27}$

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3 years ago