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Oksanka [162]
3 years ago
10

Evaluate the determinant for the following matrix [144] [522] [155]

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
Matrix :

1    4    4

5    2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0
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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
What is the ratio of 3 1/2 inches to 4 2/3 feet in simplest form
Elden [556K]
3 1/2= 3.5 inches and 4 2/3 feet is 56 inches. Now put 3.5/56=0.0625
7 0
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How can you help this student make sense of her method? <br> ONLY ANSWER IF YOU KNOW THE ANSWER
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Answer

I The Turner family spent at least $100 each week.

A) I only

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By looking at the graph. We can interpret the following information.

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5th week = $150

From the above information.

The Turner family spent at least $100 each week.

The other statements are false.

Therefore, the answer A) I only

Thank you. :)

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