How do you do this equation?

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 = $\dfrac{26}{27}$

8 0

3 years ago

the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from

Aleks [24]

Answer:

direct distance = 65,644.07 feet

horizontal distance = 65,154.77 feet

Step-by-step explanation:

The angle of depression is the angle that the airplane does with the horizontal plane.

So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.

In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:

tangent(7) = 8000 / hd

hd = 8000 / tangent(7) = 65,154.77 feet

In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:

sine(7) = 8000 / d

d = 8000 / sine(7) = 65,644.07 feet

5 0

3 years ago

Which Universal Life option has a gradually increasing cash value and a level death benefit?

Damm [24]

Answer:The universal life insurance option A

Step-by-step explanation:

3 0

3 years ago

1. Mr.Customs is correcting the class’s math homework on customary units. Which of the following measurements is reasonable?

frosja888 [35]

Answer:

The reasonable measurement in question 1 is D - the distance from New York to California is 2,250 miles. The best unit of measurement for the length of the distance of your textbook is A - inch.

Step-by-step explanation:

The United States uses the Imperial System of measurement which uses things such as inches, feet, yards and miles. In order to understand reasonable measurements, you need to first realize the order in which size would be determined. For instance, 12 inches is equal to one foot, which can be found on your typical ruler. Additionally, three feet is equal to one yard, which we can find on a yard stick. Lastly, there are 1,760 yards in one mile, which is typically measured with some time of pedometer/odometer. So, when you think about calculating measurement for common things such as a pencil or distance between cities, think about whether this distance could be measured using a ruler or perhaps the odometer on a car.

3 0

3 years ago

The least common multiple of 3, 4, 6, and 8 is <br> A. 72.<br> B. 24.<br> C. 96.<br> D. 8.

Maslowich

The least common multiple of 3, 4, 6, and 8 is 24.

List the multiples out:

3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24

5 0

3 years ago

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