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3 years ago

What is 0.818181818181818181 as a fraction

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

Answer:

8/9

Step-by-step explanation:

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Solve the following equation. 14 + (2x + 7) = 9x x=

Dvinal [7]

Answer:

x=1

Step-by-step explanation:

14+2x+7=9x

2x-9x=7-14

-7x= -7

x= -7/-7

x=1

3 0

2 years ago

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

2 years ago

Barbara has $70.00 in her pocket and a $20 gift card. Which purchase will she be able to make without having to use her credit c

suter [353]

Yes depending on her purchase. If it is over 90.00 dollars then no she will not.

3 0

3 years ago

Plz help!!!! Need quick. 65 points

DanielleElmas [232]

Answer:

The area of the mat is 2/3 m^2

Step-by-step explanation:

Area of a rectangle is length times width or

A = l x w

8/9 x 3/4 =

24/36 =

2/3

4 0

3 years ago

Read 2 more answers

Rotate the rectangle 90∘ clockwise about the cross

netineya [11]

Answer:

$\large \boxed{\mathrm{view \ attachment}}$

Step-by-step explanation:

The rectangle is rotated 90 degrees clockwise about the cross.

8 0

2 years ago