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2 years ago

I need help bc good at every class but math

Mathematics

2 answers:

stich3 [128]2 years ago

6 0

R=7 s=2
Substitute it in for the variables
7+ (2+1)^2 /3
Do parentheses first
7+ 3^2 /3
Do exponent
7+ 9 /3
Add
16/3 which = 5 1/3

Kobotan [32]2 years ago

5 0

Answer:

Step-by-step explanation:

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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

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3 years ago

42 divided by 6 plus 5 by the power of 2

Degger [83]

The answer would be 144 :)

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3 years ago

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9. Sarah has to create a floral arrangement out of twigs and flowers that has a total of 9 objects. She has to

noname [10]

Answer:

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6 0

3 years ago

Please help!!

vodomira [7]

Answer:

The population will be 240,116

Step-by-step explanation:

Exponential growth can be represented by the expression:

$P(t) = P_i\,(1+r)^t$

where:

$P(t)$ is the population at time (t)

$P_i$ is the initial value of the population

"r" is the annual rate of growth (written in decimal form)

and "t" is the time in years.

Therefore in this situation, P(16) is what we want to find [the population after 16 years]

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the rate of growth is 0.05 [decimal form of 5%]

and t is 16 years.

Replacing all these in the given functional form gives:

$P(t) = P_i\,(1+r)^t\\P(16)=110000\,(1+0.05)^16\\P(16)=240116$

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3 years ago

A bicyclist travels at a constant speed of 18 mi/h. How long does it take the bicyclist to travel 90 mi

Stells [14]

If the bicyclists is traveling 18 miles every hour and needs to travel a sum of 90 miles, you need to divide 90/18 equaling the total time (in hours) needed to travel 90 miles. Hope this helps

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3 years ago

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