All categories

3 years ago

Write and solve the proportion.

Mathematics

2 answers:

mart [117]3 years ago

6 0

Answer:

5 gallons of gas cost about $15.42

Nonamiya [84]3 years ago

5 0

Answer: I believe it would be 15.42

Step-by-step explanation:

You might be interested in

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

Which statement best completes the diagram Immigration from Europe increases A. Farmers refuse to move to new territories B. Eur

AveGali [126]

Answer:

A). Farmers refused to move to new territories

Step-by-step explanation:

hope this helps :) :)

6 0

3 years ago

Read 2 more answers

Tap on the thing and somebody help me with all this pls

Mumz [18]

Hey what number do you need help with

8 0

3 years ago

If I varies inversely with R and I = 0.25 when R = 18, which equation should be used to show this relationship?

pashok25 [27]

Inverse relationships are of the form xy=k or if you prefer y=k/x so to find the constant we can say:

18(0.25)=k=4.5

So you could say: IR=4.5 or I=4.5/R

7 0

3 years ago

B>13/9 interval notation

BartSMP [9]

Interval Notation of b > 13/9 is [13/9, infinity)

3 0

2 years ago