Which of the following demonstrates how the 70 is calculated using the<br> combination pattern?

Skyler paid 8.95 for 5 pounds of nectarines. What is the unit rate?

likoan [24]

Answer:

$\$1.79\ per\ pound$

Step-by-step explanation:

we know that

To find the unit rate, divide the total dollar amount Skyler paid by the total pounds of nectarines

Let

x ----> the total dollar amount

y ----> the total pounds of nectarines

we have

$x=\$8.95\\y=5\ pounds$

so

the unit rate is

$\frac{x}{y}$

substitute the values

$\frac{8.95}{5}=\$1.79\ per\ pound$

3 0

3 years ago

On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding pa

Sonja [21]

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses 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 sucesses.

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:

Population of 280, which means that $N = 280$

112 use e-ticket check-in kiosk, which means that $k = 112$

Sample of eight passengers means that $n = 8$

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

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

$P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348$

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

3 0

3 years ago

What ratio is not equivalent to the othe three 2/3, 12/15, 18/27 .6/9

seraphim [82]

12/15 simplifies to 4/5, whereas all the others simplify to 2/3. Therefore, 12/15 is not equivalent to the rest.

8 0

3 years ago

Which graph shows the solution to the following inequality -2r+3>19

alukav5142 [94]

Answer:

r<-8

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the prime factors of 24 please hurry??!!!

Alex777 [14]

Answer:

So, the prime factorisation of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers.

Step-by-step explanation:

Hope it helps!

8 0

3 years ago

Which of the following demonstrates how the 70 is calculated using the combination pattern?