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Given the diagram, which of the following must be true?

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:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

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:

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Population of 280, which means that [tex]N = 280[/tex]

112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]

Sample of eight passengers means that [tex]n = 8[/tex]

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

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]

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

Answer: 9 adults 7 children

Step-by-step explanation:

Answer:

266.65

Step-by-step explanation:

65% of 60 = 39 sandwiches sold

85% of 40 = 34 baguettes sold

all Jacket potatoes sold 3.25 x 25

34 x 2.70

39 x 2.40

add the total and comes to 266.65

Answer:

The probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.

Step-by-step explanation:

Since Kelly Slater and Andy Irons are in a surf competition among 10 competitors, to determine, if all surfers are at an equal surfing level, then what is the probability that Kelly will place 1st and Andy will place 2nd, the following calculation must be performed:

1/10 x 1/9 = X

0.1 x 0.11 = X

0.01111 = X

1/90 = 0.011111 = X

Therefore, the probability that Kelly will place 1st and Andy will place 2nd is 1/90, or 1.11%.

Answer:

Step-by-step explanation:

Guss

Answer:

cosA = 1/2

Step-by-step explanation:

cos = adj/hyp

cosA = 5 /10

cosA = 1/2

Answer:

10 2/7

Step-by-step explanation:

Of means multiply

2/7 *36

72/7

Changing from an improper fraction

70/7 +2/7

10 2/7

Answer:

[tex] \frac{2}{7 } \: of \: \: 36 \\ = \frac{2}{7} \times 36 \\ = \frac{2 \times 36}{7} \\ = \frac{72}{7} \\ = 10 \frac{2}{7} \\ = 10.28[/tex]

✐ The answer in fraction form is 72/7, & in decimal form is 10.28.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

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Answer:

They do not.

Step-by-step explanation:

a² + b² = c²    c is the hypotenuse

9² + 12² = 17²

81 + 144 = 289

225  ≠  289

Answer:

149

Step-by-step explanation:

nth term = 4n - 3 ..............(1)

Now,

For The tern closer to 150

150 = 4n - 3

or, 153 = 4n

or, n = 38.25

Now,

Since n can not be in decimal,

Put n = 38 in (1)      (Rounding off 38.25 to 38)

or, nth term = 38*4 -3

                    = 152 - 3 = 149

∴ The number of sequence closer to 150 is 149

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that [tex]\mu = 1200, \sigma = 900[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{900}{\sqrt{10}} = 284.6[/tex]

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

The sampling distribution of the sample mean amount of money in a savings account is mean of 1,200 and standard deviation of 284.6 dollars.

Since the distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. And, a random sample of 10.

So here the mean should be $1,200

And, the standard deviation should be

[tex]= 900 \div \sqrt10[/tex]

= $284.6

learn more about mean here: https://brainly.com/question/9588526

Answer: 405 dollars

Step-by-step explanation:

200 * x = 270

x = 270 * 300/200. x =405 dollars

9514 1404 393

Answer:

  B

Step-by-step explanation:

To find the graph of the inverse function, swap the labels x and y on the axes of the given graph.

There are no x-values common to all the tables, but you can make a determination of the correct one by looking at x=1 and x=-1.

After you swap the axis labels you see that the points ...

  (x, y) = (1, -2) or (-1, -3)

are on the graph. These points are only found in the table of selection B.

The table contains points from the inverse of the graphed function is B. Table 2.

A graph simply means a diagram that represents the variation of a variable when being compared with other variables.

In this case, the inverse of the graphed function will simply be done by switching all the values of x and y in each point. This is clearly illustrated in the second table.

Learn more about graphs on:

https://brainly.com/question/14323743

Answer:

1

Step-by-step explanation:

just is

Answer:

C

Step-by-step explanation:

5/6 + 1/12 need the same denominator.

(5/6) * 2

10/12 + 1/12

11/12

This is almost one whole, ( 11/12 ~ 1) therefore, C is the best answer.

Have a great day! Hope I helped!

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

(5 x 20) + (8 x 10) =

100 + 80 =

180

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hundreths

Step-by-step explanation:

Answers:

======================================

Explanations:

Let u = (1, 0) and v = (0, 1). Then

T (u) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

T (v) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=>   T (u) + T (v) = (-1, 9, 5)

but

T (u + v) = T (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=>   T (u + v) ≠ T (u) + T (v)

which means T does not preserve addition, so it is not linear.

Taking point (0,-2) of graph one and replacing in the equation;

2x+3y=6

2(0)+3(-2)=6

-6=6

So graph isn't the required graph.

Taking point (0,2) of graph 2;

2x+3y=6

2(0)+3(2)=6

6=6

So, graph 2 is the required graph.

Answer:

nice

Step-by-step explanation:

Hi

It's not a good estimation.  2 is  10% of  20, so 5% is 1 dollar.  

As the bill is  above  20, and  15 =  10+5  , so   15% is at least more than 3.

So 3 would be a better estimation.  

In fact, 15% of 20.36  is :  20.36 *0.15 = 3.054

Answer:

the answer is probably C

Answer:

the answer is B

Step-by-step explanation:

because the minimum score is 5

Answer: $39

Step-by-step explanation: Actual answer is $39.1 but I rounded down

Answer:

Am = 5 * 6^(m-1)

Step-by-step explanation:

30/5 = 6

180/30 = 6

Am = 5 * 6^(m-1)

Answer:

triangle a and b

Step-by-step explanation:

because its common knowledge

Answer:

D

Step-by-step explanation:

Multiplying the first equation by 2 yields 6w - 8z = 16.

Multiplying the second equation by 3 yields 6w + 9z = -18.

Subtracting the two equations gives -17z = 34, and thus z = -2.

Substituting this back into the first equation gives that 3w+8=8, and thus w=0.

Answer:

bottom left

Step-by-step explanation:

Answer:

0.00793650794 or 8/7 in fraction form

Step-by-step explanation:

Find the reciprocal of the divisor

we can bought 6 inches of wire which costs 24 cents

Answer: A three-dimensional figure has a length, a width, and a height. A net is a two-dimensional pattern of a three-dimensional figure, that can be folded to form the figure. Identify the net that we could fold in order to create this 3D figure. Match the 3D figure to the right with its appropriate net, below.

Answer: 282.743 in2

Step-by-step explanation: