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Lorico [155]
3 years ago
10

About 24% of flights departing from New York’s John F. Kennedy International Airport were delayed in 2009. Assuming that the cha

nce of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct? Group of answer choices
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0

Answer:

Step-by-step explanation:

The question is incomplete. The missing part is:

(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability. (B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability. (C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability

Solution:

In binomial probability, the assumption is that there is only one outcome for each trial. This is because the probability of success or failure is constant. Each trial is also independent of the other trial. This means that the probability of event A happening does not depend on the outcome of event B.

In the given scenario, the probability of a flight being delayed depends on the probability of the previous flight being delayed. It means that the outcomes are not independent. In geometric probability, a trial is repeated until success is achieved. The outcomes are also independent. Therefore, the correct option is

(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.

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What is the surface area for this?
IrinaK [193]

Answer:

143 cm²

Step-by-step explanation:

There are 3 pairs of sides to this shape,

1 pair is the top and bottom pieces, each has an area of 4(3) = 12 cm², so there are 24 cm² from this pair.

the second pair is the front and back pieces, each has an area of

4(8.5) = 34 cm², so there are 68 cm² from this pair.

the third pair are the side pieces, each has an area of

3(8.5) = 25.5 cm², so there are 51 cm² from this pair.

Al together there are 24 + 68 + 51 = 143 cm²

4 0
3 years ago
A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attract
Mariulka [41]

9514 1404 393

Answer:

  80.5°

Step-by-step explanation:

The applicable trig function is the tangent.

  Tan = Opposite/Adjacent

In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...

  tan(α) = 324/54

The value of the angle with this tangent is found using the arctangent function:

  α = arctan(324/54) ≈ 80.5°

She should set her binoculars to 80.5°.

6 0
3 years ago
Use the equation
Cerrena [4.2K]

Answer:-  The pressure 'p' will be infinity at volume 'V'=0.

Explanation:-

The given equation :- p=\frac{8.31}{V} where p is a rational function dependent on V.

A rational function is undefined for denominator = 0.

In the given function V is the denominator , if V=0 then the function will be undefined.

⇒ p will approach to zero at V=0.

For assistance see the attachment , the graph of the given function represented by vertical assymptote which approaches to 0 but never touches it..

7 0
3 years ago
Read 2 more answers
Select True or False for each statement.
mote1985 [20]
<h2>Answer:</h2>

For a real number a, a + 0 = a.  TRUE

For a real number a, a + (-a) = 1.  FALSE

For a real numbers a and b, | a - b | = | b - a |.  TRUE

For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).  FALSE

For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

<h2>Explanation:</h2>

  • <u>For a real number a, a + 0 = a.  </u><u>TRUE</u>

This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is a, so it is true that:

a+0=a

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This is false, because:

a+(-a)=a-a=0

For any number a there exists a number -a such that a+(-a)=0

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This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

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This is false. By using distributive property we get that:

(a + b)(a + c)=a^2+ac+ab+bc \\ \\ a^2+ab+ac+bc \neq a+(b.c)

  • For rational numbers a and b when b ≠ 0, is always a rational number. TRUE

A rational number is a number made by two integers and written in the form:

\frac{u}{v} \\ \\ v \neq 0

Given that a \ and \ b are rational, then the result of dividing them is also a rational number.

7 0
3 years ago
Read 2 more answers
Please answer the question from the attachment.
Allushta [10]
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6 0
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