Pressures of supply and demand act directly on the prices of airline tickets. As the seats available on the plane begin to fill, airlines raise the price. If seats on a flight do not sell well, an airline may discount the tickets or even cancel the flight. Allie Henrich, a BYU-Idaho student, WANTED TO PREDICT THE PRICE OF TICKETS 14 DAYS BEFORE A FLIGHT BASED ON THE PRICE OF TICKETS LISTED 90 DAYS BEFORE THE SAME FLIGHT. For her study she compared the prices of one-way flights from London's Heathrow Airport to various destinations in Europe. Using Travelocity.com, she recorded the lowest published fares for 90 nonstop midweek flights 90 days in advance and then found the lowest published price for the same destination again 14 days in advance. The prices (in US dollars) are given in the file DirectFlightCosts. Notice that for some destinations, flights were not available.
1. Compute the sample correlation coefficient of the 14 Days before flight ticket prices compared with the 90-Days before flight ticket prices. Give your answer accurate to three decimals.2. Create a scatterplot using these two variables. Using this scatterplot and referring to the correlation coefficient above, select the answer that best describes the data illustrated in the scatterplot.a. Linear with a fairly strong negative associationb. Linear with a fairly strong positive associationc. Linear with a strong negative associationd. Nonlinear

Answer:

  $18,862.91

Step-by-step explanation:

The appropriate formula is ...

 A = P(1 +r/n)^(nt)

where P is the amount invested (14,000), r is the APR (.05), n is the number of times per year interest is compounded (4), and t is the number of years (6).

Filling in the numbers and doing the arithmetic, we get ...

  A = 14,000(1 +.05/4)^(4·6) = 14,000·1.0125^24 ≈ 18,862.91

The balance after 6 years will be $18,862.91.

Answer:

A is a knave

B is a knight

Step-by-step explanation:

If A is telling the truth, then both are knights and B cannot be lying. However, since B claims that A is a knave, they can't be both knights, and there is no possible way that A is a knight.

If A is knave and thus is lying, they aren't both knights. Since B claims A is a knave, his statement can be true and thus B can be knight and A will be knave.

There different kinds of puzzle. The option that is correct about the puzzle is option A which states that A is a knave and B is a knight.

It is known as a logic puzzles that  took place on an island with two kinds of people. It is a puzzle by American mathematician and musician called Raymond Smullyan  in his book written in 1978.

Note that knave often lie and thus A may be lying when He said he was a knight Since B claims A is a knave, his statement can be said to be true and thus B can be regarded as knight.

See full question below

The logician Raymond Smullyan describes an island containing two types of people: knights who always tell the truth and knaves who always lie. You are visiting the island and have the following encounters with natives. (a) Two natives A and B address you as follows. A says: Both of us are knights. B says: A is a knave.

What are A and B?

A. A is a knave and B is a knight.

B. A is a knave and A is a knight.

C. Both A and B are knights.

D. Both A and B are knaves.

Learn more about knight from

https://brainly.com/question/11363810

[tex]3x +4y+175x-2y=11[/tex]

[tex]4y-2y+175x+3x=11[/tex]

[tex]2y+178x=11[/tex]

[tex]2y=11-178x[/tex]

[tex]y=\frac{11-178x}{2}[/tex]

[tex]y=-89x+\frac{11}{2}[/tex]

[tex]178x=-2y+11[/tex]

[tex]x=\frac{-2y+11}{178}[/tex]

[tex]x=\frac{-1}{89} y+\frac{11}{178}[/tex]

Answer:

Step-by-step explanation:

The  histogram shown in the attached file show that the distribution of differences is approximately normal.

So, we can assume that the distribution is normal.

.

b)

The 95% confidence level for [tex]\mu _D=\mu_1-\mu_2[/tex] is found

[tex]\bar d \pm t_{0.025,11}\frac{S_D}{\sqrt{n} }[/tex]

[tex]=0.666667 \pm 2.201\frac{(2.964436)}{\sqrt{12} } \\\\0.666667 \pm 2.201(0.85576)\\\\=0.666667+ 1.883525474=2.5502\\\\=0.666667- 1.883525474=-1.2169\\\\=(-1.2169,2.5502)[/tex]

since 0  is in the confidence interval. we do not reject the null hypothesis.

No, there is no indication of one design language is available.

[tex]\text{Solve:}\\\\4(x-2+y)\\\\\text{Use the distributive property:}\\\\4x-8+4y\\\\\text{Since you can't simplify it any further, that'll be your answer}\\\\\boxed{4x-8+4y}[/tex]

Answer:

4x-8+4y

Explanation:

///

Answer:

k = P - m - n

Step-by-step explanation:

The question is asking you to rearrange the equation so that k is alone on one side.

P = k + m + n

P - k = (k + m + n) - k

P - k = m + n

(P - k) - P = m + n - P

-k = m + n - P

-1(-k) = -1 (m + n - P)

k = -m - n + P

The equation is completely simplified so this is your answer.

Answer:

The numerator would be [tex]4x+6[/tex]

Step-by-step explanation:

[tex]\frac{x}{x^{2}+3x+2 } +\frac{3}{x+1}[/tex]

= [tex]\frac{4x^{2}+10x+6 }{x^3+4x+5x+2}[/tex]

= [tex]\frac{2(2x+3)(x+1)}{(x+1)(x+1)(x+2)}[/tex]

= [tex]\frac{4x+6}{x^2+3x+2}[/tex]

the numerator is always the top number/value of a fraction thus it being [tex]4x+6[/tex]

brainliest pls

Answer:

10/18

=5/9

pls mark as brainliest

Answer:

5/9

Step-by-step explanation:

6 red cards, 8 green cards and 4 blue cards =  18 total cards

not green cards = 6 red+ 4 blue = 10 cards

P( not green) = number not green / total

                      = 10/18

                      =5/9

Answer:

16

Step-by-step explanation:

[tex]16x^0= \\\\16(-3)^0= \\\\16(1)= \\\\16[/tex]

Hope this helps!

x = -3

[tex]A = 16.(-3)^{0} \\ x^{0} = 1\\A = 16.1 \\A = 16[/tex]

Remember that [tex]x^{0} = 1[/tex] ∀ [tex]x[/tex]

Answer:

3,325,140 Joules

Step-by-step explanation:

Work done by the pump = Force applied to pump * distance covered by the water.

Since Force = mass * acceleration due to gravity

Force = (density of water * volume of the tank) * acceleration due to gravity

F =ρVg

Workdone = (ρVg )* d

Given ρ = 1000kg/m³, g = 9.8m/s², d = 3m

[tex]V = \pi r^{2}h\\V = \pi (2)^{2} *9\\V = 36 \pi \\V =113.10m^{3}[/tex]

Workdone by the pump = 1000 * 113.10 * 9.8 * 3

Workdone by the pump  = 3,325,140Joules

Answer: D

Step-by-step explanation:

The key to finding the line perpendicular to the one given is teh slope. The slope is the opposite reciprocal of the original line.

m=3

perpendicular m=-1/3

Now that we know the slope, we can see which of our answer choices have -1/3 as the slope. We can see D is the only option that has -1/3 for slope.

Answer:

D) y = -1/3x - 4

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that since the slope of this line is 3, the slope of a line perpendicular to it would be -1/3 because:

Original slope: 3 (3/1)

Reciprocal (flipped): 1/3

Negative reciprocal (opposite sign): -1/3

The only equation with a slope of -1/3 is D. Therefore, that is the correct answer.

Hope this helps!

Answer:

Step-by-step explanation:

total number of digits= 10 (from 0 to 9)

total number of letters = 6 (from A to F)

probability of numbers = 10/(10+6)

= 0.625

this is a case of binomial distribution with fixed number trials

n = 32 and probability p = 0.625

we have to find probability of at least 20 numbers

Use the BINOM.DIST function in Excel to find the cumulative probability.

P(at least 20 numbers) = 1 - BINOMDIST(numbers, trials, probability,true)

setting numbers = 20-1, trials = 32 and probability = 0.625

we get

[tex]P(X \geq 20)=1 - BINOMDIST(20- 1, 32, 0.625, true) \\\\=1 -0.4219 \\\\=0.5781[/tex]

Alternatively,

The probability that there are exactly r letters can be found with binomial probability.

P = nCr pʳ qⁿ⁻ʳ

Given that n = 32, p = 5/8, and q = 3/8, you can use Excel to find each probability from r=20 to r=32, then add them all up.

P = ₃₂C₂₀ (⅝)²⁰ (⅜)³²⁻²⁰ + ₃₂C₂₁ (⅝)²¹ (⅜)³²⁻²¹ + ... + ₃₂C₃₂ (⅝)³² (⅜)³²⁻³²

P = 0.578

Answer:

what's the question?

it's not showing

Answer:

C.

Step-by-step explanation:

To find the perimeter, we'll use the distance formula

Distance Formula = √(x₂-x₁)²+(y₂-y₁)²

Finding Distance of AB

|AB| = √(-2+5)²+(3+1)²

|AB| = √25

|AB| = 5

Now For BC

|BC| = √(6+2)²+(-3-3)²

|BC| = √(8)²+(-6)²

|BC| = √100

|BC| = 10

FOR CA:

|CA| = √(-5-6)²+(-3+1)²

|CA| = √125

Perimeter of Triangle = 10 + 5 + √125

= 15 + √125

Answer:

About 2.57

Step-by-step explanation:

[tex]21x-56=-2 \\\\21x=54 \\\\x\approx 2.57[/tex]

Hope this helps!

Answer:

I got 2.5

Step-by-step explanation

1) add 56 to both sides to get 21x = 54

2) divide both sides by 21

3) you should get 2.5

The missing part of the question is highlighted in bold format

The Wall Street Journal reported that the age at first startup for 90% of entrepreneurs was 29 years of age or less and the age at first startup for 10% of entrepreneurs was 30 years of age or more.

Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is the sample proportion of entrepreneurs whose first startup was at 29 years of age or less. If required, round your answers to four decimal places. np = n(1-p) = E(p) = σ(p) = (b) Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more. If required, round your answers to four decimal places.

Answer:

(a)

np = 180

n(1-p) = 20

E(p) = p = 0.9

σ(p) = 0.0212

(b)

np =  20

n(1 - p) = 180

E(p) = p = 0.1

σ(p) = 0.0212

Step-by-step explanation:

From the given information:

Let consider p to be the sample proportion of entrepreneurs whose first startup was at 29 years of age or less

So;

Given that :

p = 90%    i.e  p = 0.9

sample size n = 200

Then;

np = 200 × 0.9 = 180

n(1-p) = 200 ( 1 - 0.9)

= 200 (0.1)

= 20

Since np and n(1-p) are > 5 ; let assume that the data follows a normal distribution ;

Then:

The expected value of the sampling distribution of p =  E(p) = p = 0.9

Variance [tex]\sigma^2=\dfrac{p(1-p)}{n}[/tex]

[tex]=\dfrac{0.9(1-0.9)}{200}[/tex]

[tex]=\dfrac{0.9(0.1)}{200}[/tex]

[tex]\mathbf{=4.5*10^{-4}}[/tex]

The standard error of  σ(p) = [tex]\sqrt{\sigma ^2}[/tex]

[tex]\mathbf{= \sqrt{4.5*10^{-4}}}[/tex]

= 0.0212

(b)

Here ;

p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more

p = 10%   i.e p = 0.1

sample size n = 200

Then;

np = 200 × 0.1 = 20

n(1 - p) = 200 (1 - 0.1 )  = 180

Since np and n(1-p) are > 5 ; let assume that the data follows a normal distribution ;

Then:

The Expected value of the sampling distribution of p = E(p) = p = 0.1

Variance [tex]\sigma^2=\dfrac{p(1-p)}{n}[/tex]

[tex]=\dfrac{0.1(1-0.1)}{200}[/tex]

[tex]=\dfrac{0.1(0.9)}{200}[/tex]

[tex]\mathbf{=4.5*10^{-4}}[/tex]

The standard error of  σ(p) = [tex]\sqrt{\sigma ^2}[/tex]

[tex]\mathbf{= \sqrt{4.5*10^{-4}}}[/tex]

= 0.0212

Answer:

The perimeter is 26 yards

Step-by-step explanation:

Area of rectangle = A= l x w

1st rectangle = 6 x 5 = 30 yards squared

2nd rectangle= 10 x 3 = 30 yards squared

perimeter of rectangle = 2l+2w= 10 + 10 + 3 + 3= 26

Answer:

  11

Step-by-step explanation:

The prime factorization of the given product is ...

  3 × 2^2 × 5 × 11 × 3·5 = 2^2 × 3^2 × 5^2 × 11

The factor required for this to be a perfect square is 11.

_____

Check

3·4·5·11·15 = 9900 ≈ 99.499^2

9900·11 = 108,900 = 330^2 . . . a perfect square number

Answer:

a) Within 260 grams and 340 grams.

b) 68%

c) 32%

d) 97.35%

Step-by-step explanation:

The empirical rule 68-95-99.7 for bell-shaped distributions tells us that:

a) The data that covers 95% of the organs is within 2 standard deviations (z=±2).

Then we can calculate the bounds as:

[tex]X_1=\mu+z_1\cdot\sigma=300+-2\cdot 20=300+-40=260 \\\\X_2=\mu+z_2\cdot\sigma=300+2\cdot 20=300+40=340[/tex]

b) We have to calculate the number of deviations from the mean (z-score) we have for the values X=280 and X=320.

[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{280-300}{20}=\dfrac{-20}{20}=-1\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{320-300}{20}=\dfrac{20}{20}=1\\\\\\[/tex]

As there are the bounds for one standard devaition, it is expected tht 68% of the data will be within 280 grams and 320 grams.

c) This interval is complementary from the interval in point b, so it is expected that (100-68)%=32% of the organs weighs less than 280 grams or more than 320 grams.

d) We apply the same as point b but with X=240 and X=340 as bounds.

[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{240-300}{20}=\dfrac{-60}{20}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{340-300}{20}=\dfrac{40}{20}=2\\\\\\[/tex]

The lower bound is 3 deviations under the mean, so it is expected that (99.7/2)=49.85% of the data will be within this value and the mean.

The upper bound is 2 deviations above the mean, so it is expected that (95/2)=47.5% of the data will be within the mean and this value.

Then, within 240 grams and 340 grams will be (49.85+47.5)=97.35% of the organs.

Answer:

  3.06×10^-6

Step-by-step explanation:

0.00000306 = 3.06×0.000001 = 3.06×10^-6

__

Your calculator or spreadsheet can display numbers in scientific notation.

Answer:

[tex]54.6-3.51\frac{9.2}{\sqrt{48}}=49.94[/tex]    

[tex]54.6+3.51\frac{9.2}{\sqrt{48}}=59.26[/tex]    

The confidence interval is given by (49.94, 59.26)

Step-by-step explanation:

Info given

[tex]\bar X=54.6[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=9.2 represent the sample standard deviation

n=48 represent the sample size  

Part a

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]

The Confidence is 0.999 or 99.9%, and the significance is [tex]\alpha=0.001[/tex] and [tex]\alpha/2 =0.0005[/tex], and the critical value would be [tex]t_{\alpha/2}=3.51[/tex]

And replacing we got:

[tex]54.6-3.51\frac{9.2}{\sqrt{48}}=49.94[/tex]    

[tex]54.6+3.51\frac{9.2}{\sqrt{48}}=59.26[/tex]    

The confidence interval is given by (49.94, 59.26)

Answer:

0.134 = 13.4% probability that a message is spam, given that it contains the word "text" (or "txt")

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Contains the word "text", or "txt".

Event B: Spam message.

The word "text" (or "txt") is contained in of all messages, and in of all spam messages.

This means that [tex]P(A) = 1[/tex]

747 of the 5574 total messages () are identified as spam. The word "text" (or "txt") is contained in all of them. So

[tex]P(A \cap B) = \frac{747}{5574} = 0.134[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.134}{1} = 0.134[/tex]

0.134 = 13.4% probability that a message is spam, given that it contains the word "text" (or "txt")

Answer:

60 + 7x = 120

Step-by-step explanation:

Money with Riley at beginning = $60

Money saved by Riley in 1 week = $7

Her brother has $120

let there be x weeks in she saves money to make it equal to what his brother has (i.e $120)

Money saved by Riley in x week = $7*x = $7x

total money with riley after x weeks= Money with Riley at beginning  + Money saved by Riley in x week   = 60 + 7x

but it is given that she has same amount as his brother

60 + 7x = 120

=> 7x = 120 - 60 = 60

=> x = 60/7 = 8 4/7

4/7 = 4 days as one week has 7 days

Thus, it will take   8 weeks  4 days to have the same amount of money

Required equation is 60 + 7x = 120.

Answer:

The answer is 36 hours.

Step-by-step explanation:

As the month increases, the number of hours will be increased by 4 hours.

March = 4 hours

April = 4+4 = 8 hours

May = 8+4 = 12 hours

June = 12+4 = 16 hours

July = 16+4 = 20 hours

August = 20+6 = 24 hours

September = 24+4 = 28 hours

October = 28+4 = 32 hours

November = 32+4 = 36 hours

Answer:

A.

Step-by-step explanation:

A cylinder is formed by rotating the rectangle about m

Answer:

a. mean = 6.96 , standard deviation = 1.71 b. 0.0641

Step-by-step explanation:

Here is the complete question

According to the Behavioural Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary means does not exercise).

a. If you selected repeated samples of 12 from the U.S. population, what would be the mean number of individuals per sample who do not exercise regularly? What would be the standard deviation?

b. Suppose you select a sample of 12 individuals and find that 10 of them do not exercise regularly. Assuming that the Surveillance System is correct, what is the probability that you would have obtained results as bad or worse than expected?

Solution

a. Since we can only have two types of outcomes, that is, those who exercise and those who do not exercise, the problem follows a binomial distribution.

Since the probability of those who do not exercise, p = 58 % = 0.58,

the mean of the binomial distribution μ = np where n = sample number = 12

So, μ = 12 × 0.58 = 6.96

The standard deviation of a binomial distribution σ = √(npq) where q = probability that people exercise = 1 - p = 1 - 0.58 = 0.42

So, σ = √(12 × 0.58 × 0.42) = √2.9232 = 1.71

b. To find the worst case, we consider the probability that at best, two exercise. Since two exercise, the probability that at best two exercise is ¹²C₂q²p¹⁰ + ¹²C₁qp¹¹ + ¹²C₀q⁰p¹²

= (12 × 11/2)(0.42)²(0.58)¹⁰ + 12(0.42)(0.58)¹¹ + 1 × (0.42)⁰(0.58)¹²

= 0.05 + 0.0126 + 0.00145

= 0.06405

≅ 0.0641

Answer: Around 50 times.

Step-by-step explanation:

If the spinner is fair, then each number should have the same probability, that is P = 1/5 = 0.20 for each of the numbers.

Now, we know that we have 5 groups, and each group spins 50 times (so we have a total of 5*50 = 250 spins)

Then we can expect to see the number 3 around:

0.20*150 = 50

Answer:

y = 1/-20 (x-2) - 5

Step-by-step explanation:

Focus = (a,b) = (2,-4)

So a = 2, b = -4

Directrix: y = -6

But y = k

So k = -6

Finding Standard Form of Equation for parabola

y = (1/2(b-k))(x-a)²+(1/2)(b+k)

y = (1/2(-4-6))(x-2)+(1/2)(-4-6)

y = (1/2(-10))(x-2)+(1/2)(-10)

y = (1/-20)(x-2)+(-5)

y = 1/-20 (x-2) - 5

Answer:

[tex]P(X>12)=P(\frac{X-\mu}{\sigma}>\frac{12-\mu}{\sigma})=P(Z>\frac{12-14}{3})=P(z>-0.67)[/tex]

And we can find this probability with the complement rule and with the normal standard table we got:

[tex]P(z>-0.67)=1-P(z<-0.67)=1-0.2514=0.7486 [/tex]

Step-by-step explanation:

Let X the random variable that represent the components whose lenghts of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(14,\sqrt{9}=3)[/tex]  

Where [tex]\mu=14[/tex] and [tex]\sigma=3[/tex]

We are interested on this probability

[tex]P(X>12)[/tex]

And we can use the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(X>12)=P(\frac{X-\mu}{\sigma}>\frac{12-\mu}{\sigma})=P(Z>\frac{12-14}{3})=P(z>-0.67)[/tex]

And we can find this probability with the complement rule and with the normal standard table we got:

[tex]P(z>-0.67)=1-P(z<-0.67)=1-0.2514=0.7486 [/tex]

Answer:

The desired probability is P(X≥12), so subtract from 1 to get P(X≥12)=1−0.2525=0.7475.

Step-by-step explanation:

Answer:

153.86

Step-by-step explanation:

Do 3.14 times 7 to the power of 2

Hope this helps

Answer:

152.86

Step-by-step explanation:

To find the area of a circle you have to find the radius for this circle we have the diameter so to find the radius we divide the diameter: 14 by 2

14 / 2 = 7

Then we have to square 7

7^2 = 49

Then we multiply 49 by 3.14 or pi

3.14 * 49 = 153.86