A study suggests that airlines have increased restrictions on cheap fares by raising overnight requirements (The Wall Street Journal, August 19, 2008). This would force business travelers to pay more for their flights, since they tend to need the most flexibility and want to be home on weekends. Eight months ago, the overnight stay requirements were as follows:
One night Two nights Three nights Saturday night
37% 17% 28% 18%
A recent sample of 644 flights found the following restrictions:
One night Two nights Three nights Saturday night
117 137 298 92
1. Calculate the value of the test statistic.
2. At a 5% significance level, what is the critical value?

Answer:

C

Step-by-step explanation:

A is just the opposite value of the second integral.

B is just 3 times the first.

D-you can write a sum of integrals over the same intervals as one integral of the sum of the integrands of those integrals over that same interval. The answer would be 3(8)+-2.

For choice C, we would need more information.

Answer:

[tex] {a}^{3} - {b}^{3} [/tex]

[tex] = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]

Hence, simplified.

Answer: 30 & 40

Step-by-step explanation:

Answer:

two points in the xy plane has cartesian coordinate (2,-4) and (-3,3) where the units are in m determine.

a) the distance between these points and

b) their polar coordinates.

Answer:

The intermediate step is determining what a is, knowing also that (x+a)²=x²+(2a)x+a².

Also, x²-16x= -68 (in the form (x+a)²=b) is (x-8)²=-4

Step-by-step explanation:

x²-16x=-68

x²-16x+68=0

I suppose the intermediate step is finding (x+a)².

Remember that (x+a)²=x²+(2a)x+a², so 'a' will be half the coefficient of x (number beside x, not x²). The coefficient of x here is -16, so a is -8.

(x-8)²=x²-16x+64

So, if we can create 'x²-16x+64' out of 'x²-16x+68', we'll be on our way:

x²-16x+68=0

(x²-16x+64)+4=0

(x-8)²+4=0

(x-8)²=-4

Answer:

f(x+2) = 3(x+2)^2 + 2(x+2) + 1

Step-by-step explanation:

Replace x with x+2 and you get the solution above. Hope this helps!

Answer:

I would say to look on alpha calculator to get any help if anyone dosent answer this!!

Step-by-step explanation:

Answer:

18/35....

....

YESTERDAY

Answer:

D. - 1/4

Step-by-step explanation:

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

Mean of 36 hours and a standard deviation of 5.5 hours.

This means that [tex]\mu = 36, \sigma = 5.5[/tex]

a. What can you say about the shape of the distribution of the sample mean?

By the Central Limit Theorem, it is approximately normal.

b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Sample of 9 means that [tex]n = 9[/tex]. So

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333[/tex]

The standard error of the distribution of the sample mean is 1.8333.

c. What proportion of the samples will have a mean useful life of more than 38 hours?

This is 1 subtracted by the pvalue of Z when X = 38. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{38 - 36}{1.8333}[/tex]

[tex]Z = 1.09[/tex]

[tex]Z = 1.09[/tex] has a pvalue of 0.8621

1 - 0.8621 = 0.1379

0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d. What proportion of the sample will have a mean useful life greater than 34.5 hours?

This is 1 subtracted by the pvalue of Z when X = 34.5. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{34.5 - 36}{1.8333}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061.

1 - 0.2061 = 0.7939

0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.

e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?

pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So

0.8621 - 0.2061 = 0.656

0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Answer:

Yes.  The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).

Step-by-step explanation:

a) Data and Calculations:

Number of 16-year-old males involved in driver accident during year 2000 = 210

Sample number of drivers = 1,000

National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)

Random sample of 16-year-old male drivers in a Midwest city = 150

Number of them involved in driver-accidents = 25

Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%

The city's 16.7% proportion is lower than the national proportion of 21%.

Answer:

False

True

True

False

Yw hope this helped yall

Step-by-step explanation:

The equation represents this situation is

3x + 1/2 x (3x + - 17) = x + (3x - 17 ) + 20 — False

x = 40 — True

Brinley and Seth exercised for a combined 95 minutes —-True

Mackenzie exercised for 26 minutes. — False

Answer:

Step-by-step explanation:

use the distance formula

dist = sqrt[ (x2-x1)^2 + (y2-y1)^2 ]

where point one ,P1,  is A and point 2, P2,  is C, so

P1 = (x1,y1) = (-7,3)

P2 =(x2,y2) = (0,6)

then

dist = sqrt[ (0 - (-7))^2 + (6-3)^2 ]

dist = sqrt [ 7^2 + 3^2 ]

dist = sqrt [49 +9 ]

dist = sqrt [58]

dist = 7.6157....

AC = 7.6 ( rounded to nearest tenth)

Answer:

f(x)=x-5/3x

Step-by-step explanation:

Answer:

<x=22.02431284 degrees

Step-by-step explanation:

sin(x)=3/8

sin^-1(3/8)=<x

<x=22.02431284 degrees

9514 1404 393

Answer:

  405 mph; 325 mph

Step-by-step explanation:

The total of their speeds is ...

  2920 mi/(4 h) = 730 mi/h

If s represents the speed of the slower plane, then we have ...

  s + (s+80) = 730

  2s = 650 . . . . . . .  subtract 80

  s = 325 . . . . . . . divide by 2

  s+80 = 405 . . .  find the faster speed

The speeds of the planes are 405 mi/h and 325 mi/h.

Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

Answer:

hope it helps...

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

Answer:

d. D: (-∞ , ∞) , R: (-10 , ∞)

Step-by-step explanation:

Answer:

5/20 x 4/15 =1/15

6/7 x 7/6 =1

2 x 7/10 =7/5

Hope this helps!

Answer:

0.047

Step-by-step explanation:

The computation of the probability is shown below:

P(dying) = 1 ÷ 150

So,

P(living) = 149 ÷ 150

As There are 120 women.

Now

P(x>=3) = 1 - [P(x=0) + P(x=1) + P(x=2)]

= 1 -[(120 = 0)((1 ÷ 150)^0)((149 ÷ 150)^120) + (120 = 1)((1 ÷ 150)^1)((149 ÷ 150)^119) + (120 = 2)((1 ÷ 150)^2)((149 ÷150)^118)]

P(x>=3)

=0.047

Answer:

We expect 95% of head breadths to be between 4.3 inches and 7.5 inches.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 5.9 inches, standard deviation = 0.8 inches.

We expect 95% of head breadths to be between

Within 2 standard deviations of the mean, so:

5.9 - 2*0.8 = 5.9 - 1.6 = 4.3 inches

5.9 + 2*0.8 = 5.9 + 1.6 = 7.5 inches

We expect 95% of head breadths to be between 4.3 inches and 7.5 inches.

Answer:

B. y = 3x - 14

Step-by-step explanation:

Since the line is parallel, your slope will be 3. You're given a point, so you can use point-slope form to find the equation. Point-slope form is:

y - y1 = m(x - x1) where (x1, y1) is the point that they gave you and m is the slope. So:

y - (-2) = 3(x - 4) --> Start to simplify this by changing - (-2) to +2 and distributing the 3 to (x - 4).

y + 2 = 3x - 12 --> Subtract 2 from both sides.

y = 3x - 14

Answer:

Ok tell me which mathematic game

Answer:

5 mph

Step-by-step explanation:

Answer:

15 mph = rate of boat in still water

Step-by-step explanation:

D = RT

Let R = rate of boat in still water

Rate down stream = R + 5

Time down stream = 20/(R + 5)

Rate upstream = R - 5

Time upstream = 20/(R - 5)

Total time = 20/(R + 5) + 20/(R - 5) = 3

                    20(R - 5) + 20(R + 5) = 3(R + 5)(R - 5)

                     20R - 100 + 20R + 100 = 3R^2 - 75

                                  3R^2 + 40R - 75 = 0

                                  (3R + 5)(R - 15) = 0

                                      R = -5/3  or  15

Rate cannot be negative, so R = 15 mph = rate of boat in still water  

Answer:

Explain what?? May I ask