A certain flight transports over 1,000 passengers daily, and the airline is curious what proportion of passengers
on this flight don't use overhead bin space. They take an SRS of 40 of these passengers and find that 6 of them
don't use overhead bin space. The airline wants to use this data to create a one-sample z interval to estimate
the proportion of passengers on this flight don't use overhead bin space.
Which conditions for constructing this confidence interval did the sample meet?
Choose all answers that apply:
The data is a random sample from the population of interest.
nö > 10 and n(1-P) > 10
Individual observations can be considered independent.

Answer:

25[tex]\pi[/tex]

Step-by-step explanation:

[tex]\pi[/tex][tex]r^{2}[/tex]=area of circle

[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]=1/4 of the area of a circle

now solve

[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]10^{2}[/tex]

[tex]\frac{1}{4}[/tex][tex]\pi[/tex]100

25[tex]\pi[/tex]

Answer: #7  x=16  #9 x=27

Step-by-step explanation:

#7

This is an isosceles triangle, so the angles formed at the base of the congruent sides are equal.

5x-7=8x-55

48=3x

16=x

#9

This is an equilateral triangle (if 2 angles are 60, the third has to be 60 as well) so the sides are equal

7x+19=11x-89

108=4x

27=x

9514 1404 393

Answer:

  sin(X) = (√119)/12

  cos(X) = 5/12

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the relevant ratios.

  Sin = Opposite/Hypotenuse

  sin(X) = YZ/YX

  sin(X) = (√119)/12

__

  Cos = Adjacent/Hypotenuse

  cos(X) = XZ/XY

  cos(X) = 5/12

Answer:

48°

Step-by-step explanation:

All the angles in a triangle sum up to 180°.

Therefore,

x°+74°+58°=180°

→x°+132=180°

x°=180-132=48°

Answer:

(-8, -15) and (-8, 3)

Step-by-step explanation:

got it right on test

option 3 on edge21

Answer:

c on edge

Step-by-step explanation:

Answer:

Pvalue of 0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.

Step-by-step explanation:

The average weight of a package of rolled oats is supposed to be at most 18 ounces.

This means that the null hypothesis is:

[tex]H_{0}: \mu \leq 18[/tex]

Is the true mean larger than the specification?

Due to the question asked, the alternate hypothesis is:

[tex]H_{a}: \mu > 18[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

18 is tested at the null hypothesis:

This means that [tex]\mu = 18[/tex]

A sample of 18 packages shows a mean of 18.20 ounces with a sample standard deviation of 0.50 ounces.

This means that [tex]n = 18, X = 18.2, \sigma = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{18.2 - 18}{\frac{0.5}{\sqrt{18}}}[/tex]

[tex]z = 1.7[/tex]

Pvalue of the test:

Probability of finding a sample mean above 18.2, which is 1 subtracted by the pvalue of z = 1.7.

Looking at the z-table, z = 1.7 has a pvalue of 0.9554.

1 - 0.9554 = 0.0446

0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.

Answer:

Negative Association.

Step-by-step explanation:

Association between variables:

Association between variables can be classified as positive or negative.

Positive: Both move in the same direction, that is, either both increase or both decrease.

Negative: The variables move in opposite directions, one increases and the other decreases.

In this question:

As the first increases the second decreases, that is, they move in opposite directions, so it is a Negative Association.

Answer:

Is there supposed to be a picture?

Answer:

x+y =-6 you can write this equation

Answer:

6

Step-by-step explanation:

Answer:

w=12 L=27

Step-by-step explanation:

length is twice the width with additional 3 inches

12×2=24+3=27

12×27=324

Answer:

(a) MAE = 5.20

(b) MSE = 10

(c) MAPE = 38.60%

(d) Forecast for week 7 = 14

Step-by-step explanation:

Note: See the attached excel for the calculations of the Error, Error^2, and Error %.

(a) mean absolute error

MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20

(b) mean squared error

MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10

(c) mean absolute percentage error (Round your answer to two decimal places.)

MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%

(d) What is the forecast for week 7?

Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:

Forecast for week 7 = 14

Answer:

70°

Step-by-step explanation:

If arc BY is 40, angle BAY is 20.

BAC is 90.

90-20 is 70.

m<YAC=70

Answer:$451

Step-by-step explanation:

Answer:

he pay 12.50 in 60 min

Step-by-step explanation:

he pay x in 390 min

x=(12.50 x 390)÷ 60

x=4875 ÷60

x=81.25 £

he pay finally £81.25

Answer:

this simplified would be 2x+5y+15

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its roating clockwise 90 degrees

Answer:

Step-by-step explanation:

The answer is 4230

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

Answer:

20

Step-by-step explanation:

42 is the biggest and the smallest is 22 so 42-22 = 20!

Answer:

The answer is 43/10

Hope this helps

Answer:

60m2

Step-by-step explanation:

(12x4)+(4x3)=60

Please give brainliest if this helps :)

Answer:

368

Step-by-step explanation:

Answer:

3.50 loss of percent

Step-by-step explanation:

loss

------- ×100

c.p.

Answer:

2

Step-by-step explanation:

Answer:

2 solutions I believe. 2 different x values.

Answer:

Yes , this is the function

Step-by-step explanation:

Because every domain has their only one image

Answer:

Step-by-step explanation:

What is the radius of a circle whose diameter is 13 units? This means that the diameter is double the length of the radius. To find the radius, do: ∴, the radius is 13 2 units or 7.5 units.

Answer:

6.5dm

Step-by-step explanation:

Diameter is twice radius

radius =13÷2

radius =6.5dm