Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is roughly bell-shaped Click the icon to view the data set. Is the requirement of a normal distribution satisfied? A. No, because the histogram of the data is not bell shaped, there is more than one outlier, and B. Yes, because the histogram of the data is bell shaped, there are less than two outliers, and the C. Yes, because the histogram of the data is not bell shaped, there is more than one outlier, and D. No, because the histogram of the data is bell shaped, there are less than two outliers, and the the points in the normal quantile plot do not lie reasonably close to a straight line points in the normal quantile plot lie reasonably close to a straight line the points in the normal quantile plot do not lie reasonably close to a straight line points in the normal quantile plot lie reasonably close to a straight line Arrival delay times (minutes) 9 40 - 36 36 105 15- 45 45 27 32 24 5-30 38 2 16 -31 -21-45-30 9837 14 29 50 -44-37 41 - 4-2510 3 -27 6 -38 -26 -25

Answer:

The solutions to the quadratic equation involving square roots are:

\(x=2\sqrt{7}i+8,\:x=-2\sqrt{7}i+8\)

Step-by-step explanation:

Given the equation

\(\frac{1}{4}\left(x-8\right)^2+8=1\)

subtract 8 from both sides

\(\frac{1}{4}\left(x-8\right)^2+8-8=1-8\)

\(\frac{1}{4}\left(x-8\right)^2=-7\)

\(\left(x-8\right)^2=-28\)

\(\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

solving

\(x-8=\sqrt{-28}\)

\(x-8=\sqrt{-1}\sqrt{28}\)

\(x-8=\sqrt{28}i\)       ∵ \(\sqrt{-1}=i\)

\(x=2\sqrt{7}i+8\)

similarly solving

\(x-8=-\sqrt{-28}\)

\(x-8=-2\sqrt{7}i\)

\(x=-2\sqrt{7}i+8\)

Therefore, the solutions to the quadratic equation involving square roots are:

\(x=2\sqrt{7}i+8,\:x=-2\sqrt{7}i+8\)

As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.

In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.

The intersection of two sets contains only the elements that are present in both sets. In this case,

R ∩ S = {x | x > 0 and x < 3}

The integers that are present in this set are 1 and 2.

Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.

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Answer:

i think it is area of first triangle +area of rectangle + area of third triangle

Answer: X= 108125 and  Y  = 373125.

Step-by-step explanation:

Given system :

\(X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)\)

Consider (ii)

\(Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500\)

Multiply 10 on both sides , we get

\(10Y-X=265000 (iii)\)

Add (i) and (iii)

\(10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125\)

Put this in (i)

\(X= 33500+0.2(373125) =108125\)

Hence, X= 108125 and  Y  = 373125.

a) The constant of proportionality is given as follows: 0.5.

b) The equation is given as follows: y = 0.5x.

c) The graph would be the graph of a linear function with slope of 0.5 and intercept of 0.

d) 9 points are awarded for 18 minutes of play.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

For every 1 minute of play, the game awards one half point, hence the constant k is given as follows:

k = 0.5.

Thus the equation is given as follows:

y = 0.5x.

Then the number of points for 18 minutes of play is given as follows:

y = 0.5(18)

y = 9.

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Step-by-step explanation:

y=8tan60=8√3

x=8/cos60 = 8 × 2 =16

Answer:

Top Right: 26

Bottom Right: 16

Top Left: 36

Bottom Left: 20

Center: 26

Step-by-step explanation:

TR: 5 + 3 + 12 + 6 = 26

BR: 2 + 2 + 4 + 5 + 3 = 16

TL: 14 + 10 + 8 + 3 + 1 = 36

BL: 6 + 6 + 2 + 2 + 2 + 2 = 20

Center: 2 + 2 + 8 + 8 + 6 = 26

Answer:

Total cream = 34g

One application = 1 8/9 =(9+8)/9 = 17/9

Total applications = total cream/one application = 34/(17/9) = 34*9/17 = 18 applications

Step-by-step explanation:

Answer:

The solid formed by rotating the two-dimensional shape (which appears to be a right-angled triangle) about the line is a cone.

Answer:

identy the solid formed by

Answer:

Niamh gets 12 and Jack gets 24.

Step-by-step explanation:

4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.

Answer:Adam gets 12 and nidam gets 24..

Step-by-step explanation:feel pleasure to help u..

a) The given statement is False, we can have two events that are independent but not conditionally independent.

b)From the above statement we know that this statement is also False, as we can have two events which are conditional independent but not independent without condition.

Conditionally independent

Conditional independence in probability theory describes situations in which an observation is irrelevant or redundant when assessing the certainty of a hypothesis.

a) The given statement is False, we can have two events that are independent but not conditionally independent.

As an example, consider the following dice roll:

A = { 1, 2 }

B = { 2, 4, 6}

C = {1, 4}

P(A) = 2/6 = 1/3

P(B) = 3/6 = 1/2

P (A) P(B) = 1/6

P(A and B) = P(2 + B) = P(B) = 1/6

As a result, A and B are independent in this case.

Given for  C,

P(A | C) = P(A and C) / P(C) = 1/2 = 0.5

P(B | C) = P(B and C) / P(C) = 1/2 = 0.5

P(A and B | C) = 0

because C, A, and B cannot occur simultaneously.

Therefore A and B are independent here but not conditionally independent.

b) We know from the preceding statement that this statement is also False, because two events can be conditionally independent but not independently without a condition.

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Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

Answer:

81.60 is your selling price

Step-by-step explanation:

60% = 0.60

0.60 x 51 = 30.60

51 + 30.60 = 81.60

The first 2 years' depreciation expenses using the units of production method are $2,805 and $6,035, respectively.

Using the units of production method, we can calculate the depreciation expense based on the number of units the machine produces each year. To do this, we need to calculate the depreciation per unit of production first.

Depreciation per unit = (Purchase price - Residual value) ÷ Estimated total units of production

= (28,500 - 5,500) ÷ 115,000

= 0.17 per unit

Year 1 depreciation expense = Depreciation per unit x Units produced in year 1

= 0.17 x 16,500

= 2,805

Year 2 depreciation expense = Depreciation per unit x Units produced in year 2

= 0.17 x 35,500

= 6,035

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Answer:

11 people could enter for $100

Step-by-step explanation:

According to the information given:

$28=3 people

$20=2 people

so it goes up by 8 dollars for every person added

20-8= 16, the original fee, meaning the sequence formula would be:

8n+8 (n being the number of people)

if 8n+8=100

8n=92

n=11.5 rounded down would be 11

Answer:

942 square millimeters.

Step-by-step explanation:

The formula for the surface area of a cylinder is:

S = 2πr^2 + 2πrh

where S is the surface area, r is the radius, and h is the height.

Substituting the given values, we get:

S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5

S = 628 + 314

S = 942

Therefore, the surface area of the cylinder is 942 square millimeters.

There is one input being mapped into two different outputs, so this is not a function. The correct option is D.

A function is a relation that maps elements from one set (the domain) into elements from another set (the range). Such that each element from the domain can be mapped into only one element from the range.

In this case, the table is:

So, the input "12" appears twice, the first time is mapped into 300 miles, and the second time is mapped into 350.

So the same value from the domain is being mapped into two different values of the range, meaning that this is not a function. So the correct option is D.

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Bro Use SOH CAH TOA and you check through to now whether u use Cos, Sine or tan

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

Answer:

b i did it

Step-by-step explanation:

Answer:

The correct answer is graph C.

Step-by-step explanation:

❌On a coordinate plane, a line goes through points (negative 3, 0) and (0, negative 3).

- the first point needs to be swapped in order to form  x-3.  

❌On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).

- doesnt have a negative 3.

✔On a coordinate plane, a line goes through points (0, negative 3) and (3, 0).

- this answer has x as 0, and y as -3. which is equal to x-3.

I'm late but

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

To find the probability that the number x of correct answers is fewer than 4, we need to calculate the sum of the probabilities for x=0, x=1, x=2, and x=3, which can be written as:

P(x<4) = P(x=0) + P(x=1) + P(x=2) + P(x=3)

We can use the binomial probability formula to calculate each of these individual probabilities, with n=7 and p=0.2:

P(x=k) = (n choose k) * p^k * (1-p)^(n-k)

P(x=0) = (7 choose 0) * 0.2^0 * 0.8^7 = 0.2097

P(x=1) = (7 choose 1) * 0.2^1 * 0.8^6 = 0.3670

P(x=2) = (7 choose 2) * 0.2^2 * 0.8^5 = 0.3025

P(x=3) = (7 choose 3) * 0.2^3 * 0.8^4 = 0.1441

Therefore, the probability that the number x of correct answers is fewer than 4 is:

P(x<4) = P(x=0) + P(x=1) + P(x=2) + P(x=3)

= 0.2097 + 0.3670 + 0.3025 + 0.1441

≈ 0.9233

Rounding to four decimal places, the probability that the number x of correct answers is fewer than 4 is approximately 0.9233.

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Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

F(x,y) = ye^(x sin y + xy - sin x) + ∫sin ye^(x sin y + xy - sin x)dx is a solution to the original differential equation.

This is a first-order nonlinear differential equation, which is not separable or linear. However, it is possible to use an integrating factor to solve it.

The first step is to rearrange the equation into the standard form:

(y cos x + sin y + y)dx + (sin x + x cos y + x)dy = 0

Next, we need to identify the coefficient functions of dx and dy, which are:

M(x,y) = y cos x + sin y + y

N(x,y) = sin x + x cos y + x

Now we can find the integrating factor, which is defined as a function u(x,y) that makes the equation exact. The integrating factor is given by:

u(x,y) = e^(∫(N(x,y) - ∂M/∂y)dy)

where ∂M/∂y is the partial derivative of M with respect to y.

Evaluating this integral, we get:

u(x,y) = e^(∫(x cos y + x - cos x)dy) = e^(x sin y + xy - sin x)

Multiplying both sides of the original equation by the integrating factor, we get:

(e^(x sin y + xy - sin x) [y cos x + sin y + y])dx + (e^(x sin y + xy - sin x) [sin x + x cos y + x])dy = 0

This equation is exact, which means that there exists a function F(x,y) such that ∂F/∂x = M(x,y) and ∂F/∂y = N(x,y). We can find this function by integrating M with respect to x, while treating y as a constant, and then differentiating the result with respect to y:

F(x,y) = ∫(y cos x + sin y + y)e^(x sin y + xy - sin x)dx = ye^(x sin y + xy - sin x) + ∫sin ye^(x sin y + xy - sin x)dx

Now we can differentiate F with respect to y, while treating x as a constant, and compare the result with N:

∂F/∂y = xe^(x sin y + xy - sin x) + cos ye^(x sin y + xy - sin x) + e^(x sin y + xy - sin x)

= sin x + x cos y + x

Therefore, F(x,y) = ye^(x sin y + xy - sin x) + ∫sin ye^(x sin y + xy - sin x)dx is a solution to the original differential equation.

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Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

The point that is a solution to the system of inequalities y < −2x + 10 and y < 1/2x − 2 is point E at (4, -2). This is because point E satisfies both inequalities.

When we plug in the x and y values of point E into the first inequality, we get -2 < -2(4) + 10, which simplifies to -2 < 2, which is true.

When we plug in the x and y values of point E into the second inequality, we get -2 < 1/2(4) - 2, which simplifies to -2 < 0, which is also true. Therefore, point E is a solution to the system of inequalities.

For question 7, the correct answer is −10 < x < 35 and 0 < y ≤ 38. This is because the temperature must be between -10 and 35 degrees, and there must be between 0 and 38 people on the trip.

For question 8, the correct answer is 2x + 3y < 60. This is because a small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing, and the total time must be less than 60 hours.

For question 9, the correct answer is the graph with a dashed line f of x rising left to right that is shaded above and a dashed line that is falling g of x left to right that is shaded above.

This is because the solution to the system of inequalities is the area where both inequalities are true, which is the area where they have shading in common. In this case, it is the area above both dashed lines.

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Answer: 3c+3

Step-by-step explanation: