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

Answer:

0.982 mile

Step-by-step explanation:

1 mile = 5280 ft

h = (5183ft) *(1 mile/5280ft) = 0.982 miles

The height of Denver, Colorado above sea level rounded to three decimal places is 0.982miles.

Measurement is simply the process of associating numbers with physical quantities and events.

Converting measurements in foot to miles as;

1foot = (1/5280)miles

Given that;

Since 1foot = (1/5280)miles

5183ft = ( 5183 / 5280 )miles

5183ft = 0.982miles

Therefore, the height of Denver, Colorado above sea level rounded to three decimal places is 0.982miles.

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Answer:

Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.

Answer:

Odd.

Step-by-step explanation:

You don't need the point, its pretty much useless.

If its even, when you plug -x into the equation, it will stay the same

If its odd, when you plug -x into the equation, the signs will change

g(x) = [tex]x^{3}[/tex]    

Lets plug in -x.

g(x) = (-x)³

g(x) = -x³

The equation is different! That means the equation is odd!

Complete question is;

Type the correct answer in each box. Use numerals instead of words. Consider this quadratic equation. x² + 2x + 7 = 21 The number of positive solutions to this equation is . The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is

Answer:

The approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is 2.87.

Step-by-step explanation:

We are given the quadratic equation as;

x² + 2x + 7 = 21

Subtract 21 from both sides to give ;

x² + 2x + 7 - 21 = 0

x² + 2x - 14 = 0

Using quadratic formula, we cam find the roots of the equation.

x = [-b ± √b² - 4ac]/2a

Plugging in the values;

x = [-2 ± √(2² - 4(1*-14))]/2(1)

x = [-2 ± √(4 + 56)]/2

x = [-2 ± √60]/2

x = - 4.87 or 2.87

Thus, this equation has only one positive solution which is the greatest.

Thus, greatest solution is 2.87

Answer:

[tex]y = -9[/tex]

Step-by-step explanation:

The curve intersects the midline when effect of amplitude is annulled. The midline equation is of the form:

[tex]y = y_{o}[/tex]

The midline equation is:

[tex]y = -9[/tex]

Answer:

26.00 + 2x = y           14.00 + 4x = y

Step-by-step explanation:

depending on the amount of people in the car determines numbers of the equation so variables had to be placed instead.

Answer: 0 represents he stays in the same place

jdjejejeeeeeeeeeeeStep-by-step explanation:

Answer:

Blank 1) 150

Blank 2) (3)²

3) (4)²

4) (x+3)²

5) (y-3)²

6) (x+3)²+(y-3)² = 100

Answer: the slope is -3

Step-by-step explanation:

(Pls see pic for the work)

Answer:2

Step-by-step explanation:

So they are both equal right. They gave us what a is which was 2 so that means b must be 2 as well.

Hope I helped

Answer:

2

Step-by-step explanation:

The slope of line b is also 2 as they are parallel to eachother and parallel lines have equal slopes.

Answer:

Step-by-step explanation:

Answer:

the domain is "the set of all real numbers."

the range of the given function is (5, infinity)

Step-by-step explanation:

This is an exponential function.  For the sake of clarity you must enclose "x - 2" inside parentheses:  f(x) = 2(3)^(x-2).  This function is defined for all real x-values, so the domain is "the set of all real numbers."  

Focusing on  (3)^x:  This has the same shape as the basic exponential y = e^x; the graph starts in Quadrant II and increases with x, more and more rapidly as you pass x = 0.  The functions y = e^x and that of y = 3^x are always positive.  Likewise in the case of f(x) = 2(3)^(x-2):  the function is always positive.  If we look at f(x) = 2(3)^(x-2) alone, we conclude that the domain is (0, infinity).  But that " + 5 " in y=2(3)^(x-2) + 5 translates the entire graph of f(x) = 2(3)^(x-2) upward by 5 units.

Thus, the range of the given function is (5, infinity).

[tex] - 2 = \dfrac{3x}{5} + 1 | \times 5 \\ - 10 = 3x + 5 \\ - 3x = 15 | \div ( - 3) \\ x = - 5[/tex]

Answer:

  3.33×10⁴

Step-by-step explanation:

You can use the hint, or you can use a common exponent. Here is the latter case.

  (3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴

  = 3.33×10⁴

_____

With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...

  5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴

__

When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:

  (3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³

  = 33.3×10³ = 3.33×10⁴

Answer:

about 2.666 times

Step-by-step explanation:

you know that 80 days have past and it only takes 30 days for the population to double. if you do 80/30 you get 2.666 meaning that the population would of been 2.666 times greater.

The population be than after 30 days about 2.666 times greater.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; A population of insects can double in 30 days.

After 80 days, We need to find that how many times greater will the population be than after 30 days

We know that 80 days have past and it only takes 30 days for the population to double.

if we do 80/30 = 2.666 meaning that the population would of been 2.666 times greater.

Therefore, The population be than after 30 days about 2.666 times greater.

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Answer:

  the selected list is correct

Step-by-step explanation:

Negative numbers with larger magnitudes are smaller in value, so -2 is less than -1.5.

A fraction is smaller in value if it has a smaller numerator and the same denominator. It is also smaller in value if it has the same numerator and a larger denominator.

2/5 is smaller than 3/4 because it has both a smaller numerator and a larger denominator. So the ordering of the positive numbers is 2/5, 3/4.

The ordering you want is the one checked.

Answer:

11x-2

Step-by-step explanation:

(3x2 - 4x + 6) + (7x - 2) This is the breakdown. (6 4x + 6)= 4x. + (7x-2) = 11x-2

Answer:

  see below

Step-by-step explanation:

Corresponding letters (vertices) are in the same order in the similarity statement. That is, if L is the first letter in ∆LMN, then it corresponds to the first letter (R) in ∆RST. That is the meaning of ∆LMN ~ ∆RST.

3. Everywhere you see L, replace it with R.

  Everywhere you see M, replace it with S.

  Everywhere you see N, replace it with T.

This goes for both segments and angles.

__

4. Everywhere you see A, replace it with H.

  Everywhere you see B, replace it with G.

  Everywhere you see C, replace it with F.

  Everywhere you see D, replace it with E.

This goes for both segments and angles.

Answer:

(a) The probability distribution of the random variable X is Binomial.

(b) The mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c) The value of x is 0.34.

Step-by-step explanation:

The random variable X is defined as the number of correct answers given by a person who is guessing each answer on a 25-question exam.

There are five possible answer for every question.

This implies that the probability of getting a correct answer is:

P (X) = 0.20.

There are a total of n = 25 questions.

Every answer is independent of the others.

(a)

The random variable X has  finite number of independent trials (i.e. 25 questions). There are only two outcomes for each trial, i.e. Success = correct answer and Failure = wrong answer. Each trial has the same probability of success (, i.e. P (X) = 0.25).

Thus, the probability distribution of the random variable X is Binomial with parameters n = 25 and p = 0.20.

(b)

Compute the mean of the random variable X as follows:

[tex]E(X)=np\\=25\times 0.20\\=5[/tex]

Compute the standard deviation of the random variable X as follows:

[tex]SD(X)=\sqrt{np(1-p)}\\=\sqrt{25\times 0.20\times (1-0.20)}\\=2[/tex]

Thus, the mean and standard deviation of the 25-question test are 5 and 2 respectively.

(c)

The sample is large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 5

2. n(1 - p) ≥ 5

Check the conditions as follows:

[tex]np=25\times 0.20=5=5\\\\n(1-p)=25\times (1-0.20)=20>5[/tex]

Thus, a Normal approximation to binomial can be applied.

So,  [tex]X\sim N(5, 2^{2})[/tex]

It is provided that the minimum passing score foe the test is such that only 1% of students who are guessing will pass the test.

That is P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The value of z is -2.33.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-2.33=\frac{x-5}{2}\\\\x=5-(2.33\times 2)\\\\x=0.34[/tex]

Thus, the value of x is 0.34.

Answer:

  5.6

Step-by-step explanation:

We assume that 7 is the measure of the portion of the secant that is inside the circle between the circle and the intersection with the other chord.

The product of segment lengths on the same chord is a constant for chords that intersect at the same point. That is, ...

  10x = 8·7

  x = 56/10

  x = 5.6

_____

Comment on the geometry

If you draw the figure to scale, you find the geometry shown is impossible. The arc measures and chord lengths are incompatible.

There are six space shuttles with 8 people inside. Meaning, for every space shuttle, there are 8 people so multiply that by six to get the overall people who visited your planet (48)

Answer:

B,D

Step-by-step explanation:

The true statements are given below.

The land the Pentagon become first planned to head on become bordered on 5 aspects through roads, so the architects designed a five-sided building.

A pentagon is a geometrical form, which has 5 facets and five angles. here, “Penta” denotes five, and “gon” denotes attitude. The pentagon is one of the forms of polygons. The sum of all the indoor angles for a normal pentagon is 540 ranges.

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Answer:

  t ≈ 0.0664731

Step-by-step explanation:

Use the inverse sine function.

  sin(12t) = 141/197

  12t = arcsin(141/197)

  t = arcsin(141/197)/12

  t ≈ 0.0664731 . . . . . . . radians

__

This is the principal value. There are other solutions at values of t that have integer multiples of π/6 added to this. There are also solutions where any of those values is subtracted from π.

_____

In general, angles in math are assumed to be in radians, unless specified otherwise. This angle corresponds to about 3.81°. (In geometry, the usual assumption is that angles are measured in degrees.)

Answer:

(6x)*(4x^7) = (6*4)*(x*x^7) = 24*x^8

(6x)*(4x^7) = 24*x^7 is wrong in calculation of x

Hope this helps!

:)

Answer:

Nothing is wrong with it

x= 1

Step-by-step explanation:

It has a solution; here is the solution.

(6x)(4x^7) = 24 x^ 7

x * 24x^7= 24x^7

x = 24x^7 / 24x^7

x = 1

Answer:

a) The null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

b) Yes.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of all NYC residents that can name a player on the Knicks differs from the proportion of all Toronto residents who can name a player on the Raptors.

As the claim is that the proportions differs, the difference to reject the null hypothesis can be positive or negative. Then, this is a two-tailed test.

The null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]

The conditions to met for this test are:

- The sampling method for each population is simple random sampling.

- The samples are independent.

- Each sample includes at least 10 successes and 10 failures.

[tex]\text{Failures (NY):} \, F=200*0.45=90\\\\\text{Failures (T):} \, F=120*0.3=36\\\\\text{Note: we use failures as they have the lower proportions.}[/tex]

- Each population is at least 20 times as big as its sample.

This conditions are met, so all criteria for the hypothesis test is satisfied.

Answer:

Please read the complete procedure below:

Step-by-step explanation:

You have the following initial value problem:

[tex]y'+2y=4t\\\\y(0)=8[/tex]

a) The algebraic equation obtain by using the Laplace transform is:

[tex]L[y']+2L[y]=4L[t]\\\\L[y']=sY(s)-y(0)\ \ \ \ (1)\\\\L[t]=\frac{1}{s^2}\ \ \ \ \ (2)\\\\[/tex]

next, you replace (1) and (2):

[tex]sY(s)-y(0)+2Y(s)=\frac{4}{s^2}\\\\sY(s)+2Y(s)-8=\frac{4}{s^2}[/tex]  (this is the algebraic equation)

b)

[tex]sY(s)+2Y(s)-8=\frac{4}{s^2}\\\\Y(s)[s+2]=\frac{4}{s^2}+8\\\\Y(s)=\frac{4+8s^2}{s^2(s+2)}[/tex] (this is the solution for Y(s))

c)

[tex]y(t)=L^{-1}Y(s)=L^{-1}[\frac{4}{s^2(s+2)}+\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+L^{-1}[\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}[/tex]

To find the inverse Laplace transform of the first term you use partial fractions:

[tex]\frac{4}{s^2(s+2)}=\frac{-s+2}{s^2}+\frac{1}{s+2}\\\\=(\frac{-1}{s}+\frac{2}{s^2})+\frac{1}{s+2}[/tex]

Thus, you have:

[tex]y(t)=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}\\\\y(t)=L^{-1}[\frac{-1}{s}+\frac{2}{s^2}]+L^{-1}[\frac{1}{s+2}]+8e^{-2t}\\\\y(t)=-1+2t+e^{-2t}+8e^{-2t}=-1+2t+9e^{-2t}[/tex]  

(this is the solution to the differential equation)

Answer:

Check the explanation

Step-by-step explanation:

a. there are two categorical variables here:

region with two level : China and US

and cooperation with two level : Defect and cooperate.

b. Chi-square test for association can be used here since the variables are categorical in nature.

Chi-Square Test for Association: C6, Worksheet columns

Rows: C6 Columns: Worksheet columns

defect cooperate All

China 31 36 67

39.54 27.46

US 41 14 55

32.46 22.54

All 72 50 122

Cell Contents: Count

Expected count

Pearson Chi-Square = 9.985, DF = 1, P-Value = 0.002

Likelihood Ratio Chi-Square = 10.231, DF = 1, P-Value = 0.001

Relax this isn't really that hard. We're given a triangle with coordinates

X(4,4), Y(12,12), Z(4,12)

and we're told to dilate it around the origin by scale factor 1/4.   The origin part makes it easy; this just means we multiply all the coordinates by 1/4.

So our new triangle is

X'(1,1), Y'(3,3), Z'(1,3)

which we plot in red.

Is that third page asking for the lengths?  We have

X'Y' is the hypotenuse of a right triangle with legs 2 and 2, so

|X'Y'| = 2√2

|Y'Z'| is 3-1 = 2

|Z'X'| = 2

The rule is

(x,y) → (x/4, y/4)

Scale factors are used to enlarge or reduce the size of a shape

The coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

The coordinates of the triangle are given as:

[tex]X = (4,4)[/tex]

[tex]Y = (12,12)[/tex]

[tex] Z = (4,12)[/tex]

The scale factor of dilation is given as:

[tex]k=\frac 14[/tex]

The coordinates of the new triangle after dilation are calculated as follows:

[tex]X' = (4,4) \times \frac 14[/tex]

[tex]X' = (1,1)[/tex]

[tex]Y' = (12,12) \times \frac 14[/tex]

[tex]Y' = (3,3)[/tex]

[tex]Z' = (4,12) \times \frac 14[/tex]

[tex]Z' = (1,3)[/tex]

So, the dilation rule is:

[tex](x,y) \to \frac 14(x,y)[/tex]

Hence, the coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

See attachment for the image of the triangle

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Answer:

i think it is 5/12???

I hope i am right :C, if not you can delete this answer

Answer: Circumference of cake board is 35π cm.

Step-by-step explanation:Since we have given that

Diameter of a round cake = 30 cm

Diameter of a cake board is 5 cm longer than the diameter of a round cake.

So, Diameter of a cake board = 30+5=35 cm

So, radius of a cake board will be

As we know the formula for " Circumference of Circle ":

So, According to question, we get,

Hence, Circumference of cake board is 35π cm.

Answer: 35π cm

Step-by-step explanation: