YodelAir operates a charter jet service out of an airport in a secluded mountain ski resort. The chief safety officer for YodelAir uses a normal distribution with a
mean of 629 m and a standard deviation of 120 m to model the takeoff distance of the company's X15 jets in wintry weather.
Use this table or the ALEKS calculator to find the percentage of takeoff distances between 467 m and 611 m according to the model. For your intermediate
computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).

On solving the provided question we go to know that - Graph with points- (2,1) (0,3) (4,3) (x,y).

In mathematics, a function is an expression, rule, or law that establishes the connection between two variables (the dependent variable).

a unique connection where every input only has one output. Where x is the input value, it is frequently expressed as yields a single output [tex]"x/2,"[/tex]indicating that it is a function:[tex]* f(2) = 1.[/tex]

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Answer:

38

Step-by-step explanation:

The probability that the second is a club, given that the first is not a club is  0.1911

According to the question,

We have a ordinary deck

An ordinary deck contain 52 cards

Number of club an ordinary have = 13

Let the first event of not getting a club at first draw be "A"

and "B" for getting a club at second draw

P( not getting a club) = P(A) = 1 - P(getting a club)

=> 1 - 13/52

=> 39/52

Now , We are drawing card without replacement

Number of cards we have after first draw = 51

P(getting a club) = P(B) = 13 / 51

The probability that the second is a club, given that the first is not a club

P(A).P(A)=> 39/52 . 13/51

=> 507/2652

=> 0.1911

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Answer:

2

Step-by-step explanation:

Hii!

Answer:

2

Step-by-step explanation:

1+1=2

The greatest common factor of the given term is 26.

What is the greatest common factor?

The greatest factor that splits both numbers is said to be the greatest common factor. List the prime factors of each integer before calculating the greatest common factor.

The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization. You can obtain the necessary reduced form by determining the GCF of the denominator and numerator of a fraction or ratio.

Given, [tex]\frac{52}{78} = \frac{26*2}{26*3}[/tex]

So, the simplest form is [tex]\frac{2}{3}[/tex].

Hence, the greatest common factor is 26.

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According to the figure, the side congruent to line GK is line HL

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

Side -  Side - Side = SSS

Side - Angle - Side = SAS

Angle - Side - Angle = ASA

Angle - Angle - Side = AAS

Hypotenuse and one leg = HL

The problem requires the prove by Angle - Side - Angle = ASA to ensure that the the triangles are congruent

The Angle and sides used for the proof include

< F = < J

FL = JK

<  L = < K

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Answer:

  A.  HL

Step-by-step explanation:

You want to identify the side corresponding to GK in the figure showing congruent triangles.

The larger triangles on the left and right each have an angle marked with one arc, an angle marked with two arcs, and the segment between those angles marked with one hash mark. This identical marking of two angles and the side between them means you can declare the triangles congruent by the ASA (angle-side-angle) congruence postulate.

When we name the triangles in order of the number of marks on the angles (0–2 arcs), we find the congruence statement to be ...

  ∆HLF ≅ ∆GKJ

The segment of interest is GK, which is identified by the first two letters of its triangle designator in the congruence statement. The corresponding side is identified by the first two letters in the other triangle designator: HL.

  ∆HLF ≅ ∆GKJ

Side HL is congruent to GK.

__

Additional comment

Like a lot of math, this requires you to match patterns.

Answer:

$16.67

Step-by-step explanation:

$19.38*14%=$2.71

$19.38-2.71=$16.67

The statement that characterizes the outcome of the game is option d;

All of the above are correct.

Given,

The statements;-

a. Both Firm A and Firm B have a dominant strategy to advertise.

b. There is a Nash equilibrium when both firms advertise.

c. Although both firms collectively would earn higher profits by maintaining the agreement not to advertise, self-interest will cause each firm to break the agreement.

d. All of the above are correct

We have to find the correct statement that characterize the outcome of this game.

Here,

All the statement will characterize the outcome of this game. So correct answer is option d, All of the above are correct

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Answer:

--------------------------------------------------

Let the side of the square is x and side of the octagon is y.

Set equation for sides:

The perimeter of square is same as the perimeter of the octagon:

Simplify and then substitute:

Find x:

Answer:

Step-by-step explanation:

To find the average rate of change from 2 to 6, we can use the formula for the average rate of change, which is given by (y2 - y1) / (x2 - x1). In this case, the function we are working with is g(x) = x² - 1, so we need to plug in the values of x1 and x2 into the function to get the corresponding values of y1 and y2.

a) The average rate of change from 2 to 6 is given by:

(g(6) - g(2)) / (6 - 2)

Plugging in the values of x1 and x2 into the function g(x), we get:

(g(6) - g(2)) / (6 - 2) = (6² - 1 - 2² + 1) / (6 - 2) = (35 - 3) / 4 = 32 / 4 = 8

Therefore, the average rate of change from 2 to 6 is 8.

b) To find an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)), we need to first find the slope of the secant line. The slope of the secant line is given by the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points on the secant line.

In this case, the coordinates of the two points on the secant line are (-2, g(-2)) and (6, g(6)). Plugging these values into the formula for the slope, we get:

m = (g(6) - g(-2)) / (6 - (-2)) = (6² - 1 - (-2)² + 1) / (6 + 2) = (35 + 5) / 8 = 40 / 8 = 5

Now that we know the slope of the secant line, we can use the point-slope form of a line to write the equation of the secant line. The point-slope form of a line is given by the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of a generic point on the line.

In this case, we know that the point (-2, g(-2)) is on the secant line, and we know that the slope of the secant line is 5. Plugging these values into the point-slope form of a line, we get:

y - g(-2) = 5(x - (-2))

We can then simplify this equation to get:

y - (-2² - 1) = 5(x + 2)

y + 3 = 5x + 10

Finally, we can move all of the terms containing x to one side of the equation and all of the constant terms to the other side of the equation to get the standard form of the equation of the line:

y = 5x + 7

Therefore, an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)) is y = 5x + 7.

The given equation is solved to obtain Q = -1/21.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation is as below,

12/7Q - 1/21Q = Q - 2/3

It can be simplified as follows,

12/7Q - 1/21Q = Q - 2/3

=> 12/7Q - 1/21Q - Q = -2/3

=> (36 - 1 - 21)Q = -2/3

=> 14Q = -2/3

=> Q = -1/21

Hence, the solution of the given equation is -1/21.

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Missing part of the equation is 6.0 × [tex]10^{-8}[/tex] [tex]m^{3}[/tex].

It is given that students sets up the equation (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].

i.e. we have units of [tex]cm^{3}[/tex] and wants units of [tex]m^{3}[/tex] .

We know that 100 cm = 1 meter

i.e. 100cm/1 meter

⇒  [tex](100cm/1 meter)^{3}[/tex] = 1 × [tex]10^{6} cm^{3}/m^{3}[/tex]

⇒1/(1 × [tex]10^{6} cm^{3}/ m^{3}[/tex]) = (1 × [tex]10^{-6} m^{3}/cm^{3}[/tex])

We can use this new conversation factor to convert volume from [tex]cm^{3}[/tex] to [tex]m^{3}[/tex].

(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{-6} m^{3}/cm^{3}[/tex]) = (_) [tex]m^{3}[/tex]

(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{6} cm^{3}/m^{3}[/tex]) = 6.0 × [tex]10^{-8} m^{3}[/tex].

This is the required equation.

If we want to convert measurement,

to convert a smaller unit to a larger init, divide it by the number of smaller units which are needed to make larger unit. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

A conversation factor is a number used to change one set of units to another, by multiplying or dividing.

Given question is incomplete.

a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation  (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].

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The rate of hiking is 4 miles per hour.  The rate of driving is 40 miles per hour.

What is the mile?

Mile, any of various units of distance, such as the statute mile of 5,280 feet (1.609 km). It originated from the Roman mile passus, or “thousand paces,” which measured 5,000 Roman feet.

We have given,

A camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods. The camper's speed while driving was ten times that of the hiker. Three hours were spent driving and hiking together.

We have to determine the camper's hiking speed.

We know that,

Let x represent the increasing rate and 10x represent the driving rate

Time equation is

80/10x + 4/x = 3

Simplify

8/x + 4/x = 3

12/x = 3

x = 12/3

x = 4

Therefore, Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.

Hence, the rate of hiking is 4 miles per hour.  The rate of driving is 40 miles per hour.

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The smoothing constant is the correct option.

What is exponential smoothing?

The exponential window function is a general method for smoothing time series data known as exponential smoothing. Exponential functions are used to assign weights that decrease exponentially over time, as opposed to the simple moving average, which weights previous observations equally.

Forecasts using exponential smoothing are precise.

This method generates reliable and accurate forecasts that anticipate the following period.

Demand projections and actual demand are shown in the forecast. This makes it possible to effectively plan for demand, which leads to accurate inventory levels.

In exponential smoothing,  the higher the smoothing constant, the greater is the weight assigned to the values from the most recent  period.

Hence, the smoothing constant is the correct option.

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The equation, in standard form, that  represents the relationship between the number of lunches, x is 5x + y = 100. Option A

An equation is a mathematical statement that illustrates the equality of two things.

The given parameters are

Amount spent = x

Amount that remains = y

Total amount spent = 100

The difference between the amount spend is 5

This implies that 5(x) + y (1) = 100

Opening the brackets to have 5x + y = 100

In this case, we conclude that the best equation  in standard form, represents the relationship between the number of lunches, x, is 5x + y = 100

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The point slope form of the slope of escalator and distance is y-24 = 3/4(x-32).

The general point slope form is given by the equation -

y - y1 = m (x - x1)

Now we are given the slope as 3/4. So, keeping the values of y1 and x1 in the equation. Let us assume the points as (32, 24). As per the points, 32 is x1 and 24 is y1.

y - 24 = 3/4(x - 32)

y - 24 = 3x/4 - 3/4×32

Performing division on Right Hand Side of the equation

y - 24 = 3x/4 - 3×8

y - 24 = 3x/4 - 24

Rewriting the equation

y - 3x/4 = - 24 + 24

Solving the equation on Right Hand Side of the equation

y - 3x/4 = 0

y = 3x/4

Thus, the equation is y - 24 = 3/4(x - 32).

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The solution of the inequality will be;

⇒ 5.5 ≤ x

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 10 ≤ 2x - 1

Now,

Since, The inequality is,

⇒ 10 ≤ 2x - 1

Hence, Solve the inequality as;

⇒ 10 + 1 ≤ 2x - 1 + 1

⇒ 11 ≤ 2x

⇒ 5.5 ≤ x

Thus, The solution of the inequality will be;

⇒ 5.5 ≤ x

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If Joe deposits $264,954.31 today then he will reach his goal

Define Present Value

Finding the appropriate quantity of money to deposit today in order to ensure a specific amount of future payments is one objective of financial analysis. The target payment amount, the quantity and frequency of payments, and the interest rate all influence the present value, which is the value in today's dollars.

Given,

Joe want to receive each month = $22,000

Interest rate = 6%

number of payment = 22 years

We know, the formula of present value is

Present value = pmt * (1 - (1/ (1+r)ⁿ) ) / r

pmt = $22,000

r = 0.06

n = 22 years

Now, plug in the values

Present value = $22,000( 1 - (1/(1+0.06)²² ) / 0.06

                       =$22,000( 1 - (1/(1+0.06)²² ) / 0.06

                       ≈ $264,954.311

Hence, If Joe deposits $264,954.31 today then he will reach his goal.

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Answer:

Step-by-step explanation:

f vesadfc

If many random samples of size 30 are selected from the population of all customers, approximately 90% of the constructed intervals would capture the true mean time it takes for her employees to mow a lawn.

Thus, option (D) is correct.

A confidence interval represents a range of values that is likely to contain the true population parameter with a certain level of confidence.

The 90% confidence interval (40 to 55 minutes) suggests that if repeatedly take random samples of size 30 from the population and construct confidence intervals, about 90% of those intervals would contain the true mean time.

The confidence level gives us a measure of how confident we are in the estimate, indicating that in the long run, approximately 90% of the constructed intervals would capture the true mean time it takes for her employees to mow a lawn.

Thus, option (D) is correct.

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Answer:

Step-by-step explanation:

you have to use the vertex

The correct location of the point is (d) between Quadrant II and Quadrant III.

We must choose the response that accurately describes the position of the point whose coordinates have a negative abscissa and a zero ordinate.

Any point with a negative abscissa and a zero ordinate on the XY plane in two dimensions can be represented as

Where a > 0, (x, y) = (-a, 0).

Let's plot (-1, 0), (-2, 0), (-3, 0), etc. on the coordinate plane as an example. The corresponding figure illustrates this.

The figure shows that every point of the type (-a, 0) is located on the X-axis' negative side.

The location of the negative X-axis between Quadrants II and III is known. As a result, the supplied point is situated between Quadrants II and III.

the appropriate answer is (d).

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The sample required to estimate the mean per gallon within 0.5 miles per gallon with 95% confidence is 158.

Given:

You wish to conduct your own study to estimate the miles per gallon on a 2007 Ford Taurus.

How large a sample would you need to estimate the mean per gallon within 0.5 miles per gallon with 95% confidence  = ?

if you read in a previous study that the standard deviation of miles per gallon for a 2007 Taurus is 3.21.

we know that :

z value of 95% is 1.96

Margin of error = E = z × sd/√n

we have:

n = (z×sd/E)²

= 158.33

= 158

Hence we get the sample as 158

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For any confidence level C, the value of the sample proportion will always be considered a plausible value for p is a true statement.

For any given confidence level, the sample proportion of a given sample will always be within the range of values that are considered plausible for the population proportion. This range is determined by the confidence interval, which is calculated based on the confidence level C. Thus, the sample proportion will always be considered a plausible value for p.

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Answer:

daymn

it's gonna be okay

The mean of their times is x = 80.2 seconds, the same as that of the researcher, after analyzing the given data we conclude that none of the given condition is appropriate.

We can observe that the researcher wishes to put the theories to the test.

H0: = 80.2  = null hypothesis

Ha: > 80.2 = alternative hypothesis.

The population mean is 80.2 and the standard deviation is 4.

He discovered after testing a sample of 1000 students;

The sample size is 1000.

The sample mean is x = 80.2 .

Z value = 0 and p = 1 , hence , the result is not significant .

He can no longer draw any conclusions or provide evidence for this study because there is no population mean for aerobic activity and no significance value in the entire query to compare the p-value with.

As a result, none of the possibilities are correct.

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Answer:

dependent

Step-by-step explanation:

the probability of 0.697 is dependent upon Kaia scoring an 82, followed by an 85 on the other test

Check:  multiply 0.82 by 0.85 and your will get 0.697

Answer:

Jordan worked 18 hours lifeguarding and 15 hours walking dogs.

Step-by-step explanation:

To solve this problem, we can set up a system of two equations to represent the given information. Let "L" represent the number of hours Jordan worked lifeguarding and "W" represent the number of hours he worked walking dogs.

The first equation will represent the total amount of money Jordan earned:

13L + 10W = 177

The second equation will represent the difference in hours between the two jobs:

L - W = 3

We can solve this system of equations using either substitution or elimination.

Using substitution, we can solve for one variable in terms of the other and substitute that expression into the other equation to solve for the other variable.

Solving the second equation for L, we get:

L = W + 3

Substituting this expression for L into the first equation, we get:

(W + 3) + 10W = 177

Combining like terms, we get:

11W + 3 = 177

Subtracting 3 from both sides, we get:

11W = 174

Dividing both sides by 11, we get:

W = 15.818181818181818

Since the number of hours worked must be a whole number, we can round down to 15 hours. Substituting this value back into the equation L = W + 3, we get:

L = 15 + 3 = 18

Therefore, Jordan worked 18 hours lifeguarding and 15 hours walking dogs.

The vertices of a regular decagon can only ever give rise to a maximum of zero scalene triangles at any one time.

Generally, An isosceles triangle has two sides with the same length. There are 10 ways to choose the vertex that is common to the two equal sides, and for each of these choices, there are 5 ways to choose the other two vertices (since they must be distinct from the first). Therefore, there are a total of

10* 5*5=250 isosceles triangles.

To get the final count of scalene triangles, we use the principle of inclusion-exclusion by subtracting the number of isosceles triangles from the total number of triangles.

This gives us a final count of 120-250=-130.

However, since we cannot have a negative number of triangles, the final answer is 0.

Therefore, there are 0 scalene triangles that can be formed from the vertices of a regular decagon.

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