In an application to etimate the mean number of mile that downtown employee commute to work round trip each day, the following information i given: n = 20 = 4. 33 = 3. 50 The point etimate for the true population mean i

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

Answer:

4 answers

Step-by-step explanation:

y = |x² - 4|

3 = |x² - 4|

3 = x² - 4     and -3 = x² - 4

3+4=x² - 4 + 4          and -3+4=x² - 4 + 4

7=x² and 1=x²

x=\(\sqrt{7}\) and x=-\(\sqrt{7}\) since x²=7

x=-1 and x=1 since x²=1

x= -\(\sqrt{7}\), \(\sqrt{7}\), -1, 1 ==> 4 answers

Answer:

con you be more organized on how you post the question will answer if fixed

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

Distribute the '+' into the '-' and simplify:  

-5+9+(-5)+(-10)+(1) =

-5 + 9 - 5 - 10 + 1 =

-10

Answer:

Step-by-step explanation:

\( \sf{ - 5 + 9 + ( - 5) + ( - 10) + 1}\)

When there is a ( + ) in front of an expression in parentheses, the expression remains in same.

⇒\( \sf{ - 5 + 9 -5 - 10 + 1}\)

Calculate

⇒\( \sf{ 4 - 5 - 10 + 1}\)

⇒\( \sf{ - 1 - 10 + 1}\)

⇒\( \sf{ - 11 + 1}\)

⇒\( \sf{ - 10}\)

Hope I helped!

Best regards!!

Therefore, a sailfish would travel 51 miles in 45 minutes if it maintained a speed of 68 miles per hour in the equation.

To calculate the distance traveled in a given time, we can use the formula distance = rate x time, where rate refers to the speed of travel and time refers to the duration of travel. In this scenario, we are given a rate of 68 miles per hour and a time of 45 minutes.

To use the formula, we first need to convert the time to hours since the rate is given in miles per hour. We do this by dividing the time by 60, since there are 60 minutes in an hour. In this case, 45 minutes divided by 60 minutes per hour gives us 0.75 hours.

Now, we can plug in the values for rate and time into the formula and solve for distance. Multiplying 68 miles per hour by 0.75 hours gives us a distance of 51 miles.

45 minutes / 60 minutes per hour = 0.75 hours

Then, we can use the formula: distance = rate x time

distance = 68 miles per hour x 0.75 hours

distance = 51 miles

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Answer:

See below

Step-by-step explanation:

15)

In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is \(x\).

\(180 = 44 + 90 + x\)

\(180 = 134 + x\)

\(x= 46\)

The angle \(y\) of the other triangle plus the angle \(x\) of the right-angle triangle is equal to 90º, therefore they are complementary angles.

So,

\(90 = x + y\)

\(90 = 46 + y\)

\(y=44\)

To find ?, we have

\(180 = 58 + 44 +?\)

\(180 = 58 + 44 +?\)

\(? =78\)

16)

The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is

\(180 = x + 50 + 25\\180 = x+ 75\\x=105\)

Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have

\(180 = 36 + 105 + y\)

\(180 = 141+ y\)

\(y=39\)

\(?=39\)

Answer:

Step-by-step explanation:

The solution of linear system of equations is the point of intersection of the lines.

Closer view of the graph gives us the point ( - 2, 6 ). See the attached.

Add vertical and horizontal lines from the point of intersection and take the closest values to the integer numbers on the x-axis and the y-axis. The numbers are -2 on the x-axis and 6 on the y-axis, therefore the answer is (- 2, 6).

The matching choice is B.

Answer:

$6.60

Step-by-step explanation:

Answer:

$6.6

Step-by-step explanation:

We add the amount he paid,

($87.21 + $5.64) - $15.00 + 55.25

We will get ,

$92.85 - $15.00 + $55.25

Then,

$77.85 + $55.25

We will get,

$133.10, the subtract the $133.10 from his original balance and get

$126.50 - $133.10 = $-6.6

He will need to deposit $6.6 to get his account to $0 balance

Answer:

\( 7 \: {ft}^{2} \)

Step-by-step explanation:

Area of the trapezoidal table

\( =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2\)

\( = 7 \: {ft}^{2} \)

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

Answer:

Follow the lines

Step-by-step explanation:

Follow what the lines go with what the table has.

To make this really easy, find the slope of the line

To do this you find an easy point.

Ex. x=3 and y= 150

then take it into a slope y-intersept formula

y= mx

150= 3x

50 = x

so for every time x goes up one interval, y increases at a rate of 50.

And for y, do the opposite, for every 50 y, x goes up 1.

By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)

y= 50x is ur slope/formula

(Ill leave the rest for you to answer with this data above ;) )

Hope This Helps :)

The congruence theorem that justifies Step 5 is given as follows:

SAS.

The similar triangles in this problem are given as follows:

RQP and SQP.

We are given that:

Due to the definition of bisector, we have that:

<QRP = <SQP

(as the bisection divides the angle into two segments of equal part.

Then in Step 4, by the reflective property of congruence, the side length QF is congruent to itself.

Then we have that each triangle two sides, along with the angle between them, that are congruence, hence the Side-Angle-Side (SAS) congruence theorem was used, meaning that the first option is correct.

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Step-by-step explanation:

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = \( \frac{-29}{1} \)

x = -1

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

Could the answer be A?

Because here I found the solution of equations A, C, and D.

Whereas the questions must choose the one that has a solution.

#CMIIW ^^

All the expression given in the option has one solution for variable x.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Solve all the equations for the value of variable x,

Option A:-

-13x + 12 = 13x + 13

-13x - 13x = 13 - 12

-29x = 1

x = -1 / 29

Option  B:-

12x + 12 = 13x + 12

12x - 13x = 12 - 12

-x = 0

Option C:-

-13x + 12 = 13x - 13

-13x - 13x = -13 - 12

-x = -25

x = 25

Option  D:-

12x + 12 = 13x - 12

12x - 13x = -12 - 12

-x = -24

x = 24

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Answer: yes

Step-by-step explanation:

The Gini index corresponding to the Lorenz curve L(x) = x¹² is 0.6. 35% of the total income is received by approximately 18.42% of the population.

The Lorenz curve represents the cumulative distribution of income across a population, while the Gini index measures income inequality. To calculate the Gini index, we need to find the area between the Lorenz curve and the line of perfect equality, which is represented by the diagonal line connecting the origin to the point (1, 1).

In the given Lorenz curve L(x) = x¹², we can integrate the curve from 0 to 1 to find the area between the curve and the line of perfect equality. By performing the integration, we get the Gini index value of 0.6. This indicates a moderate level of income inequality.

To determine the percentage of the population that receives 35% of the total income, we analyze the Lorenz curve. The x-axis represents the cumulative population percentage, while the y-axis represents the cumulative income percentage.

We locate the point on the Lorenz curve corresponding to 35% of the total income on the y-axis. From this point, we move horizontally to the Lorenz curve and then vertically downwards to the x-axis.

The corresponding population percentage is approximately 18.42%.

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Three pοints οn the line are: (0,0), (1,30), and (2,60)

When yοu knοw the slοpe οf the line tο be investigated and the given pοint is alsο the y intercept, yοu can utilise the slοpe intercept fοrmula, y = mx + b. (0, b). The y value οf the y intercept pοint is denοted by the symbοl b in the fοrmula.

Tο sοlve the prοblem, we can start by using the fοrmula fοr the equatiοn οf a line in slοpe-intercept fοrm:

y = mx + b

We can use the given infοrmatiοn tο find the slοpe:

m = tοtal distance / number οf days = 150 miles / 5 days = 30 miles/day

b = 0 miles

Therefοre, the equatiοn οf the line representing the tοtal distance Ms. Ibrahim travels fοr wοrk in x days is:

y = 30x

When x = 0 (i.e., when Ms. Ibrahim dοes nοt wοrk), y = 0.

When x = 1 (i.e., οn the first day), y = 30 miles.

When x = 2 (i.e., οn the secοnd day), y = 60 miles.

Sο, three pοints οn the line are: (0,0), (1,30), and (2,60)

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Answer:

Car insurance. You pay monthly, hoping that you never get into a crash. If you do, it pays for repairing or replacing your car, and/or the other car/s involved.

Routine maintenance. Every 35,000 miles driven (or so), you need new tires. Every 3-5,000 miles driven, you need to get the oil changed. You need to replace brake pads, windshield wipers, etc.

Gasoline. The price varies, and depending on how big your car's engine and gas tank is, that can get very expensive.

Unplanned repairs. Dead battery, car overheats. You have to get the car fixed so you can get to work/school.

The 95% confidence interval for the proportion of homes sold by a real estate agent, based on a survey of randomly selected home sellers in Illinois, is 69% to 81%.

The confidence interval provides us with a range of values within which we can be confident that the true proportion of homes sold by a real estate agent in Illinois lies. In this case, the confidence interval of 69% to 81% indicates that, based on the sample of home sellers surveyed, we can be 95% confident that the proportion of homes sold by a real estate agent in Illinois is somewhere between 69% and 81%.

It is important to note that this confidence interval is specific to the sample of home sellers surveyed and does not necessarily represent the entire population of home sellers in Illinois. However, based on the observed data, there is a high level of confidence that the true proportion lies within the given range.

This confidence interval does not imply that 95% of all homes in Illinois are sold by a real estate agent. It is a statement about the precision and reliability of the estimate obtained from the sample. Additionally, it does not provide information about the frequency of homes being sold by real estate agents in different years. The interval represents the variability and uncertainty associated with estimating the true proportion based on the sample data.

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Answer:

f(x) / g(x) = 8^x / 9 --> B

Step-by-step explanation:

You just need to plug in the values

Answer:

B. 8^2/-9

Step-by-step explanation:

I think the first guy is right

The slope intercept form has the next form

We have

we need to isolate the y

ANSWER

y=3x-3

Answer:

3:2

Step-by-step explanation

18:12, divide both by 6, 18/6=3, 12/6=2, ratio simplified is 3:2

Answer:

Step-by-step explanation:

12:18

2:3

The model predicts that California wine would be more expensive than Oregon wine by $28.00.

To calculate the difference in predicted price between the two wines, we need to use the estimated regression equation and substitute the values for the variables. Let's say our estimated regression equation is:

Price = 50 + 2.5(Rating) + 10(California) - 8(Oregon)

Both wines have a rating of 90, so we can substitute that value in:

Price of California wine = 50 + 2.5(90) + 10(1) - 8(0) = 295

Price of Oregon wine = 50 + 2.5(90) + 10(0) - 8(1) = 267

Therefore, the predicted price of California wine is $295 and the predicted price of Oregon wine is $267. The difference between the two is $28.00.

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To calculate the number of four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit, we need to consider the following:

1. Selecting the suits: There are 4 suits in a deck (hearts, diamonds, clubs, and spades). We need to choose two suits out of these four.

2. Selecting the two cards of one suit: Once we have chosen the two suits, we need to select two cards from one of the chosen suits. There are 13 cards in each suit, so we can choose 2 cards from the 13 available.

3. Selecting the two cards of another suit: After selecting the first suit, we need to choose two cards from the remaining suit. Again, there are 13 cards to choose from.

To calculate the total number of four-card hands satisfying these conditions, we multiply the number of choices at each step. Therefore, the total number of such hands is:

4C2 * 13C2 * 13C2 = (4! / (2! * 2!)) * (13! / (2! * 11!)) * (13! / (2! * 11!))

= 6 * (13 * 12 / (2 * 1)) * (13 * 12 / (2 * 1))

= 6 * 78 * 78

= 36,432.

Therefore, there are 36,432 four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit.

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Answer:

There are 6

Step-by-step explanation:

There are two within each circle.

Answer: 18.84 radians

Step-by-step explanation:

As the cost of producing smartphones has fallen over the past decade, several implications and effects on the market for smartphones can be observed:

1. Lower prices: Falling production costs have led to lower prices for consumers, making smartphones more affordable and accessible to a broader population.

2. Increased demand: Lower prices have also resulted in increased demand for smartphones, as more people can now afford them. This has led to a higher sales volume in the market.

3. Market expansion: The accessibility and affordability of smartphones have led to market expansion, as smartphones become more prevalent in both developed and developing countries.

4. Greater competition: The lower production costs have enabled more companies to enter the smartphone market, increasing competition and leading to more product variety for consumers.

5. Innovation and improvement: Due to the increased competition, companies are constantly seeking ways to differentiate their products through innovative features, improved design, and better performance.

Overall, the falling production costs of smartphones have positively impacted the market by lowering prices, increasing demand, and driving innovation and competition.

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

Start with equation,

         y''(x) = f(x) = 6y/(10x-x²)               about point x₀ = 5

Then,

       y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….

by inspection,

           y(5) = a₀      and       y'(5) = a₁

then,

y''(5) = 6a₀/(50-25) = 6a₀/25              

y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2

then,                      

                              y'''(5) = 6a₁/25 - 0 = 6a₁/25                

y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³

then,

    y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0

              = 48a₀/625

So,

y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …

                                                       or

y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...

                                                         or

y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....

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Answer:

B

Step-by-step explanation:

The pattern is square numbers so

1, 4, 9, 16, 25

A probability distribution is a function that describes the likelihood of different outcomes in a random event or experiment.

(a) To find the distribution of R-n, we first need to find the joint distribution of the sample. Let Y = log(X), then the density function of Y is given by:

g(y) = f(e^y) * |(dx/dy)| = (1/2) * e^(-e^y) * e^y = (1/2) * e^(-e^y)

for y > 0.

Then the joint density function of Y1, Y2, ..., Yn is given by:

g(y1, y2, ..., yn) = ∏ g(yi) = (1/2^n) * exp(-∑ e^yi), y1 > 0, y2 > 0, ..., yn > 0.

Let Z = min(Y1, Y2, ..., Yn) and W = Y1 + Y2 + ... + Yn. Then we have:

Z = min(Y1, Y2, ..., Yn) = Y(n+1) (since Y is a decreasing function of X)

W = Y1 + Y2 + ... + Yn

Note that W follows the gamma distribution with shape parameter n and scale parameter 1, since the density function of Y is the same as the exponential distribution with mean 1. Thus,

fW(w) = (1/Γ(n)) * w^(n-1) * e^(-w)

for w > 0.

Now we can use the probability distribution transformation method to find the distribution of R-n = (n-1)W/Z:

First, we need to find the joint density function of W and Z:

g(w, z) = g(y1, y2, ..., yn) * |(dy1dy2...dyn/dwdz)|

= (1/2^n) * exp(-w) * n * e^(-z) * (e^z)^(n-1) * [(n-1)e^z]^(n-2) * e^z * [(n-1)e^z - w]^(1-n)

= n(n-1) * e^(-w-z) * w^(n-2) * z^(-n+1) * [(n-1)e^z - w]^(1-n), w < z/(n-1)

Then, we can find the distribution of R-n as follows:

P(R-n < r) = P((n-1)W/Z < r)

= P(W < rZ/(n-1))

= ∫∫g(w, z)dw dz, 0 < w < rZ/(n-1), w < z/(n-1)

After integrating out w, we get:

P(R-n < r) = ∫r/(n-1)^2 z^n e^-z/n dz, 0 < z < ∞

= 1 - Γ(n, r/(n-1)),

where Γ(a, x) is the upper incomplete gamma function.

Therefore, the distribution of R-n is a beta distribution with parameters (n-1, 1):

fR-n(r) = (n-1) * (1-r)^(n-2), 0 < r < 1.

(b) The order statistics of a sample of size n from an exponential distribution with mean β have the following joint density function:

g(x1, x2, ..., xn) = n!/β^n * exp(-∑ xi/β) * I(xi < x(i+1)), for x1 > 0, x2 > x1, ..., xn > xn-1.

where I(.)

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The domain of the function g(x) = \(sin^-1(2x + 4)\) is [-5/2, -3/2] in interval notation. The range of the function g(x) = \(sin^-1(2x + 4)\) is [-π/2, π/2] in interval notation.

The given function is g(x) = \(sin^-1(2x + 4)\).

To find the domain of the function, we need to determine the set of all possible input values (x) for which the function is defined.

The inverse sine function, \(sin^-1(x)\), is defined for values of x in the interval [-1, 1].

So, in order for g(x) = \(sin^-1(2x + 4)\) to be defined, we need to satisfy the condition -1 ≤ 2x + 4 ≤ 1.

Solving this inequality:

-1 ≤ 2x + 4 ≤ 1

-5 ≤ 2x ≤ -3

-5/2 ≤ x ≤ -3/2

Therefore, the domain of the function g(x) = \(sin^-1(2x + 4)\) is [-5/2, -3/2] in interval notation.

To find the range of the function, we need to determine the set of all possible output values (g(x)).

The range of the inverse sine function, \(sin^-1(x)\), is [-π/2, π/2], which means that the output values of g(x) will fall within this interval.

Therefore, the range of the function g(x) = \(sin^-1(2x + 4)\)is [-π/2, π/2] in interval notation.

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The complete question is:<Find the domain and range of the following function. (Enter your answers in interval notation.) g(x) = \(sin^-1(2x + 4)\) domain [-5/2, -3/2] range [-pi/2, pi/2]>