The results of an empirical study reveal the following: n=27, sample mean = 3,000, sample standard deviation = 900. The 90% confidence interval of the true population mean is closet to: = = 2,400 and 3,400 1,200 and 4,800 2,700 and 3,300 0 2,000 and 4,000.

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

To know more about speed, visit:

https://brainly.com/question/13943409

#SPJ11

The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

To know more about distance visit

https://brainly.com/question/3705327

#SPJ11

A Type I error is the incorrect rejection of a true null hypothesis. A Type II error is the failure to reject a false null hypothesis. The level of significance (alpha) determines the trade-off between these two types of errors.

The p-value is used to help determine whether or not the null hypothesis is statistically significant, which is used to make decisions based on sample data. If the p-value is less than or equal to the alpha level, it is considered significant, and the null hypothesis is rejected.

If the p-value is greater than the alpha level, it is not significant, and the null hypothesis is not rejected. Large p-values indicate that there is insufficient evidence to reject the null hypothesis. An alpha level is the probability of making a Type I error, which is the likelihood of rejecting the null hypothesis when it is true. The level of alpha is determined by the researcher and is usually set at 0.05 or 0.01.

For a result to be statistically significant, it means that it is unlikely that the result occurred due to chance. The significance level (alpha level) must be lower than the p-value to consider the result significant.

A 95% confidence interval corresponds to a two-sided hypothesis test at an alpha level of 0.05. A 90% confidence interval corresponds to a one-sided hypothesis test at an alpha level of 0.1.A Type I error is the incorrect rejection of a true null hypothesis. A Type II error is the failure to reject a false null hypothesis. The level of significance (alpha) determines the trade-off between these two types of errors.

See more about null hypothesis at: https://brainly.com/question/4436370

#SPJ11

Answer:Let's first break apart the problem!

Let x = adult tickets

Let y = child tickets

We know from the problem that a total of 336 tickets were sold.

x + y = 336

We also know from the problem the total profit was $4675. We also know that the adult tickets were $15 per ticket and the child tickets were $10 per ticket.

15x + 10y = 4675

Now we need to combine our two-equation by making a common variable. Let's multiply our first equation by 10 and then combine the two equations.

10x + 10y = 3360

Now lets combine the equations

15x 10y = 4675

-10x - 10y = -3360

to get

5x = 1315

x = 263

Therefore there were 263 adult tickets sold.

Let's set some variables:

Now lets set up the system of equation:

.a + c = 378   --> 14a + 14c = 5292

14a + 6c = 4252

After solving the system of equation, you would get that

a = 248  and  c = 130

That means the theater sold 240 adult tickets and 130 child tickets

Hope that helps!

a. population mean

The mean of all possible sample means is equal to the population mean.

This is known as the sampling distribution of the sample mean. When we take multiple random samples from a population and calculate the mean of each sample, the average of these sample means will converge to the population mean.

This is a fundamental result of statistics known as the Central Limit Theorem. As the sample size increases, the variability of the sample means decreases and they become centered around the population mean.

Therefore, the mean of all possible sample means provides an unbiased estimate of the population mean.

To learn more about sample means click here: brainly.com/question/31101410

#SPJ11

Answer:

=A is the answer of your question

Answer:

the hire purchase price is $6300 .

Answer:

If Ally and Bo share evenly, Bo will get 30$, so will Ally. The half of 60 is 30.

Answer:

x = 7

Step-by-step explanation:

8x - 6x = 2 + 12

2x = 14

2/2 x = 14/2

x = 7

Answer:

57 surfers

Step-by-step explanation:

Use proportions to find the answer:

4/15 = 60/x to find amount of swimmers:

225 male swimmers

225+60 = 285 total swimmers

Find amount of surfers:

1/5 = x/285

57 surfers

The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

Learn more about Erosion: https://brainly.com/question/17905503

#SPJ4

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

\(x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12\)

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

\(x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12\)

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

\(x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12\)

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

\((0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12\)

12 does equal 12, so (0, -4/3) makes the equation true.

The correct answer of cos(θ) is option (b) -40/41.

To find cos(θ) when the terminal side of angle θ in standard position intersects the unit circle at point P(-40/41, -9/41), we can use the coordinates of P.

In a unit circle, the x-coordinate represents the value of cos(θ). Therefore, cos(θ) is given by the x-coordinate of the point P.

In this case, P has coordinates (-40/41, -9/41). The x-coordinate is -40/41.

So, cos(θ) = -40/41.

The correct answer is option (b) -40/41.

learn more about "cos(θ)":-https://brainly.com/question/21867305

#SPJ11

Answer:

-5

Step-by-step explanation:

0-4

over

-5-(-5)

slope= -4/0

Answer:

Since (2, 4) belongs to the line the constant of proportionality is 4 / 2 = 2.

Answer:

it should be 10x+3y=30 if im not mistaken

Step-by-step explanation:

you just add straight down with corresponding variables

Answer:12km

Step-by-step explanation:

She ran 2km on Monday, and three times as much on Tuesday so we do 2 x 3 which equals 6. So 6km, plus the original 2km is 8km (6+2) is she wants to run 20km this week, then she needs to subtract what shes already ran to find out how many more km she needs to run. 20-8=12 so 12km.

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.

In this scenario, we can reasonably infer that to divide the triangles into these regions, you should construct the perpendicular bisector of each segment. These perpendicular bisectors intersect and divide each triangle into three regions. The points in each region are those closest to the vertex in that region.

Read more on perpendicular bisectors here: https://brainly.com/question/27948960

#SPJ1

Answer:

C

Step-by-step explanation:

trust me

Answer:

i need brainliest

Step-by-step explanation:

Answer:

i think the answer is y = 3x + 4

Step-by-step explanation:

:)

Answer:

47.68 inches

Step-by-step explanation:

As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.

\(a^{2} + b^{2} = c^{2}\)

where a and b are the sides of the triangle and c is the diagonal.

\(27^{2} + b^{2} = 54.8^{2}\)

\(729 + b^{2} = 3,003.04\)

\(b^{2} = 2,274.04\)

\(b = 47.68\)

Finally, we can see that the length of the TV is 47.68 inches

Answer:

\(x = \frac{60}{2} = 30\)

Can be a useful tool for exploring the behavior of the solution to the ODE and understanding the accuracy of the approximation. The given statement is true.

True. It is possible to set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ordinary differential equations (ODEs).

Euler's method is a numerical method used to approximate solutions to first-order ODEs. It involves approximating the solution to the ODE at discrete time steps using a simple iterative formula.

To set up a spreadsheet to compute the iterations of Euler's method, we can use the following steps:

Set up the time step, h. This is the distance between the discrete time points at which we will approximate the solution. We can choose a small value for h to get more accurate approximations, but this will increase the number of iterations needed.

Set up the initial condition. This is the value of the solution at the initial time point, t_0.

Define the ODE. This is the equation that describes how the solution changes with time. For example, if we are approximating the solution to the ODE dy/dt = f(t,y), we would enter the function f(t,y) in a cell.

Set up the iterative formula. Euler's method uses the formula y_(n+1) = y_n + hf(t_n,y_n), where y_n is the approximate solution at time t_n, and y_(n+1) is the approximate solution at time t_(n+1) = t_n + h.

Fill in the spreadsheet with the initial condition and the iterative formula. We can use the copy and paste functions to quickly fill in the formula for each time step.

Finally, we can graph the approximate solution to the ODE using the spreadsheet's graphing capabilities.

In summary, it is indeed possible to set up a spreadsheet to compute the iterations of Euler's method for approximating solutions to first-order ODEs. This can be a useful tool for exploring the behavior of the solution to the ODE and understanding the accuracy of the approximation.

To learn more about approximating visit:

https://brainly.com/question/30707441

#SPJ11

Answer:

-14

Step-by-step explanation:

-2(z+11)=6

-2z-22=6

-2z=28

z=-14

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

-25

Step-by-step explanation:

\(-5^2=-25\)

Step-by-step explanation:

let's multiply the first equation by 2 and the second equation by -3, and then we add them together :

26x - 12y = 4

-9x +12y = 30

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

17x 0 = 34

x = 2

and now we use one of the original equations to solve for y :

3×2 - 4y = -10

6 - 4y = -10

-4y = -16

y = 4

the solution is (2, 4).

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. The correct option is A.

When you acquire stock in a firm, you are acquiring a little portion of that company known as a share. Investors buy stocks in firms they believe will increase in value. If this occurs, the value of the company's shares rises as well.

For a 70-year-old investor, selling a weak stock at a loss may be a smart move to avoid potential additional future losses.

Hence, the correct option is A.

Learn more about Stocks:

https://brainly.com/question/365124

#SPJ1

his loan will be $37,234 in the year 2022.

ax2+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given, David took out a 20-year $70,000 loan from his bank in 2010.

The quadratic equation that approximates the year/loan balance relationship is y = -98*x^2 - 1,531x + 69,718,

where x is the number of years and

y is the balance

Since the Loan balance is given $37,234.

Thus to calculate the year

$37,234 = -98*x^2 - 1,531x + 69,718,

98 x² + 1534x - 32484 = 0

Comparing with the general form of the quadratic equation.

ax² + bx + c = 0

The discriminant b² - 4ac > 0 thus it has Two real roots.

using the Quadratic Formula

x = \(\frac{-b +- \sqrt{b^{2} - 4ac } }{2a}\)

x = -27.62

and

x = 12

Thus year = 2010 + 12 = 2022

Therefore, In the year 2022, his loan will be $37,234.

Learn more about Quadratic equations here:

https://brainly.com/question/22364785

#SPJ1