The test statistic of z = 2.58 is obtained when testing the claim that p = 0.85. Find the P-value. (Round the answer to 4 decimal places and enter numerical values in the cell)

Richard is 35 years old and Teo is 10 years old.

What is the linear function?

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

We have,

Richard and Teo have a combined age of 48.

Richard is 15 years older than twice Teo's age.

Let the ages of Richard and Teo be R and T years old respectively.

R +T= 48    -----(1)

R= 2T + 15   -----(2)

Substitute (2) into (1):

2T +15 +T= 48

3T +15= 48

3T= 48 -15

3T= 33

T= 33 ÷ 3

T= 10.1

Substitute T= 10.1 into (2):

R= 2(10.1) +15

R= 20.2 +15

R= 35.2

R = 35

Hence, Richard is 35 years old and Teo is 10 years old.

To learn more about the linear function visit,

https://brainly.com/question/4025726

#SPJ1

Answer:

sqrt(2) it cannot be expressed as a fraction and is not repeating

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.14...

The "..." symbol indicates that a number is 100% irrational.

Hope it helps! ✶    ✶✶

Answer:

Step-by-step explanation:

2.8 + 6.5 = 9.3

Answer:

9.3

Step-by-step explanation:

2.8+6.5=9.3

You'd use addition to solve this

Answer:

27.2368421053

Step-by-step explanation:

Hope this helps~! Brainliest is 'preciated if it does!

\(2y = 3x + 6\\y = \frac{3}{2}x + \frac{6}{2} = \frac{3}{2}x + 3\)

[10] D

      A counter-example is an example that shows the argument can have true premises and a false conclusion.

      Option D shows someone who is good at math, but isn't an engineer. This is a counter-example.

[11] B

      Similar to the previous question, options A, B, and D are all dogs. However, option C is not a dog and also has four legs. Therefore, it is a counter-example.

Answer:

x= -6

Step-by-step explanation:

so i'm thinking 1 solution.

(let me know if i'm wrong)

Answer:

infinitely many solutions.

Step-by-step explanation:

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

The consumer surplus when the selling price is $10 is found by,
1. First, identify the demand curve equation: p = 430/(x+9).

2. Next, find the quantity demanded (x) when the selling price (p) is $10. Plug p = 10 into the demand curve equation: 10 = 430/(x+9).

3. Solve for x: 10(x+9) = 430. This simplifies to 10x + 90 = 430. Subtract 90 from both sides: 10x = 340. Divide by 10: x = 34.

4. Now, find the price consumers are willing to pay for the 34th unit using the demand curve equation: p = 430/(34+9). This simplifies to p = 430/43, which equals p ≈ 10.

5. The consumer surplus is the difference between the price consumers are willing to pay for the 34th unit and the selling price, multiplied by the quantity demanded, and divided by 2 (since the surplus forms a triangle). In this case, the consumer surplus is approximately (10 - 10) * 34 / 2 = 0.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

Learn more about "selling price": https://brainly.com/question/19104371

#SPJ11

Answer:

109.5 i hope this helps tell me if its right

Answer:

x= 131

Step-by-step explanation:

PLZ MARK AS BRAINLIEST

Answer:

131°

Step-by-step explanation:

All angles in a triangle add up to 180°

180 - (39 + 92) = 49

A straight angle is 180°

180 - 49 = 131

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

Learn more about Initial Value Problem: brainly.com/question/31041139

#SPJ11

Main Answer: The dot plots for tasks A+ and D show the mean time is approximately equal to the median time.

Supporting Question and Answer:

How do we determine if the mean time is approximately equal to the median time based on a dot plot?

To determine if the mean time is approximately equal to the median time based on a dot plot, we need to look at the distribution of the data and see if it is symmetric or skewed. If the data is roughly symmetric, with values distributed evenly on both sides of the median, then the mean and median will be close to each other, and the mean time will be approximately equal to the median time. Conversely, if the data is skewed, with more values on one side of the median than the other, then the mean and median will be further apart, and the mean time will not be approximately equal to the median time.

Body of the Solution:The dot plots of tasks for which the mean time is approximately equal to the median time are:

Dot plot A+: The median is around 25 minutes, and the mean is also around 25 minutes.

Dot plot D: The median is around 20 minutes, and the mean is slightly above 20 minutes.

Therefore, dot plots A+ and D have approximately equal mean and median times.

Final Answer:Thus, dot plots A+ and D have approximately equal mean and median times.

To learn more about determine if mean time is approximately equal to the median time based on a dot plot from the given link

https://brainly.com/question/22761225

#SPJ4

The dot plots for tasks A+ and D show the mean time is approximately equal to the median time.

To determine if the mean time is approximately equal to the median time based on a dot plot, we need to look at the distribution of the data and see if it is symmetric or skewed. If the data is roughly symmetric, with values distributed evenly on both sides of the median, then the mean and median will be close to each other, and the mean time will be approximately equal to the median time. Conversely, if the data is skewed, with more values on one side of the median than the other, then the mean and median will be further apart, and the mean time will not be approximately equal to the median time.

Body of the Solution: The dot plots of tasks for which the mean time is approximately equal to the median time are:

Dot plot A+: The median is around 25 minutes, and the mean is also around 25 minutes.

Dot plot D: The median is around 20 minutes, and the mean is slightly above 20 minutes.

Therefore, dot plots A+ and D have approximately equal mean and median times.

Thus, dot plots A+ and D have approximately equal mean and median times.

To learn more about mean and median

https://brainly.com/question/31098693

#SPJ4

Answer:MON=99

Step-by-step explanation:

8x-13+7x-17=180

15x=210

x=14

Answer:

Step-by-step explanation:

8x - 13 + 7x - 17 =180

15x - 30 = 180

15x = 210

x = 14

8(14) - 13= 112 - 13 = 99

The proportion used to find the value of a is a/18 = 16/a

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given are three similar triangles, (refer to attached figure to separately see the similar triangles)

We know that, similar triangle have corresponding sides in equal ratio,

Therefore,

a/18 = 16/a

Hence, the proportion used to find the value of a is a/18 = 16/a

Learn more about proportion, click;

https://brainly.com/question/7096655

#SPJ1

It is not entirely clear what is meant by "using the body" to determine the z-score. However, I will explain how to find the z-score from a normal probability plot.

A normal probability plot is a graphical tool used to check if a given data set follows a normal distribution. In this plot, the data is plotted against a theoretical normal distribution. If the data points fall approximately along a straight line, then the data can be considered normally distributed. To find the z-score of a particular value from a normal probability plot, we need to first determine the standardized normal variable, which is the number of standard deviations away from the mean that the value falls. We can estimate this by finding the percentile of the value on the vertical axis of the plot, and then using the standard normal distribution table to find the corresponding z-score. For example, suppose a data set has a mean of 50 and a standard deviation of 10. We have a value of 65 that we want to find the z-score for using the normal probability plot. If the vertical axis of the plot indicates that the 65th percentile falls at a standardized normal variable of approximately 1.28, we can look up this value in the standard normal distribution table to find that the corresponding z-score is approximately 1.28 x 10 + 50 = 63.8. Therefore, we can use the normal probability plot to estimate the z-score of a particular value by finding its percentile on the plot and using the standard normal distribution table to find the corresponding z-score.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

26x - 52y  is the equivalent expression.

2(13a - 5) is the equivalent expression.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-13 (-2x + 4y)

= -13 x -2x+ -13 x 4y

= 26x - 52y

Now,

26a - 10

Taking out a common factor.

= 2 (13a - 5)

Thus,

26x - 52y and 2(13a - 5) are the equivalent expression.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

a

Step-by-step explanation:

1+1=2  2+2=4 meaning its 9$ for the cheesecake and 10 for the apple pie

So, it takes Hillary and Bill approximately 4.35 hours to complete 1 puzzle together and the speed of the boat in still water is approximately 12 mph.

a. Let's call the time it takes for Hillary and Bill to complete the puzzle together "t." We know that in 5 hours, Hillary can do 1 puzzle, so her rate is 1/5 puzzles per hour. Bill can do 1 puzzle in 7 hours, so his rate is 1/7 puzzles per hour. When they work together, their combined rate is (1/5 + 1/7) puzzles per hour. To find the time it takes them to complete 1 puzzle together, we set up an equation: t = 1 / (1/5 + 1/7). Solving for t, we find that it takes them approximately 4.35 hours to complete 1 puzzle together.

b. Let's call the speed of the boat in still water "s." When the boat is going against the current, its speed is s - 3 mph, and when it is going with the current, its speed is s + 3 mph. We know that it takes the same amount of time for the boat to go 10 miles against the current and 15 miles with the current, so we can set up an equation: 10 / (s - 3) = 15 / (s + 3). Solving for s, we find that the speed of the boat in still water is approximately 12 mph.

Therefore, it takes Hillary and Bill approximately 4.35 hours to complete 1 puzzle together and the speed of the boat in still water is approximately 12 mph.

To learn more about Work Problems

Visit; brainly.com/question/29191491

#SPJ4

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The values of x for which f(x) = 8 are :

A 15-kilometer diameter impact crater is a relatively small feature on the Moon's surface. It was likely formed by a small asteroid or meteoroid impact, creating a circular depression.

Impact craters on the Moon are formed when a celestial object, such as an asteroid or meteoroid, collides with its surface. The size and characteristics of a crater depend on various factors, including the size and speed of the impacting object, as well as the geological properties of the Moon's surface. In the case of a 15-kilometer diameter crater, it is considered relatively small compared to larger lunar craters.

When the impacting object strikes the Moon's surface, it releases an immense amount of energy, causing an explosion-like effect. The energy vaporizes the object and excavates a circular depression in the Moon's crust. The crater rim, which rises around the depression, is formed by the ejected material and the displaced lunar surface. Over time, erosion processes and subsequent impacts may alter the appearance of the crater.  

The study of impact craters provides valuable insights into the Moon's geological history and the frequency of impacts in the lunar environment. The size and distribution of craters help scientists understand the age of different lunar surfaces and the intensity of impact events throughout the Moon's history. By analyzing smaller craters like this 15-kilometer diameter one, researchers can further unravel the fascinating story of the Moon's formation and its ongoing relationship with space debris.

Learn more about diameter here:

https://brainly.com/question/31445584

#SPJ11

Answer: 11.25 ft³

Step-by-step explanation:

     We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.

V = L * W * H

V = 2.5 * 3 * 1.5

V = 11.25 ft³

       The volume of the rectangular prism is 11.25 ft³.

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

(1 /a+ 1/b) (a+b-c)+(1/b+1/c) (b+c-a) + (1/c+1/a)(c+a-b)

plz solve this question

Step-by-step explanation:

3 is the ans

Answer:

Step-by-step explanation:

ima a braintlest

Answer:

Area=180.5 sq in

Step-by-step explanation:

(7x9.5x.5x2)+(12x9.5x.5x2)=Area

66.5+114=Area

Area=180.5 sq in

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

To know more about derivative visit:

https://brainly.com/question/29144258

#SPJ11

The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

Learn more on differentiation : https://brainly.com/question/25081524

#SPJ4

The probability that a randomly selected gas station in Russia charges more than the mean price in the United States is quite low.

This is because the prices of gas in Russia are typically much lower than the mean price of gas in the United States. The average cost of gasoline in Russia is around $0.50 per liter while in the United States, the average price of gas is around $1.78 per liter.

To explain further, the cost of living in Russia is lower than the cost of living in the United States. This means that there is more disposable income for people living in Russia and as a result, the price of gas is much lower than in the United States.

In addition, the cost of transportation and other production costs are lower in Russia than in the United States, which also keeps the prices of gas in Russia lower.

All of these factors make it unlikely that a randomly selected gas station in Russia would be charging more than the mean price in the United States.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11