below is a stem and leaf plot from minitab of the number of sick days for employees. find the median.

Answer:

14,987

Step-by-step explanation:

The length of the line segment AB is 4.8 units

To find the length of the line segment AB in the convex quadrilateral ABCD with given information, we can use the following steps:

Step 1: Identify the given information
We are given that \(AT = 3 units\) , \(TD = 6 units,\)  \(TC=10 units\) and angle sum is 180 degrees.

Step 2: Utilize the Angle Bisector Theorem
Since lines AB and CD intersect in point T, we can apply the Angle Bisector Theorem to triangle ATC, with TD being the angle bisector. The theorem states that the ratio of the lengths of AT to TB is equal to the ratio of the lengths of CT to TD:

\(\frac{AT}{TB} = \frac{CT}{TD}\)


Step 3: Plug in the given values and solve for TB
Using the given values, we can set up the equation:

\(\frac{3}{TB} = \frac{10}{6}\)

To solve for TB, we can cross-multiply:

\(3(6)=10(TB)\\18=10(TB)\)

Now, divide both sides by 10:

Step 4: Find the length of line segment AB
To find the length of AB, we simply add the lengths of AT and TB:
\(AB = AT + TB\)

\(AB = 3 + 1.8\)

\(AB = 4.8 units\)

So, the length of the line segment AB is 4.8 units.

To know more about "Angle Bisector Theorem" refer here:

https://brainly.com/question/28565813#

#SPJ11

Answer:

2 \(\frac{3}{4}\)

Step-by-step explanation:

Substitute the given values into the expression

2 ( \(\frac{1}{16}\) + (\(\frac{1}{4}\) )² ) + 5(\(\frac{1}{2}\) )

= 2 ( \(\frac{1}{16}\) + \(\frac{1}{16}\) ) + \(\frac{5}{2}\)

= 2 (\(\frac{2}{16}\) ) + \(\frac{5}{2}\)

= 2 (\(\frac{1}{8}\) ) + \(\frac{5}{2}\)

= \(\frac{1}{4}\) + \(\frac{10}{4}\)

= \(\frac{11}{4}\)

= 2 \(\frac{3}{4}\)

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

1. 64.4kg

2. 490.5g

3. 34.4cm

4. 503.25

Step-by-step explanation:

1. 56+(56×15/100)

2. 436+(436×12.5/100)

3. 43-(43×20/100)

4. 550-(550×8.5/100)

Answer:

hope its help u

Step-by-step explanation:

\(let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(32) = \frac{25}{x} \\ 0.62486= \frac{25}{x } \\ x = \frac{25}{0.62486} \\ x = 40\)

The volume of the solid obtained by rotating the region bounded by the curves y = 3x^6 and y = 3x (where x ≥ 0) about the x-axis is π/2 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = 3x^6 and y = 3x (where x ≥ 0) about the x-axis, we can use the method of cylindrical shells.

First, we need to find the limits of integration. The curves intersect at x = 1, where y = 3. Therefore, we can integrate from x = 0 to x = 1 to obtain the volume of the solid.

Next, we need to find the radius and height of the cylindrical shells. The radius of each shell is x, which is the distance from the axis of rotation (the x-axis) to the curve. The height of each shell is the difference in y-coordinates between the curves at a given value of x.

Thus, the volume of each cylindrical shell is given by:

dV = 2πx (y2 - y1) dx

where y2 is the equation of the upper curve (y = 3x), y1 is the equation of the lower curve (y = 3x^6), and dx is an infinitesimal thickness of the shell.

Substituting the equations for y1 and y2, we have:

dV = 2πx (3x - 3x^6) dx

Integrating this expression from x = 0 to x = 1, we get:

V = ∫[0,1] 2πx (3x - 3x^6) dx

Evaluating this integral, we obtain:

V = π/2.

For more similar questions on volume:

https://brainly.com/question/17372955

#SPJ11

The surface area of an egg shell scales as the mass of the egg shell raised to 1.82694

The term surface area in math is defined as the area occupied by a three-dimensional object by its outer surface

Here we know that the area of a cube with edged is proportional to the second power d² while its volume is proportional to the third power d³.

Here we know that for any bounded solid object, here we have which encloses a region with some volume V and its enclosing surface has area A, where as the same kind of proportions can be derived in terms of a linear dimension d of the object, here for example the diameter of the object.

AS we all know that the surface area is directly proportional to the 3rd power of the mass of the egg, here we have A = km³ where A is the surface area, k a constant of proportionality, and m the mass.

For a chicken egg we have 28 = k(60)⁰°⁶⁷

Here by solving for k we get:

=> k = 28/60⁰°⁶⁷ ≈ 1.82694

To know more about surface area here.

https://brainly.com/question/29298005

#SPJ4

Answer:

9u is a term

4 is a constant

Step-by-step explanation:

Coefficient is the number in front of the variable

Answer:

You have them right, just click 4 is a constant and your good to go.

Hope this helps, plz let me know if wrong.

Answer:

The x coordinate of the solution is 6.

Step-by-step explanation:

(x, y) = (6, -5)

-5y + 4x = 49

7y + 2x = -23

Answer:

its easy it should be 1.25 or well that the answer I got

Answer:

8150.46 % 8.94x

Step-by-step explanation:

{ (√5x³ }× √9x⁶) ÷ √80x​

first brackets  

(√125 × √531441) ÷ √80x​

(√125 × √531441) ÷ √80x​

(11.1803398875 x 729) % √80x​

8150.46777799 % √80x​

8150.46777799 % 8.94427191x

Answer:

I`m not sure if it is asking for a fraction probability for decimal probability so I have both answers...

3/22 is the fraction form, since it cant be simplified

3 / 22 = .136

so that number rounded is .14

aka 14% chance of winning

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

For this we can use an equation of y=mx+b, b will equal what she started with, and m will be how much she saves each week

Using this, we now can use the equation Y=15x+30, y equals the total she has saved, and x equals the weeks.

You should be able to use this equation to solve the rest now!

In Question 10, to determine the year when Ryan's salary was highest in real terms, we need to adjust his earnings for inflation using the Consumer Price Index (CPI). Given the CPI values for 1970, 1980, and 1990, we can calculate the real value of Ryan's salary for each year and compare them.

In Question 11, we are asked to identify which item will be included in GDP. GDP measures the value of goods and services produced within a country's borders during a specific time period. We need to determine if the given options represent items that contribute to GDP.

In Question 13, we are discussing the problems with CPI calculations. CPI is used to measure inflation and changes in the cost of living. We need to identify the specific issues associated with CPI calculations.

Question 10: To determine the highest real salary, we need to adjust Ryan's earnings for inflation. We can do this by dividing his earnings in each year by the respective CPI value and then comparing the real values. By performing the calculations, we find that Ryan's salary was highest in 1970 when adjusted for inflation.

Question 11: In this question, option a (vegetables produced in the backyard for self-consumption) is not included in GDP as it represents non-market production for personal use. Option b (jewelry set bought from an antique store) is included in GDP as it involves a market transaction. Option c (rental value of owner-occupied houses) is not included in GDP as it is imputed and not a market transaction. Option d (purchase of a pre-owned car) is included in GDP as it involves a market transaction.

Question 13: The problem with CPI calculations includes both the substitution bias and unmeasured quality change. The substitution bias arises because CPI assumes constant consumption patterns and does not account for consumers' ability to substitute cheaper goods for more expensive ones. Unmeasured quality change refers to the difficulty of accurately capturing changes in the quality of goods and services over time in the CPI calculation. Therefore, the correct answer is that both the substitution bias and unmeasured quality change are problems with CPI calculations.

To learn more about Consumer Price Index: -brainly.com/question/29312896

#SPJ11

Answer:

80

Step-by-step explanation:

Let the total number of statues be s.  Then 0.75s = 60, and s = (4/3)(60 statues) = 80

He has 80 statues total.

Answer:

Step-by-step explanation:

The formula for the y-intecept form is \(y=mx+b\)

Plugin the m and the b we have

\(y=-4x+5\)

Answer:

y=-4x+5

Step-by-step explanation:

The final answer is that under the circumstances of low growth, high inflation, and stagflation, monetary policies should be used in a combination of tightening monetary policy, managing money supply, implementing exchange rate policies, maintaining fiscal discipline, coordinating with other policies, and ensuring communication and transparency.

In a situation where a country is facing a low growth rate, high inflation, and stagflation, monetary policy can play a crucial role in stabilizing the economy. Here are some potential measures that can be considered:

1. Tightening Monetary Policy: To control inflation and stabilize prices, the central bank can increase interest rates. Higher interest rates make borrowing more expensive, reducing consumer spending and investment. This helps in curbing inflationary pressures and can also attract foreign investors looking for higher returns.

2. Managing Money Supply: The central bank can implement measures to control the money supply in the economy. This can include reducing the amount of money in circulation through open market operations or adjusting reserve requirements for banks. By limiting the money supply, the central bank can address inflationary pressures.

3. Exchange Rate Policy: If the country's currency is depreciating rapidly, the central bank can intervene in the foreign exchange market to stabilize the exchange rate. This can be done by selling foreign currency reserves or implementing capital controls. A stable exchange rate can help control inflation and restore confidence in the economy.

4. Fiscal Discipline: Monetary policy alone may not be sufficient to address stagflation. It is important to complement monetary measures with fiscal discipline. The government should focus on reducing budget deficits, controlling public spending, and implementing structural reforms to improve productivity and competitiveness.

5. Coordination with Other Policies: Monetary policy should be coordinated with other economic policies, such as fiscal policy and structural reforms. A comprehensive approach that addresses underlying structural issues and promotes long-term growth can be more effective in tackling stagflation.

6. Communication and Transparency: Clear communication of monetary policy actions and objectives is crucial to manage market expectations. The central bank should provide transparent information on its policy decisions and the rationale behind them. This helps in building trust and credibility, which are essential for the effectiveness of monetary policy.

It's important to note that the specific policy measures and their effectiveness may vary depending on the country's unique circumstances and institutional setup. Consulting with economists, policymakers, and central bank officials can provide more tailored recommendations for Turkey's specific situation.

To know more about, inflation, visit :

brainly.com/question/28190771

#SPJ4

Answer:

11

Step-by-step explanation:

2x +1 =23

2x =23 - 1

2x =22

x=22 :2

x=11

Answer:

160

Step-by-step explanation:

72=0.45x

72/0.45=x

x=160

False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

To learn more about Antecedent - brainly.com/question/28845527

#SPJ11

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

1+1 equals 2 ok are you a ok bye

Answer:

315 inches

Step-by-step explanation:

180 + 180 * 075 =

180 + 135 = 315

Answer:

The truck is 315 inches long.

Step-by-step explanation:

The answer of this question is 13°

Step-by-step explanation:

(9x-17)+(4x+28)=180° ( Being cointerior angle of parallel line)

or, 9x-17+4x+28=180°

or, 13x+11=180°

or, 13x=180°-11

or, x= 169°÷13

: x=13° answer

Answer:

Step-by-step explanation:

Answer:

The warehouse has 687,500 cubic feet of space. The size air conditioner will need to be at least 60 tons.

Hope this helps!

Step-by-step explanation:

The volume of the warehouse is 687,500 cubic feet.

The size air conditioner will need to be at least 60 tons.

The volume of the warehouse based on the information is:

250 feet * 125 feet * 22 feet

= 687,500 cubic feet

A one-ton air conditioner can cool 12,000 cubic feet of space, so the warehouse will need at least:

687,500 cubic feet / 12,000 cubic feet/ton

= 58 tons

Since air conditioners are typically sold in whole-ton units, we round 60 tons up to the nearest tens tons.

Therefore, the warehouse will need at least a 60-ton air conditioner to cool the entire space.

Learn more about volume on

https://brainly.com/question/463363

#SPJ2

Solution :

Rephrasing is defined as to rewriting or expressing the idea or the content in an alternative way.

So rephrasing the question, we get :

Janae bought a new big size house of 2500 square feet with a large size backyard at $ 129,900. Janae wants fence her backyard so that her dog, Lyle can play on the backyard. Before fencing she wants to know the perimeter of the fencing or the size of the yard so that she could fence it. The measures of her yard is :

length : (x-7)

width : (x+2)