Find the value of z. Then find the value of the interior angles ​

we would be willing to pay no more than $10 to play a game where I pick one bill out of a bag with equal proportions of $10, $20, $50, and $100 bills.

The expected value of the game is $30, so we would not be willing to pay more than that. we would be willing to pay the $10 because there is a chance I could select a $100 bill, and while the probability of this happening is low, the potential reward could be quite high.

So ultimately, the amount we are willing to pay depends on the amount of risk we are willing to take.

Therefore we will be willing to pay no more than $10 to play a game where we pick one bill out of a bag with equal proportions of $10, $20, $50, $100 bills.

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Answer: for -7 is 7 for -5 is 5

Step-by-step explanation: the absolute value of a number is its distance from zero on the number line. For example, -7 is 7 units away from zero, so its absolute value would be 7.

Sometimes referred to as a numerical value, the absolute value is the non-negative value of a real number without regard for its sign. For example, the absolute value of both 12 and -12 is 12.

The absolute value of -5: |−5| is the absolute value of a negative number. To find the answer to this, you simply remove the negative sign, so the answer is 5

Hey there! :)

Answer:

m∠A = 72°.

m<B = 108°.

Step-by-step explanation:

In a parallelogram, the opposite angles are congruent.

Therefore, we can set the two expressions equal to each other:

5y - 3 = 3y + 27

Add 3 to both sides:

5y = 3y + 30

Subtract 3y from both sides:

2y = 30

Divide both sides by 2:

y = 15

Substitute this value of y into an expression to solve for the measure of ∠A:

5(15) - 3 = 72°. m∠A = 72°.

In parallelograms, the neighboring angles are supplementary. Therefore:

m∠A + m∠B = 180°

72° + m∠B = 180°

m<B = 108°.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

A

Step-by-step explanation:

Given (x + h) is a factor of f(x) then f(- h) = 0

Given

p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then

p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is

- 1 - 4 - a + 20 = 0

15 - a = 0 ( subtract 15 from both sides )

- a = - 15 ( multiply both sides by - 1 )

a = 15 , thus

p(x) = x³ - 4x² + 15x + 20

If p(x) is divided by (x + h) then p(- h) is the remainder, so

p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is

- 8 - 16 - 30 + 20 = - 34 → A

Outliers are data elements that are relatively far from other data elements.

The histogram has no outlier

Given

\(Mean = 66\)

\(Median = 68\)

From the given histogram, we observe that:

The bars of the histogram are next to another; i.e. there is no empty space between the bars of the histogram.

When the bars of a histogram are next to one another, it means that the histogram has no outlier.

Hence, we can conclude that there is no outlier on the histogram.

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Therefore, the expression that equals 3B - 3C in standard form is -21x² - 6x + 24.

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated or simplified to obtain a single value or another expression. In algebra, expressions are often used to represent mathematical relationships or formulas, and can be manipulated using various algebraic techniques such as factoring, expanding, simplifying, and solving for unknown variables. Expressions are also used in calculus, probability theory, and many other branches of mathematics to describe mathematical models and relationships.

Here,

We can start by substituting the expressions for B and C into the expression for 3B - 3C and simplifying:

3B - 3C = 3(-3x - 7x²) - 3(-x² - 8 - x)

= -9x - 21x² + 3x² + 24 + 3x

= -21x² - 6x + 24

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Answer:

  720 miles

Step-by-step explanation:

We are given a distance and a fraction of the total that it represents. This lets us write the relation ...

  252 = 0.35D . . . . . . where D is the total distance traveled

  252/0.35 = D = 720 . . . . divide by the coefficient of D

The Hernandez family traveled 720 miles during their vacation.

a) The number of hours the server must work to earn $35 is of: 2.5 hours.

b) The earnings for five hours of work are given as follows: $75.8.

c) As the number of hours worked increases, the earnings also increase.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

The points for this problem are given as follows:

(1,10), (2, 27), (3, 45), (4, 55) and (5, 78).

Inserting these points into a calculator, the equation is given as follows:

y = 16.4x - 6.2.

Hence the number of hours needed to earn $35 is given as follows:

35 = 16.4x - 6.2

x = 41.2/16.4

x = 2.5 hours.

The earnings for five hours of work are given as follows:

y = 16.4(5) - 6.2

y = $75.8.

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The probability that two consonants and one vowel are chosen is 0.536.

Probability determines the chances that an event would happen. The probability the event occurs lies between 0 and 1.  

The probability that two consonants and one vowel =( \(\frac{5!}{3!2!} . \frac{3!}{2!1!}\)) ÷ \(\frac{8!}{3!5!}\) = 0.536

Here is the complete question: The word geometry has eight letters. three letters are chosen at random. what is the probability that two consonants and one vowel are chosen? 0.536 0.268 0.179 0.089

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Answer:

A

Step-by-step explanation:

cuz yes

Answer:

The correct answer is A. x > -3/35

Step-by-step explanation:

-3/2(x - 1/3) > 1/5 - 5x

-3/2x + 1/2 > 1/5 - 5x

-15x + 5 > 2 - 50x

-15x + 50x + 5 > 2

-15x + 50x > 2 - 5

35x > 2 - 5

35x > -3

x > -3/35

Hope this helped! :)

Answer: A. x > -3/35

Step-by-step explanation:

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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After 2 seconds, the ball attains its maximum height of 8 feet.

We know that the ball's height can be modeled by a quadratic function, and that the function can be factored into the form f(t) = at(t - 4), where a is a constant.

Using the factored form of the quadratic function, we can see that the function has intercepts at t = 0 and t = 4.

At t = 0, the height of the ball is 0, since it starts at ground level.

At t = 4, the height of the ball is 0, since it reaches its maximum height and then falls back to the ground.

The factored form of the function tells us that the graph of the function is a parabola that opens upward, since the coefficient of the t² term is positive.

The maximum height of the ball occurs at the vertex of the parabola, which is located at the midpoint of the x-intercepts.

Therefore, the maximum height of the ball occurs when t = 2 seconds.

To find the maximum height, we can plug t = 2 into the quadratic function and evaluate:

f(2) = 2² + 2(2) = 8

Therefore, after 2 seconds, the ball attains its maximum height of 8 feet.

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Answer:since the guy above me answered horribly

Step-by-step explanation:

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Answer:

\( \boxed{\sf (c) \ 9a - 8 {a}^{2}} \)

Step-by-step explanation:

\( \sf Simplify \: the \: following: \\ \sf \implies 3a - 2a \times 4a + 6a \\ \\ \sf - 2a \times 4a = - 2 {a}^{2} \times 4 : \\ \sf \implies \boxed{ \sf - 2 {a}^{2} \times 4} + 3a + 6a \\ \\ \sf - 2 \times 4 = - 8 : \\ \sf \implies \boxed{ \sf- 8} {a}^{2} + 3a + 6a \\ \\ \sf 3a + 6a = 9a : \\ \sf \implies 9a - 8 {a}^{2} \)

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.

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

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.

3x + 5 + 3 is an expression.

4x = 6 is an expression.

We have,

3a - (2a x 4a) + 6a

3a - 8a² + 6a

Combine like terms.

9a - 8a²

We can also write,

-8a² + 9a

There is no common factor or like terms to simplify further.

So,

9a - 8a²

Thus,

The final expression of the expression 3a - (2a x 4a) + 6a is

9a - 8a².
Option C is the correct answer.

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Step-by-step explanation:

The elevator has an acceleration and deceleration of magnitude 1.0 m/s^2, so it takes (5 m/s) / (1 m/s^2) = 5 seconds to reach its maximum speed of 5 m/s.

To come to a stop from this maximum speed, it will also take 5 seconds.

The time it takes for the elevator to travel the entire distance of 200 m is given by:

t = 5 s + 5 s + d / v

where d is the distance traveled at constant speed and v is the constant speed.

We know that the total time is equal to t = 10 s + d / 5 m/s.

Thus, d = (10 s - 5 s) * 5 m/s = 25 m.

So the elevator spends 5 seconds accelerating, 5 seconds decelerating, and 10 - 5 = 5 seconds at constant speed.

Answer:

S/2πr-r = h

Step-by-step explanation:

S = 2πr(h + r)

S/2πr = h+r

S/2πr - r = h

Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

Answer: the answer is 4 cups of walnuts

Step-by-step explanation:

not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).

I assume, we have the following points :

(-6, 1.5) (-3, 3)

(-3, 2) (1, 2)

(1, 1) (6, -9)

all 3 segments are lines with the basic function definition

y = ax + b

a is the slope of the line function and is always the factor of x.

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

b is the y-intercept (the y value when x = 0).

the first segment goes from (-6, 1.5) to (-3, 3).

x changes by +3 units (from -6 to -3).

y changes by +1.5 or 3/2 units (from 1.5 to 3).

the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2

giving us the first part

y = (1/2)x + b

b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :

3 = (1/2)×-3 + b

3 = -3/2 + b

6/2 + 3/2 = b

9/2 = b

the full equation is

y = (1/2)x + 9/2 = (x + 9)/2

the second segment is a flat, horizontal line and is simply

y = 2

the third segment goes from (1, 1) to (6, -9) :

x changes by +5 units (from 1 to 6).

y changes by -10 units (from 1 to -9).

the slope of the line is -10/5 = -2

giving us the first part

y = -2x + b

b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :

1 = -2×1 + b

1 = -2 + b

3 = b

the full equation is

y = -2x + 3

The answer is in the pic below!

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

Refer to the following equation

Step-by-step explanation:

Volume of a square pyramid is equal to (base edge^2) * (height/3)

Figure out which if the dimensions given are the base edge and the height, then plug them into the equation and solve

You have not included a photo of the diagram, so I am unsure of which measurements are the base edge and height

Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Convert 2500mg to kg

step 1: convert 2500mg to g

step 2: Convert 2.5 g to kg

Therefore, 2500mg is equivalent to 0.0025kg

Answer:

The rates are equal

Step-by-step explanation:

To see if the rates are equal, divide both of the units by the number of minutes:

60/3

= 20

80/4

= 20

This means both rates are equal, since we got 20 for both of them

This means the rate is 20 units per 1 minute, for both rates.

So, the rates are equal.

Answer:

They are equal

1=20

2=40

3=60

4=80

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= 5y+10

x+y=4