Which table shows a proportional relationship?x12345y47101316r510152025s12345b03579c0481216p13579q68101214

Using the normal distribution, it is found that:

a) The 10th percentile for incubation times is of: 18.72 days.

b) The incubation times that make up the middle 95​% are of: Between 18.04 and 21.96 days.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the incubation times are presented as follows:

\(\mu = 20, \sigma = 1\)

The 10th percentile for the distribution is X when Z = -1.28, which is the value of Z with a p-value of 0.1, hence:

-1.28 = (X - 20)/1

X - 20 = -1.28

X = -1.28 + 20

Z = 18.72 days.

Considering the symmetry of the normal distribution, the bounds of the middle 95% of values are given as follows:

Hence the lower bound is:

-1.96 = (X - 20)/1

X - 20 = -1.96

X = -1.96 + 20

Z = 18.04 days.

The upper bound is:

1.96 = (X - 20)/1

X - 20 = 1.96

X = 1.96 + 20

Z = 21.96 days.

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Answer:

The x-coordinate of point A is -5

Answer:

x = \(\frac{15}{2}\) , x = 1

Step-by-step explanation:

(a)

\(\frac{4x-1}{2}\) = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = \(\frac{15}{2}\)

(b)

3x + 2 = \(\frac{2x+13}{3}\) ( multiply both sides by 3 to clear the fraction )

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Therefore , the solution of the given problem of area comes out to be

the actual area of the basketball court is 4,700 square feet.

Its surface area is a reliable indicator of its overall size. When figuring out the right triangle's squared, the environment is taken into account. The surface area of everything determines its overall size. The total of the volumes from each of the twelve vertical sides makes up the water volume inside a cuboid. Utilize the following formula to get the box's dimensions: The region is represented by 2lh, 2lw, & 2hW. (SA). The area is represented by the flexible shape's entire surface area.

Here,

First, let's find the length and width of the basketball court in feet using the scale:

Length = 1 inch on the drawing represents 8 feet in reality

Length of the drawing = 11.75 inches

Actual length = 8 feet/inch × 11.75 inches = 94 feet

Width = 1 inch on the drawing represents 8 feet in reality

Width of the drawing = 6.25 inches

Actual width = 8 feet/inch × 6.25 inches = 50 feet

Now, we can find the actual area of the basketball court:

Actual area = Actual length × Actual width

Actual area = 94 feet × 50 feet

Actual area = 4,700 square feet

Therefore, the actual area of the basketball court is 4,700 square feet.

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Given -

-4x + 5y = -2

To Find -

Value of x and y

Step-by-Step Explanation -

At x = 0

-4(o) + 5y = -2

y = -2/5

At y = 0

-4(x) + 5(0) = -2

-4x = -2

x = 1/2

Final Answer -

Graph:

Answer:

y=6x-5

Step-by-step explanation:

Answer:

the answer would be 10

Step-by-step explanation:

:)))

The angle be 5x - 12 and 3x - 8 then the value of x  = 25.

The angle created by the two rays or arms at a shared vertex is known as the angle measure in geometry.

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

A protractor is a precision tool for measuring angles. Angles are measured in degrees, therefore the term "degree measure." Because one full revolution is equivalent to 360 degrees, it is divided into 360 segments.

Let the two angle be 5x - 12 and 3x - 8

5x + 3x - 12 - 8 = 180

Add similar elements: 5x + 3x = 8x

8x - 12 - 8 = 180

Subtract the numbers: -12 - 8 = -20

8x - 20 = 180

Move 20 to the right side

8x = 200

Divide both sides by 8

= 8x / 8 = 200 / 8

x  = 25

Therefore, the value of x  = 25.

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Answer:

$9.70

Step-by-step explanation:

Use PEMDAS:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Problem:

C(x) = 0.06x + 8.50

Substitute x for 20:

C(20) = 0.06(20) + 8.50

Multiply 0.06 and 20:

C(20) = 1.2 + 8.50

Add 1.2 and 8.50:

C(20) = $9.70

The total cost for an order of 20 copies is $9.70

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = (x - 3)

y - 8.25 = x - 3

y = x + 5.25

Could you please give me brainliest for this? Thank you!

Answer:

y = x + 5.25

Step-by-step explanation:

y - 8.25 = x - 3    Add 8.25 to both sides of the equation

y = x + 5.25

The correct answer is c. 6 ft³.To calculate the volume of the sculpture, we need to find the volume of one pyramid and then multiply it by four.

The volume of a pyramid can be calculated using the formula V = (1/3) * base area * height. In this case, the base area of the pyramid is a square with side length 2 feet, so the area is 2 * 2 = 4 square feet. The height of the pyramid is 6 feet. Plugging these values into the formula, we get V = (1/3) * 4 ft² * 6 ft = 8 ft³ for one pyramid. Since there are four identical pyramids, the total volume of the sculpture is 8 ft³ * 4 = 32 ft³.

However, the question asks for the volume of sculpting material needed, so we need to subtract the volume of the hollow space inside the sculpture if there is any. Without additional information, we assume the sculpture is solid, so the volume of material needed is equal to the volume of the sculpture, which is 32 ft³. Therefore, the correct answer is c. 6 ft³.

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Answer:

88 sq units

Step-by-step explanation:

Area of the rectangle = 14*4= 56 (length*width)

Formula for the area of a Δ = 1/2 * b * h =

1/2 * 8 * 8 =

4*8 = 32

Add:

56+32 = 88

Answer:

Pitcher 2

Step-by-step explanation:

Pitcher 1  = 4 x 1.25 = 5ml concentration

Pitcher 2 = 5 x 2 = 10ml concentration

therefore, pitcher 2 has more concentration :)

hope this helped

Answer:

Larger number: 39

Smaller number: 19

Step-by-step explanation:

Write two equations and solve the system of equations.

One number can be x. The other number can be y.

"sum" means adding.

x + y = 58

"difference" means subtracting.

x - y = 20

Take both equations, stack them and add them together from the top down.

x + y = 58

x - y = 20

_________

2x = 78

Divide by 2

x = 39

Use either original equation to find the other number.

x + y = 58

39 + y = 58

subtract 39

y = 19

The bigger number is 39 and the smaller number is 19.

Answer:

-3/2

Step-by-step explanation:

Can I get brainliest

Answer:

Addition Property of Equality.

Step-by-step explanation:

The Addition property of equality states that: "If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal" (http://content.nroc.org).

For example:

x = x is the same as x + 1 = x + 1

the one is the added same value "to both sides of the equation".

Solving in extremely detailed steps:
(you only take one step normally, from 5x-2=0 to 5x=2, but because we are explaining the concept of the property, we will use lots detailed of steps)

5x - 2 = 0

5x - 2 + 2 = 0 + 2

5x + 0 = 2

5x = 2

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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a. The difference between the high and the low prices on October 20 was $3.33.

b. The actual volume of Discovery Group shares posted on October 27 was 23,600.

c. The closing price for Discovery Group on October 19 was $38.50

The percentage decrease is calculated below as follows:

closing price on October 19 = $38.50

the opening price on October 20 = $37.22

the percentage decrease in prices = (37.22 - 38.50) / 38.50

the percentage decrease in prices = -3.33% to the nearest hundredth

e. The net change =  $32.00 - $38.50

The net change = -$6.50.

The percentage change = (-6.50 / 38.50) * 100

The percentage change  = -16.9% to the nearest tenth percent

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Answer:

x = .23

x = 1.43

Step-by-step explanation:

1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:

\(3x^{2} -5x+1=0\)

2. Solve with the quadratic formula and you get:

\(\frac{5+\sqrt{13} }{6}\) and \(\frac{5-\sqrt{13} }{6}\) which is x = .23 and x = 1.43.

Answer:

here is my answer

Step-by-step explanation:

Answer:

1000000

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

answer is 1

Answer: 0

Step-by-step explanation:

theres no need just pick 0

If the Circle Line travels clockwise around a circular track with a radius of 5 kilometers, you are approximately 24.22 kilometers away from your original starting position.

To determine how many kilometers away you are from your original starting position, we can use geometry and the Pythagorean theorem.

First, we need to find the distance you traveled on the Circle Line. Since you traveled 3/4 of the way around the circular track, we can find the distance traveled by using the formula for the circumference of a circle:

C = 2πr = 2π(5 km) ≈ 31.42 km

So, you traveled 3/4 of the circumference, or:

d = (3/4)C = (3/4)(31.42 km) ≈ 23.56 km

Next, we need to find the distance you traveled on the Town Line, which is 7 kilometers south.

Now, we can use the Pythagorean theorem to find the distance between your current location and your original starting position. Since you traveled on a circular track, your original starting position is the center of the circle, and your current location is the endpoint of the two segments you traveled.

The distance between them is the hypotenuse of a right triangle with legs of 5 km (the radius of the circle) and 23.56 km (the distance you traveled on the Circle Line). Using the Pythagorean theorem, we get:

d = √(5^2 + 23.56^2) ≈ 24.22 km

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Answer:A function f(x) is even if f(-x) = f(x). The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin.

Step-by-step explanation:

The function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).This has been obtained using even-odd functions.

What are even-odd functions?

When the output value of a real-valued function, f(x), is equal to f(x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

We have an even function if we have an expression that is equivalent to f(x) and we have an odd function if we obtain an expression that is equivalent to -f(x).

If we take a function and substitute x for -x, simplify the result, and then compare it to what you started with, you can "determine algebraically" if the function is even, odd, or neither.

The function is even if you come out with exactly what you started with (i.e., if f (-x) = f (x), in which case all of the signs are the same. If you come out with exactly the opposite of what you started with (i.e., if f(-x) = -f (x), in which case all of the signs are switched), it is an odd function.

Hence, the function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).

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The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.