In a density curve, proportion of data is represented by O area above the curve. O area under the curve. O the shape of the curve. o intervals of values on the vertical axis. o intervals of values on the horizontal axis. O the length of the curve. Question 3 1 pts Which ONE of the following is a correct classification of shapes of density curves? O All → Symmetric → Uniform → Normal O All → Nonsymmetric → Bell → Normal O All → Nonsymmetric → Symmetric → Normal O All → Bell → Symmetric → Normal O All → Symmetric → Bell → Normal O All Uniform → Bell → Normal

To show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), we need to plug the wave function into the equation and see if it satisfies the equation.

The linear wave equation (eq. 16.27) is given by:

∂^2y/∂x^2 = (1/v^2) ∂^2y/∂t^2

Plugging in the wave function y=e^(b(x-vt)) into the equation, we get:

∂^2(e^(b(x-vt)))/∂x^2 = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2

Taking the second derivative with respect to x, we get:

b^2 e^(b(x-vt)) = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2

Taking the second derivative with respect to t, we get:

b^2 e^(b(x-vt)) = (1/v^2) b^2 v^2 e^(b(x-vt))

Simplifying, we get:

b^2 e^(b(x-vt)) = b^2 e^(b(x-vt))

This shows that the wave function y=e^(b(x-vt)) satisfies the linear wave equation (eq. 16.27) and is therefore a solution of the equation.

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The sides of the right triangle are as follows:

x = 18 units

y = 15.6 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the sides of the right triangle using trigonometric ratios

tan 30° = opposite / adjacent

tan 30° = 9 / y

cross multiply

y = 9 / tan 30

y = 15.5884645362

y = 15.6 units

Let's find x

sin 30 = opposite / hypotenuse

sin 30° = 9 / x

x = 9 / 0.5

x = 18 units

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The total number of hours that Jane studied for her two tests were 8 ¹¹ / ₁₂ hours

To find the number of hours that Jane studied, you first need to convert the hours studied for history and math, from mixed fractions to improper fractions.

4 ² / ₃ hours :

= ( 4  x 3 + 2 ) / 3

= 14 / 3 hours

4 ¹ / ₄ hours :

= ( 4 x 4 + 1 ) / 4

= 17 / 4 hours

Add up both hours by using a common denominator of 12 :
= ( ( ( 12 / 4 ) x 17 ) + ( ( 12 / 3 ) x 14 ) ) / 12

= ( 51 + 56 ) / 12

= 8 ¹¹ / ₁₂ hours

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The full question is:

Last weekend Jane studied 4 2 3 hours for her history final and 4 1 4 hours for her math exam. How many hours in all did Jane study for the two tests?

Answer:

75

Step-by-step explanation:

trust me bro

a)

63 cans in 7 boxes.

b)

11 boxes are needed for 99 cans.

It is a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

36 cans in 4 boxes.

This means,

1 box = 36/4 cans

1 box = 9 cans

Multiply 7 on both sides.

7 box = 63 cans ______(1)

1 box = 9 cans

Multiply 11 on both sides.

11 box = 99 cans ______(2)

Now,

From (1) and (2)

a)

63 cans in 7 boxes.

b)

11 boxes are needed for 99 cans.

Thus,

63 cans in 7 boxes.

11 boxes are needed for 99 cans.

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If an equilateral triangle has an altitude of 15 meters, then the perimeter of the equilateral triangle is 30[tex]\sqrt{3}[/tex] meters

The altitude of the equilateral triangle = 15 meters

The equilateral triangle is the triangle with equal side. The interior angle of the equilateral triangle will be 60 degrees. Number of vertices and edges will be three . The line of symmetry is 3

The altitude of of the equilateral triangle h = [tex]\sqrt{3}[/tex]a /2

Where h is the altitude of the equilateral triangle

a is the side of the equilateral triangle

Then the equation will become

15 =  [tex]\sqrt{3}[/tex] a /2

[tex]\sqrt{3}[/tex]a = 15 × 2

Multiply the terms

[tex]\sqrt{3}[/tex]a = 30

Move  [tex]\sqrt{3}[/tex] to the right hand side of the equation

a = 30 /  [tex]\sqrt{3}[/tex]

a = 10[tex]\sqrt{3}[/tex] meters

The perimeter of the equilateral triangle = 3 × 10[tex]\sqrt{3}[/tex]

= 30[tex]\sqrt{3}[/tex] meters

Therefore, perimeter of the equilateral triangle is 30[tex]\sqrt{3}[/tex]

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The volume of the cylinder is approximately 1413.7 cubic centimeters.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height or length of the cylinder.

Since the base of the cylinder has a diameter of 9cm, the radius is half of that, or r = 4.5cm.

The length of the cylinder is given as 20cm.

Therefore, the volume of the cylinder is:

V = πr²h

= π(4.5)²(20)

= 1413.72 cubic centimeters (rounded to 1 decimal place)

Thus, the volume of the cylinder is approximately 1413.7 cubic centimeters.

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Complete question:

Calculate the volume of this cylinder. give your answer to 1 decimal place. Base is 9cm. Length is 20cm.

Answer:

The length is [tex]9[/tex] inches and the width is [tex]30[/tex] inches.

Step-by-step explanation:

The perimeter of the rectangle is [tex]2x + \frac{4x}{3} = 30[/tex]. We multiply [tex]3[/tex] by both sides which will give us [tex]6x + 4x = 90[/tex]. Adding, we have [tex]10x = 90[/tex]. Dividing [tex]10[/tex] by both sides will give us [tex]x = 9[/tex]. The length of the rectangle is [tex]9[/tex], and the width is [tex]\frac23 \cdot 9 = 6.[/tex] Checking our answer, we have [tex]6 + 6 + 9 + 9 = 30.[/tex] Therefore, the length of the rectangle is [tex]\boxed{9 \text{ inches}}[/tex] and the width of the rectangle is [tex]\boxed{30 \text{ inches}}[/tex].

Hope that helps!

The probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate.

For each message, we have the following probabilities:

90% probability it is spam.

10% probability it is legitimate.

Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:

The first four are all spam, each with a 90% probability.

The fifth is legitimate, with a 10% probability.

P = (0.9)⁴×0.1

P = 0.0656

Hence, the probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.

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Composition is sometimes referred to as has-a relationship.

A form of aggregation, a composition association relationship represents a whole-part relationship. The lifetime of the part classifier is a function of the lifetime of the whole classifier, according to a composition association relationship.

Data typically only flows in one direction (from the whole classifier to the part classifier) in a composition association relationship. For instance, if a student is removed from a class that has a composition association relationship with a schedule class, the schedule is also removed.

Any association may be named to describe the type of connection between the two classifiers; however, names are not required if association end names are used.

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Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.

P(A) = f / N.

probability = 2%/100=0.0002

One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.

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The surface area of a cylinder with radius 5.9 ft and height 4.4 ft is  381.8 square feet.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the  the surface area of a cylinder with radius 5.9 ft and height 4.4 ft.

The surface area of cylinder=2πr(r+h)

r=5.9

h=4.4

The value of pi is 3.14

The surface area of cylinder=2×3.14×5.9(5.9+4.4)

=37.052(10.3)

=381.8 square feet.

Hence, the surface area of a cylinder with radius 5.9 ft and height 4.4 ft is  381.8 square feet.

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Answer:

C. P = 30

Step-by-step explanation:

Parallelogram opposite (or parallel) sides are equal,

so:

2x = x + 2

5y - 9 = 2y + 3

For x:

2x = x + 2

2x - x = 2

x = 2

For y:

5y - 9 = 2y + 3

5y - 2y = 3 + 9

3y = 12

y = 4

the smallest sides are equal 2x and x + 2 => 2 * 2 = 4

the biggest sides are equal 5y - 9 and 2y + 3 => 2 * 4 + 3 = 11

P = 2 * (a + b)

P = 2 * (4 + 11)

P = 2 * 15

P = 30

i don't speak that language so i don't know what your saying. im sorry

Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.

If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.

In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.

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The function shown in this graph is y = x + 4

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see a straight line

This means that the graph is a linear function

This can be represented as

y = mx + c

From the graph, we have

c = 4 (because the graph intersects the y-axis at y = 4)

m = 1 (because a unit change in x gives a unit change in y)

So, we have

y = x + 4

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The fraction of pizza that each of them gets out of the whole pizza is 1/9.

What is meant by a fraction?

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A piece or sector of any quantity is another name for the fraction. Some of the different types of fractions are:

proper fractions, improper fractions, mixed fractions and so on.

Given 1/3rd portion of the pizza is shared by Nicole, James and Jenny.

Let us are assuming they shared the 1/3rd portion equally among themselves.

Then,

1/3 pizza = 3 people

1 person = 1/(3*3) = 1/9

Therefore the fraction of pizza that each person gets out of the whole pizza is 1/9.

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Answer:

Kurram is elder by 19 months

The word that best describes the degree of overlap between the two data sets is C. low

In statistics, data overlap refers to the situation where two or more groups being compared have some individuals or data points that have similar or identical values. When this happens, it can make it more difficult to accurately distinguish between the groups and to draw meaningful conclusions from the data.

From the given data, we can see that one data set is positively skewed while the other is negative. This shows that the data overlap is quite low.

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Answer:

$2,000

Step-by-step explanation:

The initial investment price is given by the y-value where the graph intersects the y-axis

This is at y = 2

Since the scale is in thousands of $, that would mean $2,000 as the original price

The linear equation for the given coordinate points is y=-2x+97.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the given table, the coordinate points are (3, 91) and (4, 89).

Here, slope (m)= (89-91)/(4-3)

m= -2

Substitute m=-2 and (x, y)=(3, 91) in y=mx+c, we get

91=-2(3)+c

91=-6+c

c=97

So, the equation is y=-2x+97

Therefore, the linear equation is y=-2x+97.

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Answer: No, because not all of the corresponding sides are proportional

Step-by-step explanation:

If you set up ratios for corresponding sides, you will see they all evaluate to different numerical results. This means that the sides are not in a fixed ratio, which leads us to conclude the the shapes are not scalar multiples of each other. Two of those angles are congruent though!

Answer: 54 is 18.24% of 296

Step-by-step explanation:

54:296*100 =

(54*100):296 =

5400:296 = 18.24

Now we have: 54 is what percent of 296 = 18.24

Question: 54 is what percent of 296?

Percentage solution with steps:

Step 1: We make the assumption that 296 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100% = 296

Step 4: In the same vein, x% = 54

Step 5: This gives us a pair of simple equations:

100% = 296 (1)

x% = 54 (2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have

100% over x% = 296 over 54

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% over 100% = 54 over 196

x=18.54

706.5 in³

The volume of a shape describes the amount of space a shape takes up.

Volume Formula

For a cylinder, the volume formula is V = πr²h. In this formula, V represents the total volume. Additionally, π represents the constant pi, which is approximately 3.14. The variable r represents the radius. Remember that radius is the distance from the center of the circle to the edge. Finally, h is the height of the cylinder.

Solving for Volume

The diagram shows that the radius is 5in. We know this because the distance from the center to the edge of the circle is 5in. Additionally, the height is 9in. Now, we can plug these values into the formula.

For this calculation, I used 3.14 for π. The unrounded volume in terms of pi is 225π.

The volume of the cylinder is 706.5 in³.

To simplify the expression 2(4x + 3) + (x - 3), we need to use the distributive property of multiplication over addition, and then combine like terms.

The expression 2(4x + 3) + (x - 3) contains parentheses and addition and multiplication operations, so we need to follow the order of operations to simplify it. The order of operations is:

1. Simplify any expressions inside parentheses.

2. Evaluate any exponents.

3. Perform multiplication and division, from left to right.

4. Perform addition and subtraction, from left to right.

Let's follow these steps to simplify the expression,

1. Simplify any expressions inside parentheses.

There are two sets of parentheses in the expression: (4x + 3) and (x - 3).

We can use the distributive property of multiplication over addition to eliminate the parentheses:

2(4x + 3) + (x - 3) = 8x + 6 + x - 3

2. Evaluate any exponents,

There are no exponents in the expression.

3. Perform multiplication and division, from left to right.

There is no multiplication or division to perform.

4. Perform addition and subtraction, from left to right.

We can now simplify the expression by combining like terms:

8x + 6 + x - 3 = (8x + x) + (6 - 3) = 9x + 3

Therefore, the simplified expression is 9x + 3.

In summary, the correct procedure to simplify the expression 2(4x + 3) + (x - 3) is to use the distributive property to eliminate the parentheses, and then combine like terms to obtain the simplified expression 9x + 3.

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Answer:

1) Vertical angles

2) Corresponding

3) Alternate exterior

4) Same-Side Interior

Step-by-step explanation:

Answer:

14.737

Step-by-step explanation:14 divided by .95 = 14.7368… then rounded to nearest hundred is 14.737

The equivalent solution to the equation is (-1, -2)

Given the simultaneous equation below:

Y=2x+4

y=-x+1

Since both equations are y expressions, we will equate then to have;

2x+ 4 = -x + 1

2x + x = 1 - 4

3x = -3

x = -1

For the value of y;

y = -x + 1

y = -1-1

y =-2

Hence the solution to the system of equation is (-1, -2)

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