you deposit $2,750 in a savings account. you can earn 25% interest each year. how much money will you have in your account after 4 years?

The probability is the ratio of the favorable event to the total number of events. Then the correct option is A.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A family has two children.

If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair.

Let X represent the number of times G occurs.

The table will be

   X                P(X)

   0                0.25

   1                 0.50

   2                0.25

Then the correct option is A.

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer: y = 6x+3

Step-by-step explanation:

Answer:

the y intercept is 5

Step-by-step explanation:

Triangle AEM is congruent to triangle DEN by SAS congruence criterion.

What do you mean by congruence of triangle?

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. If moved, they coincide with one other. The sign of congruence is’ ≅’. After proving triangles congruent, the remaining dimension can be predicted without actually measuring the sides and angles of a triangle.

In triangle AEM and triangle DEN

AE = DE (Given)

ME = NE (As In triangle MEN , angle M = angle N and sides opposite to equal angles are equal)

angle MEA = angle NED (Vertically opposite angles)

Triangle AEM ≅ Triangle DEN (By SAS congruence criterion)

Therefore, both the trinagles are congruent by SAS congruence criterion.

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As we move from the top layer (crust) to the bottom layer (lower mantle), the density of the Earth generally increases.

We have,

The table provided shows the density values for different layers of the Earth, specifically the crust, upper mantle, and lower mantle.

From the given data, we can observe that the density increases as we move from the top layer (crust) to the bottom layer (lower mantle).

The crust has the lowest density, ranging from 2.2 to 2.9 g/cm³.

As we move downwards to the upper mantle, the density increases to a range of 3.4 to 4.4 g/cm³.

Finally, in the lower mantle, the density further increases to a range of 4.4 to 5.6 g/cm³.

This pattern suggests that the materials present in the lower layers of the Earth are denser than those in the upper layers.

This aligns with the understanding that the Earth's interior becomes progressively denser towards the core, as different materials with varying densities and compositions are found at different depths.

The variation in density is attributed to the different compositions of rocks and minerals present in each layer.

The denser materials in the lower layers likely consist of heavier elements and compounds, contributing to the overall increase in density.

Therefore,

Based on the information in the table, we can conclude that there is a general trend of increasing density as we move deeper into the Earth's layers, from the crust to the upper mantle and then to the lower mantle.

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The complete question:

                           Density

Layer                top    bottom

crust                 2.2      2.9

upper mantle   3.4      4.4

lower mantle   4.4       5.6

You have learned that different types of rocks are found in Earth’s layers. Their composition affects their densities. What can you conclude based on the information in the table?

2 feet : 12/5 minutes

1/8 foot: 1 2/3 minutes

3 feet : 4 2/3 minutes

1 5/8 feet :2 minutes

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, whereas the ratio of lemons to oranges is 6:8. Ratios contrast two figures by typically dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

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z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.

It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.

For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.

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The cross-sectional area of the water in the pipe is approximately 442.73 square centimeters.

To find the cross-sectional area of the water in the pipe, we can start by visualizing the given information.

Let's denote the center of the circle as O. We are given that PQ = 9.6 cm, and the surface of the water is 3 cm below the center O.

First, let's find the radius of the circle. Since PQ is a chord of the circle, it passes through the center O. Thus, the radius of the circle is half of PQ, which is 9.6 cm / 2 = 4.8 cm.

Now, we need to find the height of the water in the pipe, which is the distance from the center O to the water surface. This height is given as 3 cm.

To calculate the cross-sectional area of the water in the pipe, we need to determine the area of the shaded region, which is a circular segment.

The formula for the area of a circular segment can be given as:

A = r^2 * (θ - sinθ) / 2

where A is the area, r is the radius, and θ is the central angle of the segment.

In this case, we need to find the central angle θ. We can determine θ by finding the inverse sine of the ratio of the height of the segment to the radius of the circle.

sinθ = height / radius = 3 cm / 4.8 cm ≈ 0.625

Taking the inverse sine of 0.625, we find θ ≈ 39.23 degrees.

Now we can calculate the area A using the formula:

A = (4.8 cm)^2 * (39.23° - sin(39.23°)) / 2

Evaluating this expression, we find:

A ≈ (23.04 cm^2) * (39.23° - 0.625) / 2

A ≈ (23.04 cm^2) * 38.605 / 2

A ≈ 885.46 cm^2 / 2

A ≈ 442.73 cm^2

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3+2=5

Milk =3/5×640 = 384

Curd 2/5×640 = 256

Answer:

m = \(\frac{37}{30}\) or 1.23

Step-by-step explanation:

6m + 2.3 = 9.7

6m = 9.7 - 2.3

6m = 7.4

m = \(\frac{37}{30}\) or 1.23

The lenght is the circumference of that 3in circle.

the circumference of a circle = 2\(\pi\)r

= 2*3*\(\pi\)

= 6\(\pi\)

So the area of the rectangle = 8.2 * 6\(\pi\)

= 49.2\(\pi\)

Pick the last answer

The area of the label is 49.2π square inches.

To find the area of the label, we need to calculate the area of the rectangle. The formula to calculate the area of a rectangle is A = length × width. In this case, the length of the rectangle is 8.2 inches, which matches the height of the cylinder. The width of the rectangle is equal to the circumference of one of the circles, which can be calculated using the formula C = 2πr, where r is the radius of the circle. Since the radius is 3 inches, the circumference is 2π(3) = 6π inches. Therefore, the area of the rectangle, which is the label, is 8.2 × 6π = 49.2π square inches.

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For the given quadratic function, we have that:

The x-intercepts of the function are the same as the zeros, that is, the values of x for which f(x) = 0.

For this problem, the function is defined as follows:

f(x) = -2x² - 4x.

Hence the x-intercepts are given as follows:

-2x² - 4x = 0

2x² + 4x = 0

2x(x + 2) = 0.

Hence:

The numeric value at x = -4 is calculated replacing each instance of x by -4, hence:

f(-4) = -2(-4)² - 4(-4) = -16.

We have to solve for x as follows:

-2x² - 4x = 2

2x² + 4x + 2 = 0

x² + 2x + 1 = 0

(x + 1)² = 0.

x = -1.

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Answer:

15% left

Step-by-step explanation:

He had 300 to start with and spent 60% ($180) and then spent 25% ($75) so he has 15% left or $45

Answer:

2/3 My guy

Step-by-step explanation:

Answer:

The completeness property for points in the plane tells us two things

Exactly one point in the plane is named given the numbers of the ordered pair and

Exactly one ordered pair of numbers names a given point in the plane.

To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

Using trigonometric functions :

From the problem, we have a hypotenuse of 22.25 cm and an angle of 31°28'

To find A, we will use the sine function :

To find B, we will use the cosine function :

The total length is the sum of A and B :

A + B = 11.615 + 18.978 = 30.59

The answer is 30.59 cm

If Janice knows that there are 5 cats for every 2 dogs in the neighborhood, the ratio of cats to dogs is 5:2 that also can be expressed as the number 5/2.

Answer:

6/63

Step-by-step explanation:

To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator

Answer:

2/21

Step-by-step explanation:

There were a total of 7+6+12+19+19=63 spins, 6 of which blue.

So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin

The service fees totaled $88 B.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

According to our question-

816 * 5 * 12= 48960

If the P and I totaled 48872, then...

48960 - 48872= 88

hence, The service charges were $88 B

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Answer:

are you from Philippines?

Step-by-step explanation:

because I want to know gehe

The equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is; m = (55.5 - 19)/5

Distance that she wants to ride this week = 55.5 miles

Distance she has already ridden so far = 19 miles

Now, we are told that she will ride 5 more days.

If m is the average number of miles she has to ride to meet her goal, then we can say that;

5m + 19 = 55.5

Making m the subject by, we have;

m = (55.5 - 19)/5

Thus, the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal is;

m = (55.5 - 19)/5

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Answer:

The answer is c.

Step-by-step explanation:

\(a_{1} =-1*(-4)x^{n-1}\)

\(a_{1} =-1(-4)^{1-1}\)

\(a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1\)\(a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4\)\(a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16\)

Answer:

960 ways

Step-by-step explanation:

Multiplication Principle:  if there are  n  ways to do one thing and  m  ways to do another, then there are  m x n ways to do both.

That can expand to include three things (or more).

8 x 10 x 12 = 960

Answer:

1.274cm

Step-by-step explanation:

Answer:

50.27

Step-by-step explanation:

A= πr²

4²xπ= 16π

Answer: 44

Step-by-step explanation:

Since ABC=DBC. that means A=D so that would mean 44=D since A=44 and they’re both congruent (equal)

Answer:

its 44

Step-by-step explanation: