how many 1/2 are in 3 1/2

To analyze the variables Birth Rate and Death Rate at the same time the scatter plot would be appropriate to use.

A scatter chart, also called as a scatter plot, is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.

Modern scatter charts are based on René Descartes' 17th-century cartesian coordinates system, albeit their exact origins are unknown. The majority of scatter plots used in science journals and publications may be found there.

One of the most adaptable and practical inventions in the history of statistical graphs is the scatter chart. This can seem like a bold statement, but scatter charts help make sense of muddled data. They are a tool for discovery as well as visualisation, which is a much bigger role for them.

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There are 3,003 different ways to form the committee.

To calculate the number of different ways to form the committee, we can use the concept of combinations. The number of combinations of n objects taken r at a time is given by the formula:

C(n, r) = n! / (r!(n-r)!)

In this case, we have 15 members in the academic senate and we want to form a committee of 5 members. Plugging the values into the formula, we have:

C(15, 5) = 15! / (5!(15-5)!)

= 15! / (5! * 10!)

= (15 * 14 * 13 * 12 * 11) / (5 * 4 * 3 * 2 * 1)

= 3,003

Therefore, there are 3,003 different ways to form the committee of 5 members from the 15 members of the academic senate.

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No, Alice and Bob do not show up at the bar independently.

To determine whether Alice and Bob show up at the bar independently, we need to compare the joint probability of both events occurring (Alice and Bob showing up) with the product of their individual probabilities.

Let's fill in the contingency table using the given probabilities:

```

           | Alice shows up | Alice does not show up

----------------------------------------------------

Bob shows up |                |

----------------------------------------------------

Bob does not show up |          |

```

We are given that the probability of Bob showing up is 53.9% and the probability of Alice showing up is 22.3%. We are also given that 35.8% of the time neither Alice nor Bob are at the bar. Let's calculate the remaining probabilities:

The probability of both Alice and Bob showing up is not explicitly given. However, we can calculate it using the given probabilities. Let's denote this probability as P(Alice and Bob).

P(Alice and Bob) = P(Alice) + P(Bob) - P(Alice and Bob does not show up)

               = 0.223 + 0.539 - 0.358

               = 0.404

The probability of Alice showing up and Bob not showing up can be calculated as:

P(Alice shows up and Bob does not show up) = P(Alice) - P(Alice and Bob does not show up)

                                         = 0.223 - 0.358

                                         = -0.135

Since the resulting probability is negative, it doesn't make sense, and therefore, the probability of Alice showing up and Bob not showing up is 0.

Similarly, the probability of Bob showing up and Alice not showing up can be calculated as:

P(Bob shows up and Alice does not show up) = P(Bob) - P(Alice and Bob does not show up)

                                         = 0.539 - 0.358

                                         = 0.181

Now, let's fill in the contingency table with the calculated probabilities:

```

           | Alice shows up | Alice does not show up

----------------------------------------------------

Bob shows up |    0.404       |       0.181

----------------------------------------------------

Bob does not show up |          |      0.415

```

To determine if Alice and Bob show up independently, we compare the joint probability of both events occurring (0.404) with the product of their individual probabilities (0.223 * 0.539 = 0.120). Since the joint probability is not equal to the product of their individual probabilities, we can conclude that Alice and Bob do not show up at the bar independently.

In other words, the presence of one person affects the probability of the other person showing up at the bar, indicating a dependency between their attendance.

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The greatest possible length of the line segment joining two points on the circle is 8 cm, which is equal to the diameter of the circle.

The greatest possible length of a line segment joining two points on a circle is equal to the diameter of the circle.

In this case, the circle has a radius of 4 cm. The diameter of a circle is twice the length of the radius. Therefore, the diameter of this circle is 2 * 4 cm = 8 cm.

Hence, the greatest possible length of the line segment joining two points on the circle is 8 cm, which is equal to the diameter of the circle.

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Answer:

The question has the answer in it.. Maddy's speed.. which is 3 MPH :/ but... if you need to find the thing that isn't known... Maddy's time.. here is how..

Step-by-step explanation:

Max takes 3 hours at 2 mph.. soo 3x2=6 miles that max traveled

Maddy runs at 3 mph  so .. 6 miles / 3MPH  =2 hours,  Maddy takes 2 hours

The Taylor polynomial of degree 4 for cos(x), for x near 0, can be found by expanding the function as a power series centered at x = 0.

The general formula for the Taylor polynomial of degree n for a function f(x) centered at x = a is:

Pn(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ... + f^n(a)(x - a)^n/n!

For cos(x), we have:

f(x) = cos(x)

f'(x) = -sin(x)

f''(x) = -cos(x)

f'''(x) = sin(x)

f''''(x) = cos(x)

Evaluating these derivatives at x = 0:

f(0) = cos(0) = 1

f'(0) = -sin(0) = 0

f''(0) = -cos(0) = -1

f'''(0) = sin(0) = 0

f''''(0) = cos(0) = 1

Plugging these values into the general formula, we get:

P4(x) = 1 + 0(x - 0) + (-1)(x - 0)^2/2! + 0(x - 0)^3/3! + 1(x - 0)^4/4!

Simplifying the terms:

P4(x) = 1 - (x^2)/2! + (x^4)/4!

Therefore, the Taylor polynomial of degree 4 for cos(x), for x near 0, is:

P4(x) = 1 - (x^2)/2! + (x^4)/4!

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The mean of the five numbers 223, 264, 216, 218, and 229 is 230.

To calculate the mean, follow these steps:
1. Add the numbers together: 223 + 264 + 216 + 218 + 229 = 1150
2. Divide the sum by the total number of values: 1150 / 5 = 230
The mean represents the average value of the dataset. In this case, the mean value of the five numbers provided is 230, which gives you a central value that helps to understand the general behavior of the dataset. Calculating the mean is a bused in statistics to summarize data and identify trends or patterns within a set of values.

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To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.

The total number of people who like only two fruits is 22, and they like at least one of the fruits.

Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:

6 - (23 + 8 + 0)

= 6 - 31

= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.

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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.

This principle helps us calculate the number of elements that belong to at least one of the given sets.

Let's break it down:

1. Start by adding the number of people who like each individual fruit:
  - 45 people like apples
  - 30 people like bananas
  - 15 people like oranges

2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.

3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".

Using the inclusion-exclusion principle, we can set up the following equation:

    45 + 30 + 15 - 22 + x = 6

Simplifying the equation, we get:

    68 + x = 6

Subtracting 68 from both sides, we find that:

    x = -62

Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.

In conclusion, there are no people in the group who like all three fruits.

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Answer:

(x+6)(x-2)

Step-by-step explanation:

Answer: $1.37

Step-by-step explanation:

\(c (t) = 18,000 (0.15)^{t}\)

t = amount of years

\(c (5) = 18,000 (0.15)^{5}\\c (5) = 18,000 * 0.0000759375\\c (5) = 1.366875\\\)

1.366875 ≈ 1.37

c (5) = 1.37

In 5 years, the value of the car should be approximately $1.37

Hope I helped!

Using translation concepts, it is found that function g(x) is defined by:

\(g(x) = \left|\frac{x}{5}\right|\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The absolute value parent function is defined by:

f(x) = |x|

When it is strecthed horizontally by a factor of 5, it means that the domain is divided by 5, hence the function is given by:

\(g(x) = \left|\frac{x}{5}\right|\)

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Functions are used to represent graphs, and vice versa.

The function represented by the graph is \(f(x) =- |x + 4| + 3\)

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

\(f(x) =a |x - h| + k\)

Where

\(Vertex = (h,k)\)

The vertex is the minimum or the maximum point on the graph.

So, we have:

\(Vertex = (-4,3)\)

The function becomes

\(f(x) =a |x + 4| + 3\)

The function also passes through the point (-1,0).

So, we have:

\(0 =a |-1 + 4| + 3\)

\(0 =a |3| + 3\)

Remove the absolute bracket

\(0 =3a + 3\)

Subtract 3 from both sides

\(3a =- 3\)

Divide both sides by 3

\(a =- 1\)

Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)

\(f(x) =- |x + 4| + 3\)

Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)

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Answer:

773 and 869 and 703 on any day

Answer:

Step-by-step explanation:

so since it’s traveling 9mi/m you need to devide 216 by the rate of 9mi/m to find how long it takes.

216/9=24 so it will take 24 minutes!

Answer:1,944 minutes

Step-by-step explanation:

if the question is a plane is traveling 9 miles per minute how much time is needed to travel 216 miles you need it is clear that you are doing a multiplication problem so multiply that and you get 1,944 minutes

your welcome

A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Cost of the food = $25.30

Tax on the food cost = 8%

Tax amount

= 8% of 25.30

= 0.08  × 25.30

= 2.204

Total cost of food before tip = 25.30 + 2.204 = $27.504

Tip given = 32.24 - 27.504 = 5.036

Tip percentage

= 5.036 / 27.504 × 100%

= 18.31%

≈ 18%

Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.

One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.

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Answer:

y=-5x+22

Step-by-step explanation:

The value of $100 in euros is $87.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Worth of 1 United States dollar is $0.87 in euros.

To find the value of $100 in Euros, use ratio property,

1 United States dollar = $0.87 in euros

100 United States dollar = $87 in euros.

The value of $100 in euros is $87.

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Answer:

4=distributive property

5=subtraction property of equality

6=addition property of equality

7 = -11=x

8= x=11

What is a slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

To find the correct answer, we need to look at the formula for a straight line: y=mx+b where m= the slope of the line and b= the y intercept. We know from the problem that the slope must be equal to -4, leaving us with y= -4x +b. From here you can substitute the given point in the equation and solve for b.

-3= -4(4) +b

-3= -16+b

+16  +16

13= b

This tells us that b=13, now we simply substitute that into the formula.

The solution to your question is y=-4x+13

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Answer:

A) 200 students

B) 24

C) 46%

D) 46% are driven by car

Step-by-step explanation:

Answer:

The answer is 5.66

Step-by-step explanation:

let the missing side be x

9² = 7² + x²

9² - 7² = x²

x² = 9² - 7²

x² = 81 - 49

x² = 32

x = √32

x = 5.66

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer: B. 9

Step-by-step explanation:

First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. The median is 18.5.

Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. The lower quartile is 14.

To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. The upper quartile is 23.

To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. The interquartile range is 9.

The given function is f: x → 3x + 2. a, b, and c by substituting them into the given function, f: x → 3x + 2. The values are as follows: a = 2, b = 8, and c = -1.

We are to determine the value of a, b, and c by substituting them in the given function.

f(0): We will substitute 0 in the function f: x → 3x + 2 to find f(0).

\(f(0) = 3(0) + 2 = 0 + 2 = 2\)

Therefore, a = 2.

f(2): We will substitute 2 in the function f: x → 3x + 2 to find f(2).

\(f(2) = 3(2) + 2 = 6 + 2 = 8\)

Therefore, b = 8.

f(-1): We will substitute -1 in the function f: x → 3x + 2 to find f(-1).

\(f(-1) = 3(-1) + 2 = -3 + 2 = -1\)

Therefore, c = -1.

Hence, the value of a, b, and c is given as follows:

\(a = f(0) = 2\)

\(b = f(2) = 8\)

\(c = f(-1) = -1\)

In conclusion, we have determined the values of a, b, and c by substituting them into the given function, f: x → 3x + 2. The values are as follows: a = 2, b = 8, and c = -1.

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If psychologists state in a report that M = 16 and SD = 4, they are reporting sample statistics. Sample statistics are calculated based on data collected from a sample.

In this case, M represents the sample mean (average) and SD represents the sample standard deviation. These values provide information about the central tendency and dispersion of the data within the specific sample that was analyzed. Population parameters, on the other hand, represent characteristics of the entire population, which are typically unknown and estimated through sample statistics. Bayesian statistics refer to a specific approach to statistical inference that incorporates prior knowledge and beliefs. Random samples are samples taken randomly from a population for analysis.

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