In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?​

The standard deviation of the sample proportion obtained from random samples of size 900 is 0.014846.

To find the standard deviation of the sample proportion obtained from random samples of size 900, we can use the formula:

standard deviation = square root of (p * (1 - p) / n)

where p is the proportion of the population with the characteristic of interest (in this case, p = 0.35), and n is the sample size (in this case, n = 900).

Plugging in the values, we get:

standard deviation = square root of (0.35 * (1 - 0.35) / 900)

standard deviation = square root of (0.00022025)

standard deviation = 0.014846

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The length and width of the terrace are 15 feet and 6 feet respectively.

The area of the terrace is 90 ft²

The scale of the plan is 2 inches : 6 feet.

Therefore, 2inches represents 6 feet.

According to the drawing;

Therefore,

The area can be found as follows:

where

l = length

w = width

Therefore,

area = 15 × 6 = 90 feet²

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Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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The two numbers that satisfy both conditions are from quadratic equation :x =

1) -10/3, y = ±(10√7)/3

2)x = 10/3, y = ±(10√7)/3.

Let's denote the two numbers as x and y. We are given the following information:

1. The sum of their squares is 100: x^2 + y^2 = 100.

2. The square of the larger number is equal to the sum of the product of the larger number and four times the smaller number and eight times the larger number: y^2 = x(4y + 8x).

To solve this problem, we can start by simplifying the second equation. By expanding the equation, we get:

y^2 = 4xy + 8x^2.

Now, we can substitute this equation into the first equation to eliminatey:

x^2 + (4xy + 8x^2) = 100.

Combining like terms, we have:

9x^2 + 4xy - 100 = 0.

To find the values of x and y that satisfy this equation, we can use various methods such as factoring, completing the square, or the quadratic formula. In this case, let's solve it by factoring.

Factoring the quadratic equation, we get:

(3x + 10)(3x - 10) = 0.

Setting each factor equal to zero, we have two possibilities:

1. 3x + 10 = 0, which gives x = -10/3.

2. 3x - 10 = 0, which gives x = 10/3.

Now that we have the values of x, we can substitute them back into one of the original equations to find the corresponding values of y. Let's use the first equation:

For x = -10/3, we have (-10/3)^2 + y^2 = 100. Solving this equation, we find y = ±(10√7)/3.

For x = 10/3, we have (10/3)^2 + y^2 = 100. Solving this equation, we find y = ±(10√7)/3.

Therefore, the two numbers that satisfy both conditions are:

1. x = -10/3, y = ±(10√7)/3.

2. x = 10/3, y = ±(10√7)/3.

These are the two sets of numbers that meet the given conditions.

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Answer: TRUE

Step-by-step explanation:

Answer:

A 4-liter container holds more than a 3500-milliliter container

Step-by-step explanation:

4 liters = 4000 milliliters

4000 > 3500

Answer:

It would be (1,6), (-2,3)

x=1, y=6

x=-2, y=3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

it will be (3)

Step-by-step explanation:

since DB is a median

then DB= half AC , AB=BC

then AB=BD

then the two triangles are isosceles

The required m∠BDC is 32° .

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

According to the given question ;

DB is a median;

By the symmetry ;

Then DB = half AC ,

        = AB = BC

Then= AB = BD

In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.

Then the two triangles are isosceles.

Means m∠DAB = m∠BDC = 32°

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A.  These equations will give us the optimal values of x and y.

B. (b) To determine which exam you would be better prepared for, we compare the Math_grade and Physics_grade using the optimal values obtained in part (a).

C. We can follow the same steps as in part (a) to set up the equations and find the optimal number of hours spent studying for the two exams.

D. the specific impact would depend on the magnitude of the increase and how it interacts with the other variables and constraints in the problem.

(a) Let's define the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

We want to maximize the average grade, which is proportional to the product of the hours spent studying and the ability to absorb the material.

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

We want to maximize the average grade:

Average grade = (math grade + physics grade) / 2

Now, let's set up the optimization problem:

Maximize: (x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x)) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

To solve this optimization problem, we can use calculus or numerical optimization methods.

(b) To determine which exam you would be better prepared for, calculate the average grade for the optimal number of hours obtained in part (a). Compare the average grade of math and physics to determine which one is higher.

(c) Now, assuming the exam scores improve by an additional 10% for every hour not studying, we need to modify the objective function in the optimization problem. Let's redefine the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

Let z represent the number of hours not spent studying (24 - x - y).

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

The additional benefit is 10% * z.

The new objective function to maximize the average grade is:

(x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x) + 0.1 * z) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

z = 24 - x - y

(d) To examine the sensitivity of the answer to the additional 10% benefit from not studying, you can perform sensitivity analysis by changing the percentage value and observing the effect on the average grade. Increasing the effect of this benefit would likely result in a higher average grade as more emphasis is placed on the additional benefit gained from not studying. However, the exact impact would depend on the specific values used and the relationships between the variables and grades.

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Answer:

1/15   gal / mile   if your numbers are correct

Step-by-step explanation:

1/5   /   15/4     =   1/5  * 4 / 15 =  4/60 = 1/15

note: remember to take the comma out or ignore it. I put it in there to help make the number more readable

===========================================

Explanation:

Let x be the value of the sale in dollars.

x-1900 represents the leftover amount that is over 1900

eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount

taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)

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

Solve for x

0.09(x-1900) = 1000

x-1900 = 1000/0.09

x-1900 = 11,111.11111 approximately

x = 11,111.11111 + 1900

x = 13011.1111

x = 13,011.11 rounding to the nearest cent

The probability that an outcome of 5 appears before an outcome of 7 is 1.

The probability of getting a 5 or a 7 in one roll of two fair dice is 6/36 = 1/6. The probability of getting a 5 before a 7 is equal to the sum of the infinite geometric series with the first term being 1/6 and common ratio 5/6:

1/6 + (5/6) * (1/6) + (5/6)² * (1/6) + ... = 1/6 / (1 - (5/6)) = 1/6 / (1/6) = 1.

So, the answer is 1.

The method used here is called the Geometric Series formula. It is used to calculate the sum of an infinite geometric series, which is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed constant called the common ratio. The formula for the sum of an infinite geometric series is:

S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio.

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Answer:

c

you have to do whatever is in the pertussis

Answer:

b

Step-by-step explanation:bb

Step-by-step explanation:

Angle 6 and Angle 3 must be supplementary to show that the 2 lines are parallel (D).

Answer:

1

Step-by-step explanation:

A. Characteristics of Nigerian and Japanese Population Pyramids:

B. Challenges and Opportunities for Nigeria and Japan:

A. Characteristics of Nigerian and Japanese Population Pyramids:

Nigerian Population Pyramid:

Nigeria is a country in West Africa with a rapidly growing population. According to the 2017 estimate you provided, Nigeria had a population of approximately 201 million people.

The Nigerian population pyramid is likely to exhibit a broad base, indicating a high proportion of young individuals in the population.

There may be a relatively larger proportion of dependents, both young and old, compared to the working-age cohorts.

Gender disparities may exist within specific cohorts, potentially reflecting cultural or socioeconomic factors.

It is important to note that specific observations regarding the Nigerian population pyramid would require visual reference to the actual data and age cohorts.

Japanese Population Pyramid:

Japan, on the other hand, is a developed country in East Asia with a more mature population structure.

The Japanese population pyramid may exhibit a narrower base and a larger proportion of older individuals, indicating a declining birth rate and an aging population.

The working-age cohorts may be relatively smaller in comparison to the dependent cohorts, both young and old.

Gender disparities within specific cohorts may be less prominent compared to Nigeria.

Again, visual reference to the actual data is necessary for more accurate observations.

B. Challenges and Opportunities for Nigeria and Japan:

Nigeria:

Challenges: Nigeria's rapid population growth poses challenges in providing essential services such as healthcare, education, and infrastructure to meet the needs of a growing population. Additionally, high youth unemployment rates and income inequality can lead to social and economic challenges.

Opportunities: Nigeria's large and youthful population can be a potential demographic dividend if properly harnessed. Investing in education, skills training, and job creation can lead to increased productivity, innovation, and economic growth.

Japan:

Challenges: Japan's aging population presents challenges such as increased healthcare and pension costs, labor force shortages, and a decline in economic productivity. The shrinking working-age population may strain social welfare systems.

Opportunities: Japan can focus on technological advancements, automation, and attracting skilled foreign workers to address labor shortages. They can also encourage policies to enhance productivity and promote active aging to tap into the potential of older workers.

Please note that the challenges and opportunities described above are general observations and should be supplemented with specific data and research on the respective countries.

C. Rate of Natural Increase (RNI) and Ecological Impact:

Unfortunately, I don't have access to the specific table in the Bjelland textbook or the appendix you mentioned. However, I can provide some general information about the regions you mentioned:

South Asia: South Asia is one of the world's most densely populated regions. It includes countries like India, Pakistan, Bangladesh, and others. The RNI in South Asia is relatively high, indicating significant population growth. The ecological impact of the region depends on various factors such as resource consumption, industrial development, urbanization, and environmental policies.

East Asia: East Asia is home to densely populated countries like China, Japan, and South Korea. While China's population growth has slowed down due to its one-child policy, other countries in the region also face challenges related to aging populations. The ecological impact of East Asia depends on factors such as industrialization, urbanization, energy consumption, and environmental regulations.

Europe: Europe has a relatively low RNI and, in some countries, faces population decline or stagnation. The ecological impact of Europe depends on factors such as energy consumption, waste management, transportation systems, agricultural practices, and environmental policies.

Africa: Africa has the highest RNI among the regions mentioned. It is experiencing rapid population growth, which can have significant ecological impacts in terms of resource consumption, land use, urbanization, deforestation, and biodiversity loss. However, it's important to note that the ecological impact of a region is not solely determined by population size or growth rate but also by consumption patterns, technological advancements, and sustainable practices.

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Answer:

D) 51 ft.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since the two triangles are equal (as said in the question):

Subtract the area of the triangles from the area of the rectangle.

Answer:

See below.

Step-by-step explanation:

\(\frac{1}{12} +\frac{1}{6} = \frac{2 + 1}{12} = \frac{1}{4}\)

\(\frac{1}{4} - \frac{1}{8}=\frac{2-1}{8} = \frac{1}{8}\)

\(\frac{2}{3} +\frac{1}{3} = 1\)

\(\frac{1}{2} - \frac{1}{6} = \frac{3-1}{6} = \frac{1}{3}\)

Answer:

1/12 + 16 = 1/4

1/4 - 1/8 = 1/8

2/3 + 1/3 = 1

1/2 - 1/6 = 1/3

Step-by-step explanation:

1/12 + 1/6

LCM of denominators 12 and 6 = 12

1/6

Multiply 2 to both numerator and denominator,

1/6 * 2/2

= ( 1*2 )/( 6*2 )

= 2/12

1/12 + 1/6

= 1/12 + 2/12

= ( 1 + 2 )/12

= 3/12

12 = 3*4

3/12

= 3/( 3*4 )

= 1/4

1/4 - 1/8

LCM of denominators 4 and 8 = 8

1/4

Multiply 2 to both numerator and denominator,

1/4 * 2/2

= ( 1*2 )/( 4*2 )

= 2/8

1/4 - 1/8

= 2/8 - 1/8

= ( 2 - 1 )/8

= 1/8

2/3 + 1/3

= ( 2 + 1 )/3

= 3/3

= 1

1/2 - 1/6

LCM of denominators 2 and 6 = 6

1/2

Multiply 3 to both numerator and denominator,

1/2 * 3/3

= ( 1*3 )/( 2*3 )

= 3/6

1/2 - 1/6

= 3/6 - 1/6

= ( 3 - 1 )/6

= 2/6

6 = 2*3

2/6

= 2/( 2*3 )

= 1/3

Answer:

im pretty sure its 250%

Step-by-step explanation:

Answer:

250%

Step-by-step explanation:

1 is 100% and double that is 200%

1/5 of 100% is 50%

200% + 50% = 250%

Answer:

A. 6 inches = 105 miles

B. 3.5 inches = 61.25 miles

C. 8 inches = 140 miles

D. 5 inches = 87.5 miles

E. 10 inches = 175 miles

F. 12 inches = 210 miles

G. 14 inches = 245 miles

Step-by-step explanation:

The scale we are given can also be seen as a ratio.

⭐What is a ratio?

But, what if you wanted to find out how many inches 40 miles in real life is? Or how many miles 10 inches on a map is? To find out, you'd need to make a proportion.

⭐What is a proportion?

Thus, for each problem, we have to make a proportion.

The proportion will be different for each problem.

However, one ratio will be the same: 2 inches/35 miles, because it is the scale.

A.

First, we need to create 2 ratios to set equal to each other. We already know one ratio: 2 inches/35 miles.

We want to know how many miles 6 inches is on the map.

Therefore, our second ratio will be 6 inches/x miles.

Next, set these two ratios equal to each other. Make sure you keep the same units as the numerators and denominators.

\(\frac{2 inches}{35 miles} = \frac{6 inches}{x miles}\)

Finally, solve for x.

To do so, cross multiply (multiply the opposite terms together).

\(2x = 6(35)\)

\(2x = 210\) . . . .  divide both sides by 2

∴ x = 105

For all of the other problems, just repeat the same thing but replace the "6 inches" with the inches you are given in the problem.

I will do another example.

B. First, we need to create 2 ratios to set equal to each other. We already know one ratio: 2 inches/35 miles.

We want to know how many miles 3.5 inches is on the map.

Therefore, our second ratio will be 3.5 inches/x miles.

Next, set these two ratios equal to each other. Make sure you keep the same units as the numerators and denominators.

\(\frac{2 inches}{35 miles} = \frac{3.5 inches}{x miles}\)

Finally, solve for x.

To do so, cross multiply (multiply the opposite terms together).

\(2x = 3.5(35)\)

\(2x = 122.5\) . . . .  divide both sides by 2

∴ x = 61.25 miles

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Step-by-step explanation:

Braziliannngffcghjhhb

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Answer:

The mean is 3

Step-by-step explanation:

The graph of the polar equation r = 2 - 4cos(θ) exhibits symmetry, zeros, maximum r-values, and additional points that can help us sketch the graph.

The equation r = 2 - 4cos(θ) represents a cardioid shape. It has symmetry about the polar axis (θ = 0) due to the even nature of the cosine function.

To find the zeros, we set r = 0 and solve for θ. Setting 2 - 4cos(θ) = 0, we find cos(θ) = 1/2, which occurs at θ = π/3 and θ = 5π/3. These are the two points where the graph intersects the polar axis.

The maximum r-value occurs when cos(θ) = -1, which happens at θ = π. At this point, r = 6, indicating the maximum distance from the pole.

Additional points can be found by substituting different values of θ into the equation. By choosing θ = π/6, π/4, π/2, 3π/4, and 7π/6, we can calculate the corresponding r-values and plot these points on the graph.

By considering these symmetry, zeros, maximum r-values, and additional points, we can sketch the graph of the polar equation r = 2 - 4cos(θ) accurately.

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Answer:

given in picture

Step-by-step explanation:

(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)

Answer:

See attached

Step-by-step explanation:

Solution is in the attached picture

Answer:

-14

Step-by-step explanation:

(-5)+(-2)-8-(-1)

-5-2-8+1

-7-8+1

-15+1

-14

Answer:

-14

Step-by-step explanation:

(-5)+(-2) - (+8) - (-1)

-5-2-8+1

-15+1

-14