The first histogram shows the average life expectancies for women in different countries in Africa in 1998; the second histogram gives similar data for Europe:

How much bigger is the range of the data for Africa than the range of the data for Europe?

Answer:

C.

Step-by-step explanation:

The distance between two numbers on the number line is the absolute value of the difference of the numbers.

The distance between 4 and 1 is

|4 - 1|

Answer: C.

Answer:

c

Step-by-step explanation:

its the proper way

Correct option is D) a+2b

If a is an odd integer and b is an even integer, a+2b is an odd integer.

Even numbers are ones that can be divided into two equal parts, but odd numbers cannot be divided into two equal parts.

If a is odd and b is even, then

A. 3b=3×even=even

B. a+3=odd+odd=even

C.2(a+b)=2×(odd+even)=2(odd)=even

D. a+2b=odd+2(even)=odd+even=odd

E. 2a+b=2(odd)+even=even+even=even

Hence 'D' is the correct choice.

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Answer:

C 170

Step-by-step explanation:

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.

Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB

Diameter is twice of radius.

The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius

According to the criteria of isosceles triangle angle OAB =OBA =40°

hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]

                  angle AOB= 100 degrees.

We get, AOB = 100 degrees

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With some give information, we need to solve some algebraic problems that involve a change of units, lets see step by step how we do that:

A) First, we know that:

The bridge was constructed in 2.5 years

Knowing that 1 year =  12 months, we can rewrite:

2.5 years = (2.5)*(12 montsh) = 28 months

The two crews built, together, 12,513 ft of the bridge.

Now, we know that the South Padre Island crew built an average of 208.5 per month.

Then in the 28 months for the whole construction, they built 28 times that amount:

D = (28 months)*(208.5 per month)  = 5,838 ft

Then the rest was constructed by the Port Isabel Crew.

They constructed 12,513 ft -  5,838 ft = 6,675ft

So that crew constructed 6,675 ft in 28 months, then the average number of feet built per month (the quotient between the total amount built and the number of months in which that was built) is:

6,675 ft/28 months = 238.39 ft per month.

b)

South Padre Island crew constructed  5,838 ft

Port Isabel Crew constructed 6,675ft

Now we want to transform these to miles.

Remember that;

1 mille = 5280 ft.

Then to transform from ft to miles, we just need to divide our measures by 5280 ft

Then:

South Padre Island crew constructed  5,838 ft = (5,838ft/5280ft) mi = 1.11 mi

Port Isabel Crew constructed 6,675ft = (6,675ft/5280ft) mi = 1.26 mi

c) Is this answer reasonable?

Mathematically, yes, both crews constructed about the same in about the same time, with a small difference that may be related to the sizes of each crew or something like that.

We could conclude that this would not be reasonable if the monthly rates were dramatically different.

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You should sell the perfume for at least 278.40 euros to cover the cost of ingredients and achieve a 20% profit margin.

To determine the minimum selling price for the perfume, we need to calculate the total cost of the ingredients and then add a desired profit margin.

Let's calculate the cost of each ingredient first:

Cost of essence = 1 liter × 200 euros/liter = 200 euros

Cost of alcohol = 5 liters × 6 euros/liter = 30 euros

Cost of water = 2 liters × (cost per liter in euros)

Let's assume the cost of water is 1 euro per liter. In that case, the cost of water would be:

Cost of water = 2 liters × 1 euro/liter = 2 euros

Now we can calculate the total cost of the ingredients:

Total cost = Cost of essence + Cost of alcohol + Cost of water

= 200 euros + 30 euros + 2 euros

= 232 euros

To determine the minimum selling price, you need to add a desired profit margin.

Let's assume you want a 20% profit margin.

To calculate the selling price, you would add 20% of the total cost to the total cost:

Selling price = Total cost + (Profit margin × Total cost)

= 232 euros + (0.20 × 232 euros)

= 232 euros + 46.40 euros

= 278.40 euros

Therefore, you should sell the perfume for at least 278.40 euros to cover the cost of ingredients and achieve a 20% profit margin.

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Translation :-

A PERFUME MANUFACTURER MIXES 1 LITER OF ESSENCE

WITH 5 LITERS OF ALCOHOL AND 2 LITERS OF WATER. THE ESSENCE

IT COSTS 200 EUROS / LITER, ALCOHOL 6 EUROS / LITER AND WATER

EUROS PER LITER. HOW MUCH SHOULD YOU SELL AT LEAST THE

PERFUME?

The function g(x)  whose graph is the horizontal shrink of the given graph of  f(x) =5x-6 by a factor (horizontal shrink factor) of 1/4 is  g(x)=5/4 x-6.

As per the question statement, we are supposed to find a function g(x) whose graph is a horizontal shrink of the given graph of f(x) =5x-6 by a factor of 1/4.

Before solving it lets assume f(x)=y

so y =5x-6

Comparing with y= mx+c  where m is the slope

so in y =5x-6  slope is m=5

For applying horizontal shrink by a factor of 1/4 we need to multiply the slope by a factor of 1/4

so new slope \(m_{1} =5*\frac{1}{4} =\frac{5}{4}\)

Therefore \(g(x) = \frac{5}{4} x -6\)

Therefore the function \(g(x)\) whose graph is a horizontal shrink of the given graph of  \(f(x) = 5x-6\)  by a horizontal shrink factor of  1/4  is \(g(x) = \frac{5}{4} x -6\)

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In the given case, people staying away from the city centre are not being irrational but, their opportunity cost of commuting must be lower

Opportunity cost is the price of forgone options or the worth of the next best option that must be given up in order to pursue a certain choice. The opportunity cost of commuting might encompass not just the time and money spent on transportation, but also the advantages and disadvantages of living in various places. In the given case, living close to the city centre, could make it simpler to access social events, entertainment, and cultural activities, while relocating further away might provide you access to more space, privacy, and natural surroundings.

As a result, depending on their personal and professional ambitions, financial limitations and other considerations, different people may have various preferences and trade-offs when deciding where to live and how much to commute. Some people might put their commute time and cost reduction first, while others might put other aspects of their lifestyle and surroundings first.

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Step-by-step explanation:

j(x) = 2x + 9

=> 2x + 9 = j(x)

=> 2x = j(x) - 9

=> x = [j(x) -9] / 2 = [67 - 9] / 2 = 58 / 2 = 29

By finding the maximum number of yards, then feet, then inches, if the input is 50, then the output is 1 yard, 4 feet, and 2 inches.

To convert a length in inches to yards, feet, and inches

Note the followings:

There are 12 inches in a foot and 3 feet in a yard.

Divide the total length in inches by 36 (the number of inches in a yard) to find the number of yards, then take the remainder and divide it by 12 to find the number of feet, and finally take the remaining inches.

Given that, the input is 50 inches, the output  will be

Maximum number of yards: 1 (since 36 inches is the largest multiple of 36 that is less than or equal to 50)

Maximum number of feet: 4 (since there are 12 inches in a foot, the remainder after dividing by 36 is 14, which is equivalent to 1 foot and 2 inches)

Remaining inches: 2 (since there are 12 inches in a foot, the remainder after dividing by 12 is 2)

Therefore, 50 inches is equivalent to 1 yard, 4 feet, and 2 inches.

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The values of k are not restricted by any conditions, and k can take any real value.

To find all values of k for the function f(x), we need to consider the two cases: when x is not equal to -5 and when x is equal to -5.

Case 1: x is not equal to -5

In this case, we can simplify the function f(x) by factoring the numerator and denominator:

f(x) = (x^2 + 3x - 15) / (x + 2x - 15)

The numerator can be factored as (x - 3)(x + 5), and the denominator can be factored as (x - 3)(x + 5). Therefore, we can simplify f(x) as:

f(x) = (x - 3)(x + 5) / (x - 3)(x + 5)

Notice that (x - 3) and (x + 5) cancel out in the numerator and denominator, leaving us with:

f(x) = 1

This means that for any value of x that is not equal to -5, the function f(x) will always be equal to 1.

Case 2: x is equal to -5

In this case, the value of f(x) is determined by the value of k, as stated in the problem. Therefore, when x is equal to -5, we have:

f(-5) = k

So, the value of f(x) when x is equal to -5 is simply k.

In summary:

For x ≠ -5, f(x) = 1.

For x = -5, f(x) = k.

Therefore, the values of k are not restricted by any conditions, and k can take any real value.

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Answer:

20

Step-by-step explanation:

You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D

Answer:

A. He paid to have Christian churches built.

l hope it helps❤❤

Answer:

a

Step-by-step explanation:

The area of the figure is the amount of space on it, and the calculated area is 48.6 square feet

The figure is a triangle with the following parameters:

Base = 20

Height = 4.86

The area of a triangle is:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * 20 * 4.86

Evaluate

Area = 48.6

Hence, the calculated area is 48.6 square feet

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To find the probability of rolling an odd number, we need to add up the probabilities of rolling 1, 3, or 5.  Therefore, the probability of rolling an odd number on this loaded die is 4/7.

1. There are 6 numbers on a die (1, 2, 3, 4, 5, and 6).
2. 3 appears twice as often as the other numbers, while the other 5 numbers are equally likely.

Let's assume the probability of getting each of the other numbers (1, 2, 4, 5, 6) is x. Since 3 appears twice as often, its probability would be 2x. The total probability is 1, as one of these numbers will definitely show up when the die is rolled:

1x + 1x + 2x + 1x + 1x + 1x = 1
7x = 1
x = 1/7

Now, let's find the probability of rolling an odd number (1, 3, or 5):
First, we need to find the probability of rolling each number on the loaded die. Since 3 appears twice as often as the other numbers, its probability is 2/8 or 1/4. The probability of rolling each of the other five numbers is 1/8.

P(1) = x = 1/7
P(3) = 2x = 2(1/7) = 2/7
P(5) = x = 1/7

The probability of rolling an odd number is the sum of the probabilities of rolling a 1, 3, or 5:

P(odd) = P(1) + P(3) + P(5) = (1/7) + (2/7) + (1/7) = 4/7

So the probability of rolling an odd number on this loaded die is 4/7.

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Based on the information given, the explanatory variable will be the SAT prep program and the response variable is the student's scores.

The information given is that the researcher conducts an experiment to investigate whether an SAT prep program would improve students' scores on the SAT.

The explanatory variable is the factor that is manipulated by the researcher. The response variable is the result of the experiment.

In this case, the explanatory variable is the SAT prep program and the response variable is the student's scores.

In this case, the treatment will be the 120 students that took part in the research. They're the ones that are exposed to manipulation by the researcher.

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Answer:

Lashonda has driven 16 miles.

Step-by-step explanation:

4/5 = ?/20

You're able to solve the missing variable in a lot of ways, but cross multiplication is one of them.

20 · 4 = 80

80/5 = 16

I hope this helped! Happy new year :)

The measure of the length of the arc of a circle is \(\frac{9\pi }{2}\) inches.

The arc length is simply the distance between two points along a section of a curve in a circle.

It can be expressed as:

Length of arc = θ × r

Where θ is the central angle in radian and r is the radius.

Given the data in the question:

Subtended Central angle in radian θ = 3π/4

Radius r = 6 inches

Length of arc =?

Plug these values into the above formula and solve for the arc length.

Length of arc = θ × r

Length of arc = 3π/4 × 6 in

Length of arc = \(\frac{9\pi }{2}\) in

Therefore, the arc length measures  \(\frac{9\pi }{2}\) inches.

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122° and angle 1 are alternate interior angles and hence they are equal.

m1 = 122°

122° + angle 2 = 180° [sum of co interior angles is 180°]

angle 2 = 180° - 122°

m2 = 58°

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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The height of the helium tank is; Option D: 36 inches

The formula for the volume of a cylinder is;

V = πr²h

Where;

V is volume

r is radius

h is height

We are given;

Radius(r) = diameter/2 = 12/2

r = 6 inches

Volume; V = 1296π in³

1296π = π * 6² * h

h = 1296/36

h = 36 inches

We conclude that is the height if the helium tank

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Answer:

its height is 36 inches

Step-by-step explanation:

Answer:y=-4/5x+4

Step-by-step explanation:

Answer:

y = -4/5 + 4

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

the brackets make the 3 positive

Step-by-step explanation:

here's the answer to your question

Answer:

2

Step-by-step explanation:

next two the = there are 2 ys

Answer:

Only 1

Step-by-step explanation:

It does not have the same slope thus meaning its not it does not have infinite or no solution, which leaves out 1 solution

Answer: 19°

Step-by-step explanation: 90+71= 161

180-161= 19

(correct me if i’m wrong):)