The diorama of a town uses the scale 5 inches : 10 miles. If the diorama measures approximately 60 inches across, what is the approximate measure of town?

Kofi received 9,000 more amount than Edo.

given that

Edo and kofi shared an amount of 21,000. 00 in the ratio 2:5respectively

To find out how much more Kofi received than Edo, we need to first find out how much each person received based on the given ratio.

Let's call the amount of money that Edo received "E" and the amount that Kofi received "K".

The ratio of the amounts that they received is given as 2:5, which means that we can represent the amounts as:

E:K = 2:5

We can rewrite this as:

E/K = 2/5

We know that the total amount of money they received is 21,000, so we can also write:

E + K = 21,000

Now we can use these two equations to solve for E and K:

E/K = 2/5

E + K = 21,000

First, let's solve the first equation for E in terms of K:

E/K = 2/5

E = (2/5)K

Now we can substitute this expression for E into the second equation and solve for K:

E + K = 21,000

(2/5)K + K = 21,000

(7/5)K = 21,000

K = (5/7) * 21,000

K = 15,000

So Kofi received 15,000.

Now we can find out how much more Kofi received than Edo by subtracting Edo's amount from Kofi's amount:

K - E = 15,000 - (2/5) * 15,000

K - E = 15,000 - 6,000

K - E = 9,000

Therefore, Kofi received 9,000 more than Edo.

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The value of tan C is simplest form is,

⇒ tan C = 3 / 4

We have to given that;

A right triangle CDE is shown in figure.

Now, We know that,

⇒ tan θ = Opposite / Base

Here, we have in triangle CDE,

Opposite = 12

Base = 16

Hence, By substituting, we get;

⇒ tan θ = Opposite / Base

⇒ tan C = 12 / 16

⇒ tan C = 3 / 4

Therefore, The value of tan C is simplest form is,

⇒ tan C = 3 / 4

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Answer:

a) The Margin of Error = 0.26

b) The 99% Confidence Interval = ( 2.84, 3.36)

Step-by-step explanation:

a) Margin of Error

The formula for Margin of Error =

z × Standard deviation/√n

From the above question

The z score for 99% confidence interval = 2.576

Standard deviation = 0.72

n = Random number of samples = 50

Margin of Error =

2.576 × 0.72/√50

= 1.85472 /√(50)

= 0.2622970178

Approximately to 2 decimal places = 0.26

b) 99% Confidence Interval

= Mean ± Margin of Error

Mean = 3.1mm

Confidence Interval = 3.1 ± 0.26

3.1 ± 0.26

= 2.84

3.1 + 0.26

= 3.36

The 99% Confidence Interval = ( 2.84, 3.36)

The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

Left up x=34

Left down x=87

Right x=17

Step-by-step explanation:

The picture is the working out.

The given statement "The General Law of Multiplication is used to calculate the probability of the union of two events" is false because the General Law of Multiplication, also known as the Product Rule, is used to calculate the probability of the intersection of two events, not the union.

To calculate the probability of the union of two events, we use the Addition Rule, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection, if they are not mutually exclusive. If the events are mutually exclusive, then we can simply add their probabilities.

Therefore, it is important to understand the difference between the union and intersection of events and which rules to use for each type of probability calculation.

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In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer: 52

Step-by-step explanation:

x + y = 12 and

$3.50x + $5.50y = $52

x + y = 12

x-x + y = 12 - x

y = 12 - x

$3.50x + $5.50 (12-x) = $52

3.50 x + 66 - 5.50x = 52

66-2x= 52

66-66-2x= 52-66

-2x = -14

2x = 14

x = 7

y = 12 - x

y = 12 - 7 = 5

Hence, you bought 7 calla lilies and 5 peonies!

Check:

3.50 (7) + 5.50 (5) = 24.50 + 27.50 = 52

Answer:

6.5

Step-by-step explanation:

Not hard. Organize the numbers from least to greatest.

-19, -8, -2, 6, 6, 7, 13, 15, 16, 19

The middle numbers are 6 and 7, add them up, divide by two to get 13/2 = 6.5

Answer:

The median is 5.5.

Step-by-step explanation:

You can find the median by looking at the middle of the number sequence.

In this case the median would be 5.5 bc the sequence includes 2 numbers that are in the middle making the median 5.5.

Ok, so to find the median in a sequence of 10 number you would have to add the two middle numbers then divide the answer by two to find the answer.

Hope this helps:)

-8+19=11

11/2=5.5

Answer:

x = 4

Step-by-step explanation:

2x(x) + 28 = (2x + 2)(x + 2) ← expand factors using FOIL

2x² + 28 = 2x² + 6x + 4 ( subtract 2x² from both sides )

28 = 6x + 4 ( subtract 4 from both sides )

24 = 6x ( divide both sides by 6 )

4 = x

Answer: -2 goes on 3 7 goes

Son 1 5 goes on -1/10 goes on lasttep-by-step explanation:

Answer:

7, 0.8, -1/10, -0.8, -2, -3

Step-by-step explanation:

Answer:

882 cubic ft.

Step-by-step explanation:

10.5 x 10.5 = 110.25

110.25 x 8 = 882 ft

Answer:

the volume of a room = 882 ft³

Step-by-step explanation:

given;

dimensions  of a room 10 1/2 ft. x 10 1/2 ft. x 8 ft.

find:

volume

volume = L x W x H

let L = 10 1/2 ft.

W = 10 1/2 ft.

H = 8 ft.

plugin values into the formula:

V = 10.5 x 10.5 x 8

V = 882 ft³

therefore,

the volume of a room = 882 ft³

Selection-sort sorts an array of n elements by repeatedly finding the next smallest/largest item in the array and placing it in its correct position until the entire array is sorted.

Selection-sort is an algorithm for sorting an array of n elements by repeatedly finding the next smallest/largest item in the array and placing it in its correct position.

The algorithm starts by considering the entire array as unsorted and the sorted part of the array as empty.

It then iterates through the unsorted part of the array to find the smallest/largest item, depending on whether it is sorting in ascending or descending order.

Once the smallest/largest item is found, it is swapped with the first element of the unsorted part of the array, effectively placing it in its correct position in the sorted part of the array.

The algorithm then repeats steps 2 and 3, considering the remaining unsorted part of the array until the entire array is sorted.

The process continues until all elements are sorted in their correct positions, resulting in a sorted array.

Therefore, selection-sort sorts an array of n elements by repeatedly finding the next smallest/largest item in the array and placing it in its correct position until the entire array is sorted.

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The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)

Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.

p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.

Therefore, the 4 consecutive even integers is represented as follows;

p, p + 2, p + 4, p + 6

So the sum is equal to:

sum = p + p + 2 + p + 4 + p + 6

sum = 4p + 12

sum = 4(p + 3)

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Answer:

Plan A is $3 cheaper can Plan B.

Step-by-step explanation:

first equation: 1.5t+9

second equation: .50t+38

Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.

The amount of fat in Cherry ice-cream is 24 grams.

The amount of fat in the Mint Chocolate Chunk ice-cream is 12 grams.

Writing data into equations using Algebra,3C + M = 84...(1)C + 3M = 60...(2)

Multiplying equation (2) by 3 and then subtracting equation (1) from

the result gives, 3 * (C +3M) = 3 × 603C + 9M = 180...(3)(3C + 9M = 180) - (3C + M = 84) = 8M =96M= 12

The amount of fat in the Mint Chocolate Chunk ice-cream, M = 12  

grams C + 12*3 = 60C = 60-36 = 24

The amount of fat in Cherry ice-cream C = 24 grams As a result, Cherry ice cream contains 24 grams of fat and Mint Chocolate Chunk ice cream contains 12 grams of fat.

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The simplified expression (√32) / (√2) after rationalizing the denominator is 4√2.

To simplify the expression (√32) / (√2) and rationalize the denominator, we can use the properties of square roots.

First, let's simplify the numerator:

√32 = √(16 * 2) = √16 * √2 = 4√2

Now, let's simplify the denominator:

√2

To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator. In this case, the conjugate of √2 is (-√2):

√2 * (-√2) = -2

Multiplying the numerator and denominator by (-√2), we get:

(4√2 * (-√2)) / (-2)

Simplifying further:

= (-8√2) / (-2)

The negatives in the numerator and denominator cancel out:

= 8√2 / 2

Dividing both the numerator and denominator by 2, we have:

= (8/2) * (√2/1)

= 4√2

Therefore, the simplified expression (√32) / (√2) after rationalizing the denominator is 4√2.

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The mean of this probability distribution is 1.55.

To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:

mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
    = 0 + 0.37 + 0.32 + 0.78 + 0.08
    = 1.55

Therefore, the mean of this probability distribution is 1.55.

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Answer: (9x + 11i) (9x - 11i)

Step-by-step explanation:

When i is squared, you are given a negative value, but by multiplying a positive by a negative, we reverse that and are left with positive 121. The 9x will be cancelled out by the 11's and squaring the 9x will give 81x^2.

It's hard to fully explain this, but if I do find something, I will update this or comment more explanation. You could try to solve using the quadratic formula.

Hope this helps.

Since Mary worked 16 1/2 hours in 5 days

Then to find her average in a day, we will divide the total hours by the number of days.

We will change the mixed number 6 1/2 to an improper fraction

Then her average is 33/10 hour per day

We can change it to a mixed number

Her average is 3 3/10 hours per day

Since 1 hour = 60 min, then change the fraction 3/10 to minutes

Then her average is 3 hours 18 min per day

A) Answer:

\( - 44\)

B) Answer:

\(39\)

C) Answer:

\( - 69\)

D) Answer:

\( - 27\)

Sorry, I don't think the last one is an equation.

I think you didn't wrote the number that comes after that.

Answer:

210 degrees

Explanation:

In symmetrical rotation i.e for the polygon to appear to be in the same place

The angle of rotation = 360/number of sides of the polygon

Number of sides=12

Therefore, Angle of rotation = 360/12=30 degrees

For AB to map onto FG, the polygon will have been rotated symmetrically seven times.

Therefore, the angle of rotation such that AB maps onto FG

= 30 x 7

= 210 degrees.

Step-by-step explanation:

where is the line? pls share it

Answer:

hello, your name similarty to my name

Step-by-step explanation:

put 6 from x and to find function

f(6)= 72-42-6=24

We can make 3 loaves of bread with 1 2/3 pounds of dough.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many loaves of bread can be made, we need to divide the total amount of dough by the amount of dough needed for each loaf.

The bucket contains 1 2/3 pounds of dough, which we can rewrite as an improper fraction:

1 2/3 = (3 x 1 + 2)/3 = 5/3

So, the bucket contains 5/3 pounds of dough.

Each loaf requires 4/5 of a pound of dough.

To find the number of loaves that can be made, we need to divide the total amount of dough by the amount of dough per loaf:

Number of loaves = Total amount of dough / Amount of dough per loaf

Number of loaves = (5/3) / (4/5)

To divide by a fraction, we can multiply by its reciprocal:

Number of loaves = (5/3) x (5/4)

Number of loaves = 25/12

Since we cannot make a fraction of a loaf, we need to round the result up to the nearest whole number.

Therefore,

We can make 3 loaves of bread with 1 2/3 pounds of dough.

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Answer: 36

Step-by-step explanation: If you're asking what the expression equals after plugging X's value in, this should leave you with an expression of -3^2 - 5(-3) + 12. By following the order of operations, you should receive an answer of 36.