If a road map has a scale of 3 in: 100 mi, find the following distances
How far is it between Cardwell and Claremont if they are 4.5 inches apart on the map?

If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.

In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).

For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.

General Properties of Probability Distributions

Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is

X usually represents a random variable.

Tilde (~) indicates follow distribution.

Upper case indicates distribution. B. N for normal distribution.

Bracket contains the parameters of the distribution.

For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).

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The absolute value of a number can never be less than zero, because the graph has a minimum value of 0 and is never negative, never below the x-axis.

If the absolute value is less than zero, there is no solution.

If the absolute value is less than or equal to zero, there is one solution.

If the absolute value is greater than zero, the solution is all real numbers

except for the value which makes it equal to zero, this will be written as a union.

The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.

It is represented as |a|, which defines the magnitude of any integer ‘a’.

Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin of a number line or coordinate system.

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The measure of angle ∠WDY is 89° in problem 20.

Two rays (half-lines) that share an endpoint make up an angle. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.

Two angles are said to be congruent by this definition if either of their vertex and side coordinates can be rigidly moved to coincide with the other. The angle may be written as AOB or BOA if O is the vertex and A and B are the points on the two sides (and this for any selection of the two points A and B.)

Given that D is the common point of line segments DW, DX and DY

m∠WDX = 2x - 5

m∠XDY = 52

m∠WDY = 5x - 16

to find m∠WDY

m∠WDY = m∠XDY + m∠WDX

5x - 16 = 52 + 2x - 5

5x - 2x = 52 - 5  + 16

3x = 63

x = 63/3

x = 21

m∠WDY = 5(21) - 16

m∠WDY = 89

Thus, the measure of angle ∠WDY is 89° in problem 20.

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The powers that correspond to each letter are given as follows:

The number for this problem is defined as follows:

61.32.

Before obtaining the powers that correspond to each letter, we need to obtain the integer and decimal parts, as follows:

Then the digits are classified as follows:

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i did 21                

for thre firdse then ib did 9

Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.

A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.

We are unable to comment on an.

This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.

What can you say about an if a bn for all n? a passes the Comparison Test and converges.

This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.

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Answer:

A = 9 units²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = AB = 3 and h = BF = 3 , then

A = 3 × 3 = 9 units²

The probability of a randomly chosen divisor of [tex]$11!$[/tex] being prime is [tex]$\frac{32}{3^{2}\cdot2^{10}} = \frac{1}{243}$[/tex].

The prime factorization of [tex]$11!$[/tex] is 11!=[tex]11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1$[/tex], so there are [tex]$(2+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1)(1+1) = (3^{2})(2^{10})$[/tex] divisors of  [tex]$11!$[/tex]

The prime divisors of  [tex]$11!$[/tex] are [tex]$2,3,5,7,11$[/tex], and there are [tex]$(1+1)(1+1)(1+1)(1+1)(1+1) = 2^{5} = 32$[/tex] divisors that are prime.

So the probability of a randomly chosen divisor of  [tex]$11!$[/tex] being prime is [tex]$\frac{32}{3^{2}\cdot2^{10}} = \frac{1}{243}$$[/tex]

A common fraction is a way of representing a ratio of two integers, where the numerator (the top part) represents the number of "favorable outcomes" and the denominator (the bottom part) represents the total number of possible outcomes.

In this case, the favorable outcome is a randomly chosen divisor of 11! being prime, and the total number of possible outcomes is the total number of divisors of 11! which is[tex]$(3^{2} )(2^{10})$[/tex]. So the probability of a randomly chosen divisor of 11! being prime can be represented as a common fraction by writing [tex]$\frac{32}{3^{2} \cdot2^{10}}$[/tex], with 32 as the numerator and [tex]$(3^{2})(2^{10})$[/tex] as the denominator.

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Answer: 36.5 miles

Step-by-step explanation:

It looks like you have the right idea! You simply need to divide the 438 miles by the 12 days to find the miles traveled per day. This results in 438 / 12 = 36.5

Step-by-step explanation:

∠4=55

or, ∠=55/4 or,∠=13.75

∠2=?

or, ∠2=13.75*2

or,∠2=27.5

The probability that their total completion time in the maze for all rats is between 6 and 8 minutes is 0.375, or 37.5%.

The probability that their total completion time in the maze for all rats is between 6 and 8 minutes can be calculated using the Binomial Distribution formula. The formula is P = (nCr) * (p^r) * (1-p)^(n-r), where n is the number of trials, r is the number of successes, and p is the probability of success.

In this case, n = 4 (4 rats), r = 2 (completion time between 6 and 8 minutes), and p = 0.5 (50% chance of success). Therefore, P = (4C2) * (0.5^2) * (1-0.5)^(4-2) = 0.375.

This means that the probability that their total completion time in the maze for all rats is between 6 and 8 minutes is 0.375, or 37.5%.

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Answer:

The National American Woman Suffrage Association (NAWSA) was an organization formed on February 18, 1890, to advocate in favor of women's suffrage in the United States.

(Have a nice day)

t = 4.9029 for Given the equation t = -0.0069d + 7.35, where t is the time of sunrise in hours after midnight and d is the number of the day in the year,

To find the time of sunrise on December 25th, the 359th day of the year, we need to substitute 359 for d in the equation.

t = -0.0069(359) + 7.35

t = -2.4471 + 7.35

t = 4.9029

This means that the time of sunrise on December 25th is 4.9029 hours after midnight. To convert this to minutes, we can multiply 4.9029 by 60 (since there are 60 minutes in an hour).

4.9029 x 60 = 294.174

So the sun rose on December 25th at 294.174 minutes after midnight, which is equivalent to 4 hours and 54 minutes (294 minutes) after midnight. To the nearest minute, the sun rose on December 25th at 4:54 AM.

As the moon moves in its orbit, its side where it gets illuminated by the Sun also changes.

On a full moon day, the moon rises at the time of sunset and sets at the time of sunrise the next day.

On the night of a third quarter, the moon rises at midnight and sets during the noon period of the other day.

At first quarter, the moon rises at noon and gets set by the time of mid- night.

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Answer:

920km/hr

Step-by-step explanation:

speed=distance/time

distance= 2300km

time=2 1/2 hours

2300÷5/

2300× 2/5=

920km/

The average speed of an airplane is 920 Km/hr.

We know that,

The average speed of a plane is the distance covered by it in an hour.

                   average speed = total Distance covered/ total time taken

                                          s = d/t

According to the question,      

                                    d = 2300 km.

                                    t = 2.5 hrs.

                          speed (s) = d/t

                                       = 2300 km/ 2.5 hrs.

                                       = 920 km./hr.

Hence, the speed of the Airplane is 920 km/hr.

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Given the

Diagonal length 1 (d1) =40cm

diagonal length 2 (d2) =26cm

area of ​​rhombus,

= 1/2 (d1 × d2)

=1/2 (40×26)

=520[tex]cm^2[/tex]

Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520[tex]cm^{2}[/tex].

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Answer:

x = 1

y = -3

(1,-3)

Step-by-step explanation:

Set the 2 equations equal to each other and solve for x

-4x + 1 = 6x - 9   Add 4x from both sides

-4x  + 4x + 1 = 6x + 4x -9

1 = 10x - 9  Add 9 to both sides

1 + 9 = 10x - 9 + 9

10 = 10x  Divide both sides by 10

[tex]\frac{10}{10}[/tex] = [tex]\frac{10x}{10}[/tex]

1 = x

substitute 1 for x in either of the two original equations to solve for y

y = -4x + 1

y = -4(1) + 1

y = -4 + 1

y = -3

Check

y = -4x + 1

-3 = -4(1) + 1

-3 = -4 + 1

-3 = -3  Checks

y = 6x - 9

-3 = 6(1) - 9

-3 = 6 - 9

-3 = -3  Checks

The value of h(5,4) is 86 in the given function h(x, y) = x² + 3xy-(y-x)

What is a function ?

function can be defined as the relation in which it relates an input to the output.

Given ,

Let a function of 2 variables be defined by

h(x, y) = x² + 3xy-(y-x),

So, the value of h(5,4)

put x = 5 and y = 4 in the function h(x, y) = x² + 3xy-(y-x)

h (5,4) = 5*5 + 3*5*4 - (4-5)

h(5,4) = 25 + 60 - (-1)

h(5,4) = 25+60+1

h(5,4) = 86

Hence, The value of h(5,4) is 86

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Answer:

It can't be (-2,8)  as u can't join (2,1) and (8,1) with (-2,8) without it ruining the rectangle.

Answer:

Edgar

Step-by-step explanation:

The domain of people would be the natural numbers 20 -25.

Ernesto domain would allow for 1/2 people and .75 if people.  Willa only wants to invite whole people.

Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample  selected group of individuals from the neighborhood at random times throughout the day.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

Both the wristband and a conventional blood test were used to measure the blood sugar of a random sample  selected group of individuals from the neighborhood at random times throughout the day.

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The system of equations can have an infinite number of solutions when the equations are equivalent.

A system of equations can have infinitely many solutions when the equations are equivalent, meaning that the equations are identical when one is subtracted from the other. When this happens, the system of equations is said to have an infinite number of solutions. To solve a system of equations by elimination with infinitely many solutions, the equations must first be rearranged so that the same variable terms are on one side and the constant terms are on the other. Then, the coefficients of one variable must be made equal by multiplying one or both equations by a constant. After this, the equations can be added together or subtracted from one another and the variable terms will cancel out. This will result in an equation with only the constant terms, which is equivalent to 0=0. This equation is true for all values of the variables, so the system of equations has an infinite number of solutions.

The system of equations can have an infinite number of solutions when the equations are equivalent. To solve the system of equations by elimination with infinitely many solutions, the equations must first be rearranged, the coefficients of one variable must be made equal, and the equations can be added or subtracted so that the variable terms cancel out. This will result in an equation equivalent to 0=0, meaning that the system of equations has an infinite number of solutions.

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ANSWER:

x = 4

STEP BY STEP EXPLANATION:

See attachment for complete question

From the attachment, the parallelogram has two diagonals. And the diagonals of a parallelogram bisect one another.

Because 2x - 1 and 7 are opposite sides of a diagonal; We can say that:

2x - 1= 72x−1=7

Add 1 to both sides

2x - 1 + 1 = 7 + 12x−1+1=7+1

2x = 82x=8

Divide through by 2

x =4

To steps to construct a line segment that is 1/3 the length of the given segment is:

Draw a line segment CD of any length.

Fix the compass's end on C and pencil on D. This gives the length of CD.

Now divide the length of CD by 3. That is the 1/3 the length of CD.

Draw a line 1. Mark a point A on line 1. Change compass's setting into 1/3 the length of CD, place the compass at A.

Make an arc on the line l which cuts l at B. Now, AB is a copy of CD which is 1/3 the length of CD.

What is line segment?

A line segment is bounded by two definite points on a line. We also can say a line segment is part of the line which connects two points. A line has no endpoints and extends immensely in both the direction but a line segment has two fixed or distinct endpoints.

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The previous balance in the account is equivalent to $68.303.

Given is that in August, Billy Quinlin deposited a total of $724 into his checking account. He wrote $585.27 in checks, had a service charge of $29.00 and earned $10.00 in interest. If his current balance is 239.46.

Assume that the initial cost was ${x}. So the total cost after depositing $724, the total amount will be ${x + 724}.

Total amount withdrawn = $585.27 + $29 = $614.27

Amount earned after interest -

10% of 614.27

(10/100) x 614.27

$61.427

Now, we can write -

{x + 724} - {614.27} + {61.427} = {239.46}

{x + 724} + {61.427} = {239.46 + 614.27}

x + 785.427 = 853.73

x = 853.73 - 785.427

x = 68.303

Therefore, the previous balance in the account is equivalent to $68.303.

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Answer:

Each coin has 2 outcomes when flipping (it may be head or tail), so the possibility to flip head is equal to possibility to flip tail and is .

If you are flipping three times, then using the product rule you can conclude that the possibility to get three heads is equal to possibility to get three tails and is:

Step-by-step explanation:

Step-by-step explanation:

1.

central (arc) angle is twice the inscribed angle (at the arc).

127° = 2A

angle A = 127/2 = 63.5°

2.

the full circle are 360°.

127° are arc angle CT, that leaves

360 - 127 = 233° for the arc angle C A T.

3.

the central angle at O opposite of the indicated 96° angle is (due to the rules of intersecting lines) also 96°.

the triangle M-O-A is an isoceles triangle (because both legs are a radius of the circle).

that makes angles A and M equally sized.

as the sum of all angles in a triangle is always 180°,

angle A = angle M = (180 - 96)/2 = 84/2 = 42°

4. see 3.

5.

the sum of all angles around one point on one side of a line is also always 180° (they represent a half-circle).

so, the top and the bottom angle at O are supplementary to the 96° angle (together they have 180°).

so, each is 180 - 96 = 84°

that means

arc angle M N A = 84 + 96 + 84 = 264°

6.

arc angle A F = 95°

arc angle A N = 103°

therefore, arc angle F N = 360 - 103 - 95 = 162°

as explained in 1.

angle A = arc angle F N/2 = 162/2 = 81°

7.

the triangles J-E-N and J-A-N have the same inscribed angle at the arc.

angle A = angle E (I cannot read the number at E).

8.

arc angle J A N + arc angle JN = 360

arc angle J N = 2× angle E

arc angle J A N = 360 - 2× angle E (again the number there is unreadable to me).

9.

again the inscribed angle at the arc is half of the opposite arc angle.

angle Y = arc angle T A / 2 = 70/2 = 35°.

10.

we have the arc angles S Y (134°) and T A (70°).

the 2 missing arc angles to make the whole circle are equally large due to T S and A T being equally long.

so,

arc angle S T = (360 - 134 - 70)/2 = 156/2 = 78°

Answer: 5865.15

Step-by-step explanation:

1. The group of players in the game of economics both produces and uses goods and services are producers and consumers

2. The purpose of a budget is keeping their expenses below their income

3. Some people are more committed to saving for retirement than other people because different people look at future risks differently.

4. The sentence that best describes the purpose of advertising is transmit product messages to an audience

5. The type of business that is most likely to use the bricks-and-clicks business model are: newspapers, grocery stores, and clothing sellers

6. The business model that a company follows is a business plan

A business model is a plan that outlines how a company intends to generate revenue and make a profit. It lays out the company's value proposition, target market, marketing and sales strategies, and the structure of the company's operations and finances. Examples of business models include subscription-based models, advertising-based models, and product-based models.

Therefore, the correct answers are as given above

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Roxy can make her goal SMART by deciding an attainable amount of money, diving the total of money in paymets and using the money for emergencies only.

This is a technique to plan and achieve goals based on 5 characteristics:

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They describe a model of an atom with two protons, two neutrons, electron density (orbitals), and two electrons. Now suppose we want to know what the labels A and B stand for.

The nucleus is at the center where the protons and neutrons are arranged. This is supported by his three models: the Rutherford model, the Bohr model and the (now accepted) quantum model.

So the red sphere and the two overlapping spheres in the middle represent protons and neutrons.

The line labeled A with the sphere in brackets represents the nucleus, as it signals both protons and neutrons within the nucleus.

The green blurry circular clouds represent the regions where electrons reside. This is blurry according to the quantum model, which states that the electrons are not in a fixed position, but in the region around the atom. This area is called the trajectory. According to the model, the electron's exact position cannot be determined, which means a blurry cloud.

This white line, which in Bohr's model should be circular where the electrons are, represents the electron orbits and shells identified by the letters L, M, N, and K. The first shell was the L shell.

In the quantum model, this line corresponds to the principal quantum number n (principal energy level). Therefore, the lines leading to brackets overlapping the white lines indicate the main energy levels.

Atoms are neutral because they contain as many electrons as protons around the nucleus.

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Answer:

A: nucleus

B:  electron cloud

Step-by-step explanation: