If 50% of the registered voters cast 182,500 votes in an election, how many registered voters are there? In another election 60% of the registered voters cast 219,000 votes. How do the number of registered voters compare in the two elections?

Answer:

Yes she did!

Step-by-step explanation:

1000g = 1kg
meaning
1100 / 1000 = 1.1kg

Answer:

-14

Step-by-step explanation:

The absolute value of -14 is + 14.  If prefaced with a " - " sign, |-14| comes out as -14:

-|-14) = -14

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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Answer:

wow bkrioavpoimpmqe

Step-by-step explanation:

There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.

The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.

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Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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Answer:

90

Step-by-step explanation:

math my friend

Answer:

810 in³

Step-by-step explanation:

Took the quiz

Roger had a z-score of -0.82, while Terry had a z-score of 36.16. Therefore, Terry had a more convincing victory.

Z-scores are a measure of how many standard deviations a particular data point is away from the mean. By calculating the z-scores for Roger and Terry's finish times, we can determine which driver had a more impressive performance.

To calculate the z-score, we use the formula:

z = (x - μ) / σ

Where:

- x is the individual data point (finish time in this case)

- μ is the mean of the data set (mean finish time)

- σ is the standard deviation of the data set

For Roger:

z = (186.95 - 187.72) / 0.329

z = -0.77

For Terry:

z = (111.92 - 187.72) / 0.329

z = -231.02

Based on the calculated z-scores, Roger's finish time was 0.82 standard deviations below the mean, while Terry's finish time was a staggering 36.16 standard deviations below the mean. This indicates that Terry's performance was significantly better than Roger's.

Explanation Paragraph 1:

The z-score measures how far a data point deviates from the mean in terms of standard deviations. It helps us compare individual data points to the overall data distribution. In this case, we are using z-scores to evaluate the finish times of Roger and Terry in an amateur auto race.

Explanation Paragraph 2:

Roger had a z-score of -0.82, which means his finish time was 0.82 standard deviations below the mean finish time of the race. On the other hand, Terry had a z-score of 36.16, indicating that his finish time was 36.16 standard deviations below the mean. This stark contrast in z-scores clearly shows that Terry's performance was much more outstanding compared to Roger's.

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Answer:

B and D are correct

Step-by-step explanation:

Imagine if c, b, and k were equal to 5.  Then, multiply to figure out how much Mia earned.  Solve the rest of the equations while still using 5 in place of the variables.  If they are the same as your first answer, it is right

Answer:

9x3.14=28.26

Step-by-step explanation:

1 3

3.14

x  9

28.26

multiply 4x9 Cary the 3 put the 3 above the 1 then multiply 1x9 the add the three then carry the 1 put it above the 3 the multiply 3x9 the you add you final total and bring the decimal doe to we’re it becomes 28.26

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

Graph A

Step-by-step explanation:

\(-0.6x-3 < 1.8\\-0.6x -3+3 < 1.8+3\\-0.6x < 4.8\\-0.6x/-0.6 < 4.8/-0.6\\x > -8\)

Answer: x=3 y=-5

Step-by-step explanation:

Using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

Fractions can be referred to as a part of a whole number.

The following are the information given that was omitted:

1 grid having 10 equal columns. 5 are shaded.

This can be expressed as a fraction, as 5/10.

Another identical grid shows, 100 squares with 3 of them shaded, which can be represented in fraction, as 3/100.

The model for the addition problem would be solved as:

3/100 + 5/10 = 53/100

Therefore, using the fraction model, Emma made a mistake by adding 5 and 3 to get 8/100, instead of 3/100 + 5/10 = 53/100.

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Given:

The general equation of tangent line is:

Where,

Solpe of line is:

slope of tangent line is -6

then equation of tengent line is:

The time it take until 2000 people know about the rumor is 16 days.

The square root of a variety of is described because the value, which offers the variety while it's miles increased with the aid of using itself. The radical symbol √ is used to suggest the square root.  Radical is any other call given to the square root symbol. It is likewise called the surds. While Radicand is the variety gift beneath neath the square root symbol.

Find t, when N=200

N=5OO t^1/2

2000=500 t^1/2

t^1/2=4

t=16 days

Thus, the time it take until 2000 people know about the rumor is 16 days.

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Answer:

Yes it is a function.

Step-by-step explanation:

By the way, don't click on any links, there's a bunch of raiders going around sharing links that will give you a virus, if you still have the virus, you should probably factory-reset your device, it could be taking your information.

Answer:

D.46

Step-by-step explanation:

180-46-29= 105

angle V, 46 degree, and T= equal 180

105= V

t= 29

v+t+u= must equal 180 because all triangle equal 180 degrees

105+29+u=180

u=-105-29+180

u=46

We are given the following equation in vector form:

To solve the equation we need to remember that two vectors are equal of the corresponding elements are equal. Therefore, we set equal the first elements:

Now, we divide both sides by 5:

Now, we set equal the second elements:

Now, we divide both sides by 5:

Therefore, "x = 3/5" and "y = 4".

Hadley paddle 8/3 miles per hour or \(2\frac{2}{3}\) miles per hour.

What is unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given that Hadley paddled a canoe for 2/3 mile in 1/4 hour.

In other word,

After 1/4 hour, he can cover 2/3 mile.

Now applying unitary method,

After 1 hour, he can cover (2/3) ÷ (1/4) mile.

Now convert division sign to multiplication, by taking reciprocal of the second fraction:

= (2/3) × (4/1) mile

Now multiply the denominator with denominator and numerator with numerator:

= (2 × 4)/ (3 × 1) mile

= 8/3 mile

Rewrite the improper fraction into mixed fraction:

= (6/3) + (2/3) miles

= 2 + (2/3) miles

= \(2\frac{2}{3}\) miles

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Answer:

25

Step-by-step explanation:

\(5x^{2} - 2 ( y + 1)+9 = 5*2^{2} - 2(1 + 1) + 9 = 5 *4 - 4 +9 = 20 - 4 + 9 = 20 + 5 =25\)

The correct choice is (B) Events B and A are dependent if and only (P(B∩A)=P(B)⋅P(A)).

The value of P(B) is 0.20.

Since P(B∩A) ≠ P(B)×P(A), events B and A are not independent.

Given: 20% of the population are 63 of over, 25% of those 63 or over have loans, and 56% of those under 63 have loans

Find the probabilities that a person fits into the following categories:

The probability that a person is 63 of over and has a loan is 0.052. (Type an integer or decimal rounded to three decimal places as needed)

Given, 25% of those 63 or over have loans, and 56% of those under 63 have loans.

The probability that a person has a loan is P (A)=0.20 × 0.25 + 0.80 × 0.56

P (A)=0.14+0.448

P (A)=0.588

The probability that a person has a loan is 0.588. (Type an integer or decimal rounded to three decimal places as needed)

Let B be the event that a person is 63 or over.

Let A be the event that a person has a loan.

Then we need to find the probabilities of P (B∩A), P(B), P(A), and P(B) P(A)

Events B and A are independent if and only (P(B∪A)=P(B)+P(A)).

The value of P(B) is:

P (B) = 0.20

The probability that a person is 63 or over and has a loan is given by P (B∩A)=0.052

P(A)P(B∩A)=0.20×0.25

P(B∩A)=0.05

P(B∩A)=P(B)×P(A)P(B∩A)=0.20×0.588

P(B∩A)=0.1176

Events B and A are not independent.

The events B and A are dependent if and only (P(B∩A)=P(B)⋅P(A))

The value of P(B) is P(B)=0.20

The value of P(B∩A) is 0.052

The value of P(A) is 0.588P(B∩A) ≠ P(B)×P(A)P(B∩A) = 0.1176

The events B and A are dependent.

Therefore, the correct choice is (B) Events B and A are dependent if and only (P(B∩A)=P(B)⋅P(A)).

The value of P(B) is 0.20.

Since P(B∩A) ≠ P(B)×P(A), events B and A are not independent.

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Step-by-step explanation:

this is substitution method

Answer:

2x + y = 21

+

x - y = 6

_________

3x = 27

x = 27 ÷ 3

x= 9

x - y = 6

9 - y = 6

9 - 6 = y

3 = y

Therefore, x= 9 and y = 3

There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.

Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.

We are required to find the number of ways in which the volunteers can be assigned.

Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.

n\(C_{r}\)=n!/r!(n-r)!

Number of ways in which the volunteers can be assigned is equal to the following:

Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.

Number of ways =14\(C_{12}\)

=14!/12!(14-12)!

=14!/12!*2!

=14*13/2*1

=91 ways

Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.

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Answer:

Yes

Step-by-step explanation:

You have to add 4 on both sides to get X by itself. Then, you solve for X by multiplying the Denominator.

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer is below. Look at the steps to clearly understand my answer.

Now, the first time to simplifying this to add both sides by 1.

2x - 1 = 8 → 2x - 1 + 1 = 8  + 1

Since we added both sides, we'll now simplify the problem.

Add both numbers.

Lastly, we'll divide both sides of the equation by the same term.

Now, cancel both terms that are in both the numerator and denominator.

If you look back at the fraction, 2 is in  the numerator and denominator, so we'll cancel those terms.

When you cancelled the terms, you should get x = 9/2.

Any questions? Comment below.

Answer:

Hi, there the answer is \(x=\frac{9}{2}\)

Step-by-step explanation:

Step 1: Add 1 to both sides.

2x−1+1=8+1

2x=9

Step 2: Divide both sides by 2.

2x /2 = 9 /2

x= 9 /2

Hope This Helps :)

The area of the composite figure is 89.065 ft^2

We can divide the figure into 3 simpler ones, these are:

A rectangle of 5ft by 2 ft

A rectangle of 8ft by 9 ft

A fourth of a circle of radius R = 3ft

Remember that the area of a circle of radius R is:

A = 3.14*R^2

Then the area of the fourth a circle of radius R = 3ft is:

a = (1/4)*3.14*(3ft)^2 = 7.065 ft^2

And the areas of the rectangles are equal to the product between the dimensions, so the areas are:

a' = 5ft*2ft = 10ft^2

a'' = 8ft*9ft = 72 ft^2

The total area is the sum of these:

7.065 ft^2 + 10ft^2 +72ft^2 = 89.065 ft^2

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113 in .8 hours

113 / 4 in .2 hours

28.25 in .2 hours

28.25 * 5 in 1 hour

141.25 in 1 hour

141.3 mph