Your problem Title: Commission SHOW YOUR WORK
Vincent earns $20.00 plus $0.50 for every person he gets to register to vote. How many people must be register to earn at least $100.00 for the day? write your answer as a statement

Given:

The expression is

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\)

To find:

The expressions which are equivalent to the given expression.

Solution:

We have,

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}=\dfrac{1}{5^4}\)

\(\dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}=5^{-4}\)

In option A,

\((5^{-2})^2=5^{-2\times 2}\)

\((5^{-2})^2=5^{-4}\)

This expression is equivalent to the given expression.

In option B,

\((5^{-4})^0=5^{-4\times 0}\)

\((5^{-4})^0=5^{0}\neq 5^{-4}\)

This expression is not equivalent to the given expression.

Option C,

\(\dfrac{5^1}{5^4}=5^{1-4}\)

\(\dfrac{5^1}{5^4}=5^{-3}\neq 5^{-4}\)

This expression is not equivalent to the given expression.

Option D,

\(5^2\cdot 5^{-6}=5^{2-6}\)

\(5^2\cdot 5^{-6}=5^{-4}\)

This expression is equivalent to the given expression.

Therefore, the correct options are A and D.

Answer: Khan

Step-by-step explanation:

Kahn

a) The chance of drawing no court cards (J, Q, K, A) in a hand of 13 cards randomly drawn from a pack of 52 is approximately 0.294. b) The chance of drawing at least one ace but no other court cards in a hand of 13 cards is approximately 0.089. c) The chance of drawing at most one kind of court card (J, Q, K, A) in a hand of 13 cards is approximately 0.633.

a) To find the chance of drawing no court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are 36 non-court cards (52 cards - 16 court cards), and we want to draw 13 cards without any court cards. The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the number of ways to choose 13 cards from the 36 non-court cards, which can be calculated using combinations. Thus, the probability is:

Probability = C(36, 13) / C(52, 13) ≈ 0.2936

b) To find the chance of drawing at least one ace but no other court cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 aces in the deck, and we want to draw at least one of them along with 12 non-court cards (36 non-court cards - 4 aces).

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

For drawing two aces, there are C(4, 2) ways to choose two aces and C(36, 11) ways to choose the remaining non-court cards.

Thus, the probability is:

Probability = [C(4, 1) * C(36, 12) + C(4, 2) * C(36, 11)] / C(52, 13) ≈ 0.0892

c) To find the chance of drawing at most one kind of court card, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. There are 4 court cards of each kind (J, Q, K, A), and we want to draw at most one kind of court card.

The probability can be calculated using the formula:

Probability = (number of favorable outcomes) / (total number of possible outcomes)

The number of favorable outcomes is the sum of three cases: drawing no court cards, drawing only one kind of court card, and drawing one court card of each kind. We have already calculated the probability of drawing no court cards in part (a).

Thus, the probability is:

Probability = [C(36, 13) + 4 * C(36, 13) + 4 * C(36, 12)] / C

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To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability. The chance of no court cards can be calculated using combinations. The probability of at least one ace but no other court cards can be found by subtracting the probability of no aces from the probability of no court cards. The probability of at most one kind of court card can be calculated by finding the probability of having zero court cards and one court card.

To find the chances in a hand of 13 cards drawn randomly from a pack of 52, we can use probability.

There are 12 court cards (J, Q, K, A) in a deck of 52 cards. So, to have no court cards in a hand, we need to select all 13 cards from the remaining 40 non-court cards. The probability can be calculated as 40C13/52C13.

To find this probability, we need to subtract the probability of having no aces from the probability of having no court cards. The probability of having no aces is 48C13/52C13, and the probability of having no court cards is 40C13/52C13. The result is the difference between these two probabilities.

To find the probability of having at most one kind of court card, we can calculate the probability of having zero court cards or one court card. The probability of having zero court cards can be calculated as 40C13/52C13, and the probability of having one court card can be calculated as 12C1 * 40C12/52C13. The sum of these two probabilities gives the probability of having at most one kind of court card.

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the child's percentile rank is 93 th percentile. It means he performed better than \($93 \%$\)of the total number of students.

Need to find the percentile rank for child's score.

Let\($\mathrm{X}$\)denote marks obtained by the child in the achievement test.

The \($\mathrm{Z}$\)value is given as,

\($$Z=\frac{X-\mu}{\sigma}$$\)

Using equation (1), the required percentile rank for child's score is expressed as,

\(& Z=\frac{148-125}{15} \\\)

\(& Z=1.533\)

The probability value corresponding to the Z=1.533, obtained from the Z table is 0.93736.

Thus, the percentile is 0.93736.

Therefore, the child's percentile rank is 93 th percentile. It means he performed better than \($93 \%$\)of the total number of students.

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Answer:

A

Step-by-step explanation:

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

A

Answer:

9:00

Step-by-step explanation:

hope this helps

Answer:

answer is id.k

Step-by-step explanation:

The correct equation to represent the condition is,

⇒ 2 + 3 1/4x = 1/2 + 5 1/2x

And, The volume of the paint is, 2/3 quartz.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Liam and Evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint.

And, Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint. They end up with the same volume of paint.

Let the volume of the paint is, x

Hence, We can formulate;

The correct equation to represent the condition is,

⇒ 2 + 3 1/4x = 1/2 + 5 1/2x

And, Solve for x as;

⇒ 2 + 13/4x = 1/2 + 11/2x

⇒ 2 - 1/2 = 11/2x - 13/4x

⇒ 3/2 = (44 - 26)x / 8

⇒ 12 = 18x

⇒ x = 12/18

⇒ x = 2/3

Hence, The volume of the paint is, 2/3 quartz.

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The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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Answer:

????sorry pps say clearly

Answer:

answer is 16.5

Step-by-step explanation:

answer is 16.5

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

a) The mode of the list is 7

b) The median of the list is 7.

c) The mean is 5.4

d) The range is 7

What is the Mean, Mode and Median?

Mean: The mean is the average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of numbers in the set.

Mode: The mode is the most frequently occurring number in a set of numbers.

Median: The median is the middle value in a set of numbers when the set is sorted in ascending or descending order.

a) Mode: The mode of the list is 7, as it is the number that occurs most frequently (3 times).

b) Median: To find the median, the list must first be sorted in ascending order:

1, 2, 3, 4, 5, 7, 7, 7, 8, 8

The median of the list is 7.

c) Mean: The mean is found by adding up all the numbers in the list and dividing by the total number of items:

(3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8)/10 = 54/10 = 5.4

d) Range: The range is the difference between the largest and smallest numbers in the list:

8 - 1 = 7

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The coordinates of the points dividing the line in 5:3 is (3/2, 3)

The section formula gives the coordinates of a point which divides the line joining two points in a ratio, internally or externally.

Given a line LM, passing through points  (-1,-2) and (3,6) a point is dividing it in a ratio of 5:3

According to section formula,

(x, y) = (5*3 - 3*1)/8, (5*6 - 3*2)/8

(x, y) = (3/2, 3)

Hence, The coordinates of the points dividing the line in 5:3 is (3/2, 3)

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Answer:

We can call the supplementary angle of x as (180 - x)°. Since the lines are parallel, 61° and (180 - x)° are congruent because they are alternate interior angles. We can write:

61 = 180 - x

-119 = -x

x = 119°

Answer:

maybe 23

Step-by-step explanation:

The quantity of items you must sell to break even are = 17 items.

To rent a table = $100

The cost of each item = $4

You sold each item at prize = $10

Therefore the gain for each item = 10 - 4

= $6

Therefore, the quantity of items to sell to recover the cost from renting of the table is =

\( \frac{100}{6} \)

= 16.6 items

which is approximately = 17 items.

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The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

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The statement that the National Vulnerability Database (NVD) is responsible for actively performing vulnerability testing for every company software and hardware infrastructure is false.

The National Vulnerability Database (NVD) is a repository of security vulnerabilities and related information. It serves as a comprehensive database that provides information on known vulnerabilities in various software and hardware products. However, the NVD itself is not responsible for actively performing vulnerability testing for every company's software and hardware infrastructure.

Vulnerability testing is typically conducted by individual companies, organizations, or specialized security firms. Companies and organizations perform their own vulnerability testing or hire external professionals to assess and identify vulnerabilities in their software and hardware systems. They may use a variety of methods, such as penetration testing, code reviews, and vulnerability tools, to uncover potential security weaknesses.

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Answer:

7

Step-by-step explanation:

Answer:

7-8

Step-by-step explanation:

with this is basd

Answer:

c = 14 * t

Step-by-step explanation:

we have to calculate the average to make the equation, the first thing is to calculate the calories burned per minute in the two days:

the first day:

280/20 = 14

second day:

490/35 = 14

that is, how it does not change from day to day, the average is 14 calories per minute, therefore, the equation would be:

c = 14 * t

The equation represents this relationship is \(c = 14 \times t\)

Since Sarah burned 280 calories running 20 minutes. The next day, Sarah burned 490 calories running for 35 minutes. Let c represent the number of calories. Let t represent time, in minutes, spent running.

So, here we need to determine the burned per minute for 2 days

So,

the first day

\(= 280\div 20\)

= 14

And, the second day:

\(= 490\div 35\)

= 14

Therefore, The equation represents this relationship is \(c = 14 \times t\)

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Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

Given:

AB ≅ CD

To prove :

ΔABC ≅ ΔCDA

              Statements                       Reasons

1). AB ≅ CD                             1). Given

2). AC ≅ AC                           2). Given

3). ΔABC ≅ΔCDA                  3). HL property of congruence

Therefore, Option (B) is the correct option.

Answer:

the answer is aas

Step-by-step explanation:

im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle

Presently: 2020

Let Kevin’s age be kevinPresentAge and Timothy’s age be timothyPresentAge for the present year 2020. The statement states that “Kevin is 6 years older than Timothy”

kevinPresentAge=timothyPresentAge+6

4 years ago: 2016

Let Kevin’s age be kevinOldAge and Timothy’s age be timothyOldAge for the old year of 2016. The statement states that “Kevin was twice as old as Timothy”

2. kevinOldAge=2∗timothyOldAge

Now we have two equations and we have to solve it simultaneously. But unfortunately, the variable names are not the same. kevinPresentAge is not the same as kevinOldAge . So what can be done?

The relationship between kevinOldAge and kevinPresentAge is the difference between the years. In the statement, it is given as 4 years ago, which is why I choose the year 2020 and 2016 for the explanation. Therefore:

3. kevinOldAge=kevinPresentAge−4

4. timothyOldAge=timothyPresentAge−4

So now, we substitute equation 3 and 4 into equation 2 and it would become:

2. kevinPresentAge−4=2∗(timothyPresentAge−4)

So now, we will solve equation 1 and 2 since they have the same variables. But before that, I’ll like to change the variable names to something more simple and mathematical. Let kevinPresentAge=x while timothyPresentAge=y . Please don’t ask me y I did that (just kidding). So the equation would now look like:

1. x=y+6

2. x−4=2∗(y−4)

There are a number of ways to solve simultaneous equation but let’s use substitution method. Substitute equation x in equation 1 into equation 2 and it would become:

y+6−4=2∗(y−4)

y+2=2y−8

2y−y=2+8

y=10

Now let’s go back to equation 1 with the solved y.

x=10+6

x=16

So there you have it.

x=kevinPresentAge=16

y=timothyPresentAge=10

Answer:

Step-by-step explanation:

2/7 is the answer

Step-by-step explanation:

We are given 4x+y=6x-1 to graph. The easiest way to graph is to turn this equation into slope-intercept form, which is y=mx+b.

First, we are going to subtract 4x from both sides to isolate the y variable which gets us y=2x-1, and now we have slope-intercept form. Now we're going to use what we know about the form to graph.

In such form, m is the slope and b is the y-intercept. Our b in our equation is -1, so you're going to put a dot at (0,-1) on the y-axis. Then for our slope, it is 2, but it's easier to envision as rise over run where 2 is how much we rise and 1 is how much we run (or move to the right). So from our starting point from the y-axis, we're going to move up 2 units and then to the right one unit. And with two dots on the graph, we can run a line through it which will give us our graphed line.

For safe measures, you can continue the pattern of rising 2 and running 1, or you can go down 2 and left 1, which is the opposite and yet still confines to the line.

If you don't understand this explanation, I also recommend checking out desmos! It's a graphing calculator online in which you can plug this equation in and it graphs it for you! The file I have attached to this is from desmos to help you see the graph, I hope you do well!

To solve this problem we will have to convert 4x + y = 6x - 1 to point - slope form, for simplicity --- ( 1 )

4x + y = 6x - 1,

- 2x + y = - 1,

Point - Slope Form : y = 2x - 1

Now let's graph this equation. Consider the x - intercept and y - intercept of this graph --- ( 2 )

0 = 2x - 1

2x = 1

x = 1 / 2 = 0.5 ( x - intercept ),

y = 2(0) - 1 = 0 - 1 = - 1 ( y - intercept )

We know that the x - intercept is 0.5, so we can plot the point (0, 0.5). Similarly we can plot the point ( - 1,0 ) given the y - intercept is - 1. After plotting these points we can run a line through them, creating our graph.

Answer:

the square means those to lines make a 90 degree angle aka. right angle

Step-by-step explanation:

Answer:

Sine of x = \(\frac{\sqrt{288} }{18}\)

Cos of x = 6 / 18

Step-by-step explanation:

To solve this:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle:

\(a^{2} + b^{2} = c^{2}\)

In any right angled triangle, for any angle:

The sine of the angle = the length of the opposite side / the length of the hypotenuse

The cosine of the angle = the length of the adjacent side / the length of the hypotenuse

In this right triangle, we know the opposite side is \(\sqrt{288}\), the adjacent side is 6, and the hypotenuse is 18

So to find the sine of x, we would do \(\frac{\sqrt{288} }{18}\)

And to find the cos of x, we would do 6 / 18

Hope this helps!! Pls mark as brainliest, ty.

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

Answer:

y = 7

Step-by-step explanation:

Given:

x1 = -2

y1 = 7

slope (m) = 0

y - y1 = m ( x - x1 )

y - 7 = 0 ( x - (-2) )

y - 7 = 0 ( x + 2 )

y - 7 = 0

y = 7

The answer to this question is:

A certain type of sailboat travels at 7 nautical miles per hour.

A summer camp provides 3 meals for each camper.

The amount of units of the first quantity that correspond to one unit of the second quantity is shown as the unit rate.

Nadia pays $30 for 2 baseball tickets.

i.e. the price for two baseball tickets is $30,

By the above definition,

It is not a unit rate,

A certain type of sailboat travels at 7 nautical miles per hour.

i.e., 7 nautical miles are covered in 1 hour,

By the above definition,

It is a unit rate,

The cost of 3 hot chocolates is $2.

i.e., there are 3 chocolates for every 2 dollars.

By the above definition,

It is not a unit rate,

A summer camp provides 3 meals for each camper.

i.e., 3 meals are provided for every camper,

By the above definition,

It is a unit rate.

Therefore,

are the options that describe unit rates.

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