The 2400 tickets available for a movie were all either A or B tickets. One A ticket costs $27 and one B ticket costs $19. Altogether, the 2400 tickets raised $545600. How many of the 2400 tickets were A tickets? Show all steps in working out.

The probability that a presidential candidate selects a specific route of capitals is impossible to determine without knowing the specifics of the route.

The probability of a presidential candidate selecting a specific route of capitals depends on a variety of factors. For example, if the route includes a large number of states, then the probability of selecting that route decreases. If the route includes fewer states, then the probability of selecting that route increases. Additionally, the candidate's strategy and objectives in selecting the route also play a role in determining the probability. For example, if the candidate is trying to reach certain demographics or regions of the country, then the probability of selecting a certain route may be higher. Ultimately, the probability of a presidential candidate selecting a specific route of capitals is impossible to determine without knowing the specifics of the route.

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Therefore, the correct answer is option A) f(x) = 3x - 5

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

Given a function f(x) = 3x - 5

To find \(f^_-1(x)\), we need to follow the following steps:

Step 1: Write the given function in terms of x and y.

f(x) = 3x - 5 can be rewritten as y = 3x - 5

Step 2: Swap x and y in the above equation. Then, solve for y.

x = 3y - 5 x + 5

= 3y (x + 5)/3

= y

Step 3: Replace y with

\(f^_-1(x)\)\(f^_-1(x)\) = (x + 5)/3

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A

Step-by-step explanation:

(1.7×8.0)/3.4 ×10^23-14-23

=4×10^-14

Answer:

-8

Step-by-step explanation:

-4f = -4(2) = -8

Answer:

- 8

Step-by-step explanation:

-4f

f = 2

-4(2)

= -8

Answer:

9 * pi inches squared

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

Answer:

$1.47 per yard

Step-by-step explanation:

3 feet = 1 yard

9 feet = 3 yards

set up a proportion

\(\frac{3}{4.41} = \frac{1}{x}\)

cross multiply; 3x = 4.41 * 1

3x = 4.41

divide both sides by 3

x = 1.47

$1.47 per yard

Answer:

−48x+112

Step-by-step explanation:

evatulate: −16  (3−7)

                -48+112

Answer:

26ft

Step-by-step explanation:

40÷8=5

5+5+8+8=10+16=26

Answer:

26ft

Step-by-step explanation:

If area is 40ft, and the width is 8ft, then the length must be 5ft as 8 times 5 = 40

If the length is 5, then the perimeter is 8+8+5+5 = 26ft

Students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific Experiment.

The probability is a measure of the possibility of an event happening. It is expressed as a fraction or decimal between 0 and 1, or as a percentage between 0% and 100%. Probability can be used to determine the likelihood of an event happening or not happening.

Data analysis is the process of analyzing data to extract valuable insights from it. It involves examining data sets to uncover trends, patterns, and relationships that can be used to make informed decisions. Data analysis is an important tool in many fields, including business, finance, and science.

The data analysis and probability unit test assesses students' understanding of these concepts and their ability to apply them in real-world situations.

The test typically includes questions that require students to use probability to determine the likelihood of an event happening or not happening, as well as questions that ask students to analyze data sets to extract valuable insights.In order to prepare for the data analysis and probability unit test, students should review the key concepts and formulas related to probability, such as the addition rule, the multiplication rule, and the complementary rule.

They should also practice analyzing data sets using tools like histograms, scatter plots, and box plots, and should be familiar with key concepts like mean, median, and mode.

Finally, students should be able to apply these concepts and tools in real-world situations, such as calculating the probability of winning a game or analyzing data from a scientific experiment.

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Answer:

Otis can buy 6 pencils...

Answer:

Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?

4 pencils x

5 pencils x

6 pencils :D

7 pencils x

Step-by-step explanation:

6 pencils

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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For the expression to have a true value for x, the limit of k must lie within the range of 4 and 6, inclusive.

The value of x in the formula kx2-6x+4/4x2-6x+x must exist within the range of 4 and 6, inclusive, for k to have a genuine value. Thus, k must be more than or equal to 4 and less than or equal to 6, respectively. When x is real, the expression cannot take on a real value if k is outside of this range. This is because division by zero is illogical because the denominator will be equal to zero. Therefore, x is real for the expression to be capable of the value, k must be between 4 and 6.

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Answer:

x=6

Equation: y=2x

Step-by-step explanation:

we can use slope intercept form y=mx+b

M is slope and b is y intercept

We know slope is 2

y=2x+b

To find b we fill in the coordinates we know

8=2(4)+b

8=8+b

-8 -8

The y intercept is 0 now to find x we fill in what know with those coordinates

12=2x

/2. /2

6=x

Hopes this helps please mark brainliest

Answer:

1

Step-by-step explanation:

10-10

0x10

0+10

10/1

1

5 lots of 3:2 →5×(3:2)=(5×3):(5×2)=15:10

HOPE THIS HELPS

CAN U PLEASE GIVE ME BRAINLIEST

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Once I have the PMF for N, I can explain how to use these PMFs to calculate various probabilities or expected values related to the number of customers and items purchased at the neighborhood store.

Let's break down the problem step by step.

The problem states that the number of customers, K, that shop at the neighborhood store in a day follows a probability mass function (PMF) given by Pk(k) = ke^(-k!) for k = 0, 1, 2, ...

We are also given that the number of items, N, that each customer purchases has its own PMF, which is not specified in your question. To solve the problem completely, we need the PMF for N as well. Please provide the PMF for N so that I can proceed with the solution.

Once I have the PMF for N, I can explain how to use these PMFs to calculate various probabilities or expected values related to the number of customers and items purchased at the neighborhood store.

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Answer:

Given

distributive property

Subtraction property of equality

Addition property of equality

Division property of equality

Solution

Step-by-step explanation:

If Q and R have coordinates of (xQ, yQ) and (xR, yR), respectively, then Q' and R' have coordinates of : Q' = (xQ + a, yQ + b) and R' = (xR + a, yR + b)

Assuming that "triangle PQR is translated to trinagle PQR" is a typo, and the second triangle should be denoted as triangle P'Q'R', we can find the coordinates of Q' and R' after the translation.

Let's say that the translation vector is (a, b), where a and b are the horizontal and vertical shifts, respectively. Then, the coordinates of Q' and R' can be found by adding (a, b) to the coordinates of Q and R, respectively.

If we assume that the coordinates of Q and R are (xQ, yQ) and (xR, yR), respectively, then the coordinates of Q' and R' are:

Q' = (xQ + a, yQ + b)

R' = (xR + a, yR + b)

Note that the coordinates of point P do not change, as it is not part of the triangle being translated.

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The perimeter of the triangles are 12m and 16.2m.

Perimeter is a term used in geometry to refer to the total distance around the outside of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is commonly used to describe the "outer boundary" or "circumference" of a shape

According to the given information:

In the first triangle ABC, given that AB=5m and ∠B=53°.

By using trigonometric function,

sin 53° = \(\frac{opp}{hyp}\)

0.7986 = \(\frac{AC}{5}\)

AC = 3.993 ≈ 4

Cos 53° = \(\frac{adj}{hyp}\)

0.601 = \(\frac{CB}{5}\)

CB = 3.005 ≈ 3

Perimeter = 3+4+5 = 12m

In the second triangle ABC, given that AC=4.5m and ∠B=42°.

By using trigonometric function,

sin 42° = \(\frac{opp}{hyp}\)

0.6691 = \(\frac{4.5}{AB}\)

AB = 6.725 ≈ 6.7

cos 42° = \(\frac{BC}{AB}\)

0.7431 = \(\frac{BC}{6.7}\)

BC = 4.97 ≈ 5

Perimeter = 5+6.7+4.5 ≈ 16.2

The perimeter of the two triangles are 12m and 16.2m

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PART 1

The exponential decay model is given to be:

where a is the initial value and r is the decay rate.

In the question, the initial value is 15,500 and drops at a rate of 3%. This means that we have the following parameters:

Therefore, the exponential model is gotten to be:

PART 2

The graph of the function is shown below:

At x = 8000, we have the time as shown below:

The time will be 21.7 years.

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

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

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

greatest no. of fruits possible to keep in each heap is 7

no. of heaps is 14

Step-by-step explanation:

21 apples

28 pears

49 oranges.

\(28 \div 21\)quotient will be 1 and 7 remainder

\(21 \div 7\)

quotient will be 3 and 0 remainder

\(49 \div 7\)

quotient will be 7 and 0 remainder

hence, the greatest number of fruits is 7

Now,no. of heaps formed to keep fruits

Apple = 21

Pear = 28

Orange =49

Now, 21+28+49 = 98

Then, one heap can store can 7 fruits

Then,let the no. of heaps be x

x= 98÷7

x=14

Hence, no. of heaps = 14

a. The probability that an employee will lose more than 9 hours of productivity due to online social media engagement can be calculated using the z-score and the standard normal distribution.

First, we need to calculate the z-score for 9 hours:

z = (x - μ) / σ

where x is the value we want to calculate the probability for, μ is the mean, and σ is the standard deviation.

For 9 hours:

z = (9 - 7) / 1.9

z = 1.05

Next, we can use a standard normal distribution table or a statistical calculator to find the probability corresponding to a z-score of 1.05. From the table or calculator, we find that the probability is approximately 0.8531.

Therefore, the probability that an employee will lose more than 9 hours of productivity due to online social media engagement is approximately 0.8531, or 85.31%.

b. To calculate the probability that 12 employees will lose more than 8 hours of productivity due to online social media engagement, we need to use the concept of sampling distribution.

The mean of the sampling distribution for the number of hours lost by 12 employees would still be the same as the population mean, which is 7 hours. However, the standard deviation of the sampling distribution would be the population standard deviation divided by the square root of the sample size (12 in this case).

Standard deviation of the sampling distribution = σ / √n

= 1.9 / √12

≈ 0.5488

Now, we can calculate the z-score for 8 hours using the sampling distribution:

z = (x - μ) / σ

z = (8 - 7) / 0.5488

z ≈ 1.82

Using the standard normal distribution table or a statistical calculator, we find that the probability corresponding to a z-score of 1.82 is approximately 0.9641.

Therefore, the probability that 12 employees will lose more than 8 hours of productivity due to online social media engagement is approximately 0.9641, or 96.41%.

a. In order to calculate the probability that an employee will lose more than 9 hours of productivity, we need to convert the value to a z-score. The z-score measures the number of standard deviations an observation is from the mean. By using the z-score, we can refer to a standard normal distribution table or a statistical calculator to find the corresponding probability.

b. When calculating the probability that a certain number of employees will lose more than a given number of hours, we need to consider the sampling distribution. The mean of the sampling distribution remains the same as the population mean, but the standard deviation is adjusted based on the sample size. This adjustment is made by dividing the population standard deviation by the square root of the sample size. Once we have the z-score for the given value based on the sampling distribution, we can use the standard normal distribution table or a statistical calculator to determine the corresponding probability.

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The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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Answer:

3 per lemon

Step-by-step explanation:

If you take 12 and divide it by 4 you will get 3 which would be for 1 lemon.

First, locate any two point from the line.

(15, 150) and (25, 130)

x₁ = 15 y₁= 150

x₂ = 25 y₂ = 130

Next, is to find the intercept.

Substitute x=15 y=150 and m=-2 into y=mx + b and solve for b

That is;

150 = 15(-2) + b

150 = -30 + b

Add 30 to both-side of he equation

150 + 30 = b

180 = b

Form the equation by substituting m=-2 and b=180 into y=mx + b

y = -2x + 180

Hence, the line function is y = -2x + 180

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.