A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?

Answer: x > 5

Step-by-step explanation: I am good at math :)

9514 1404 393

Answer:

  d.  The triangles are not similar

Step-by-step explanation:

The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...

  QR/RS = 4/15

In ΔVTU, we have ...

  VT/TU = 8/32 = 1/4 ≠ 4/15

The triangles are not similar because corresponding sides are not proportional.

Answer:

16

Step-by-step explanation:

11 x 11 = 121

5 x 5 x 5 = 125

11+5 = 16

Answer: . . . . . . Step-by-step explanation:

The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Given function h(x)=\(10x^{2} -6x\).

We are required to find the domain of the given function.

Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.

The function is h(x)=\(10x^{2} -6x\).

We have not given any range of the function, so we donot know the limit under which the values of that  function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

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Expected value is the sum of all the possible values of a variable, weighted by the probability of each possible outcome. To find the expected value of the Dice Game, we need to use the formula of expected value. We have to multiply the probabilities of each event with their respective outcomes, add the resulting values.

Therefore, the expected value of the Dice Game is $6.33. According to the question;The cost of playing the Dice Game is $11.There are six possible outcomes of the game: 6, 5, 4, 3, 2, 1.The possible outcomes and their corresponding winning amounts are given below;If we represent the probability of each event in decimal form, we have the following table;Based on the given table, we will calculate the expected value using the following formula

Expected value = (Probability of Event 1 × Value of Event 1) + (Probability of Event 2 × Value of Event 2) + (Probability of Event 3 × Value of Event 3) + … + (Probability of Event n × Value of Event n)Expected value = (1/6 × $75) + (1/3 × $50) + (1/6 × $12) + (1/3 × $0)Expected value = $12.5 + $16.67 + $2 + $0Expected value = $6.33So, the expected value of the Dice Game is $6.33. That is if you play the game multiple times, on average, you are expected to win $6.33 per game. Therefore, you will get $6.33 in the long run if you play this game several times.

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Answer:

\(x=-1+\sqrt{\frac{3}{2}\)

\(x=-1-\sqrt\frac{3}{2\\}\)

I'm not sure of the answer

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Answer:

100(x-3)

Step-by-step explanation:

100x - 300= 100x - 3×100

= 100(x-3)

by the way the third expression is true too

Based on the information given regarding the percentage, the concentration of the new mixture will be 3.8 gallons.

From the information given, it was stated that a gallon of 80% acid was mixed with 3 gallons of water.

Therefore, the concentration of the new mixture will be:

= (80% × 1) + 3

= (0.8 × 1) + 3

= 0.8 + 3

= 3.8

Therefore, the new concentration will be 3.8.

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Answer:

1. Most people without iphones have MP3 Players (first correlation), meaning that if you have an iphone you most likely don't NEED a MP3 player (this may not be a fact just a thought). Also having a iphone most of been pretty common during this time, cause only 12 out of 50 people didn't have one.

2. I gathered the percents of how many people with iphones and a MP3 player, and how many without iphones have a MP3 player. About 53% of people with iphones have a MP3 player while a whopping 67% of people without iphones had a MP3 player. This helped with the correlation and can also help the gathering of data be more useful to other questions. For example, "What percentage of people have an iphone?".

Step-by-step explanation:

=========================================================

Explanation:

LK = 7x-10 is given

MK = 7x-10 as well because LK = MK

KN = x+3 is given

MN = 9x-11 is given

MK+KN = MN due to the segment addition postulate

Let's plug in the expressions for MK, KN and MN. Then we'll solve for x.

MK+KN = MN

(7x-10)+(x+3) = 9x-11

8x-7 = 9x-11

-7+11 = 9x-8x

4 = 1x

x = 4

With this x value in mind, we can then say that:

LK = MK = 7x-10 = 7*4-10 = 18

LJ = LK+KJ = 18+28 = 46

Answer:

24

Step-by-step explanation:

area = wl (6×4 = 24)

w width l length

Answer:

To find the probability of selecting a green or black marble, we need to add the number of green marbles (16) to the number of black marbles (9) and divide by the total number of marbles (7 + 8 + 16 + 9 = 40). So the probability is:

(16 + 9) / 40 = 0.625 or 62.5% in decimal form.

Answer:

a1 = 2; an = an–1 ∙ (3) for n ≥ 2

Step-by-step explanation:

The sketch of the graph of the logarithm function is added s an attachment

From the question, we have the following parameters that can be used in our computation:

y = 3log₂(-x) - 9

The above equations is an illustration of a logarithm function that has been transformed using the following

Next, we plot the graph using a graphing tool

The graph of the logarithm function is added as an attachment

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Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

Answer:

x=1/3,y=3

Step-by-step explanation:

y=7x+6_____equation1

5x+y=2_____equation2

substitute y into equation 2

5x+7x+6=2

12x+6=2

12x=2-6

12x=-4

x= -1/3

substitute X into equation 1

y=7x+6

y=7(-1/3)+6

y=-7/3+6

y=9/3

y=3

The conic section generated when a plane intersects a double-napped cone at a 20-degree angle in reference to the circular base and cuts through all sides of the cone is an ellipse.

When a plane intersects a double-napped cone, the resulting conic section depends on the angle of intersection. In this case, the plane intersects the cone at a 20-degree angle, which is less than the slope of the cone's sides. When a plane cuts through all sides of the cone at an angle less than the slope, it creates an ellipse.

An ellipse is a closed curve that resembles a flattened circle. It has two focal points inside the curve, and the sum of the distances from any point on the ellipse to these focal points remains constant. The shape of the ellipse is determined by the ratio of the distance between the focal points and the length of the major axis.

In the given scenario, the plane intersects the double-napped cone at a 20-degree angle, resulting in an elliptical conic section. The specific dimensions and proportions of the ellipse would depend on the cone's shape and size, as well as the angle of intersection.

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The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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The H3N2 human influenza virus is a type of virus abundant in the seasonal flu. In the study conducted at CSU in the Department of Biomedical Sciences, 15 ferrets were randomly assigned to either receive a vaccine (treatment) or not (control).

After 27 days, both groups were exposed to the H3N2 virus, and their weights were recorded before exposure and 5 days after exposure. Additionally, their maximum temperature reached during those 5 days was recorded. An effective vaccine should mitigate the symptom of increased body temperature, which is associated with H3N2 infection.

The variables in this data set include the ferrets' weight, maximum temperature reached, and treatment status (vaccine or control).

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The number of students who like dressmaking and catering only is 7.

The number of students who did not choose any of the 3 vocations is 12.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Total students = 40

The Venn diagram is given below.

The number of students who like dressmaking and catering only.

= 7

Total number of students who like at least one vocation.

= 28

The number of students who did not choose any vocation.

= 40 - 28

= 12

Thus,

7 students like dressmaking and catering only.

12 students did not choose any vocation.

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Answer:

1.5 hours to 525 km

Speed in km/h=

\(525 \div 1.5 = 350 \: kmph\)

Step-by-step explanation:

XD

The estimated probability of Kelly double faulting on her next serve would be (600 + 300) / 1000 = 0.9 or 90%.

To design a simulation using a random number generator to estimate the probability that Kelly double faults on her next serve, we can follow these steps:

1. Determine the probability of Kelly double faulting on her first serve:
  - Given that her first serve percentage is 40%, the probability of Kelly landing her first serve "in" is 0.40.
  - Therefore, the probability of Kelly double faulting on her first serve is the complement of 0.40, which is 1 - 0.40 = 0.60.

2. Determine the probability of Kelly double faulting on her second serve:
  - Given that her second serve percentage is 70%, the probability of Kelly landing her second serve "in" is 0.70.
  - Therefore, the probability of Kelly double faulting on her second serve is the complement of 0.70, which is 1 - 0.70 = 0.30.

3. Use a random number generator to simulate the serve:
  - A random number generator can be used to generate a random number between 0 and 1.
  - If the generated random number is less than or equal to 0.60, it represents Kelly double faulting on her first serve.
  - If the generated random number is greater than 0.60 but less than or equal to 0.90, it represents Kelly double faulting on her second serve.
  - If the generated random number is greater than 0.90, it represents Kelly successfully landing her serve "in".

4. Repeat the simulation multiple times:
  - By repeating the simulation multiple times, we can obtain an average probability of Kelly double faulting on her next serve.

For example, if we repeat the simulation 1000 times, and Kelly double faults on her first serve in 600 instances and on her second serve in 300 instances, the estimated probability of Kelly double faulting on her next serve would be (600 + 300) / 1000 = 0.9 or 90%.

Remember, this is just an estimation based on the provided percentages and random number generation. The actual probability may vary in real-life situations.

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Setting the denominator equal to zero and factoring, we get:

x^2 - 11x + 2 = 0

Determine all horizontal asymptotes of f(x) = (x - 2)/(x^2 + 2x + 2)

To find the horizontal asymptotes of f(x), we need to examine the limit of f(x) as x approaches positive or negative infinity.

As x approaches infinity, the terms involving x^2 and 2x become insignificant compared to x^2. Thus, we can simplify the function by ignoring the terms containing x:

f(x) ≈ x/x^2 = 1/x

As x approaches negative infinity, we can make a similar simplification:

f(x) ≈ -x/x^2 = -1/x

Therefore, we can conclude that the function f(x) has two horizontal asymptotes, y = 0 and y = -1.

Determine all vertical asymptotes of f(x) = (x - 2)/(x^2 - 11x + 2)

To find the vertical asymptotes of f(x), we need to look for values of x that make the denominator of f(x) equal to zero. These values would make the function undefined.

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Answer:

About 10.802

Step-by-step explanation:

Using the formula for a right circular cone, we can find that the volume is:

\(r=d\div 2 = 2.3 \div 2 = 1.15\\\\\dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\pi (1.15)^2 (7.8) \approx 10.802\)

The level of confidence, variability estimates, and sample size can help determine the accuracy (sample error) and estimate the costs of the sample.

Explanation: The level of confidence (e.g., 95%) indicates the probability that the sample accurately represents the population. It determines the range within which the population parameter is estimated. The variability estimates, such as the standard deviation or variance, provide information about the spread of the data. By combining the level of confidence, variability estimates, and sample size, one can estimate the accuracy or sample error, which represents how closely the sample statistics reflect the population parameters.

Determining the costs of the sample involves factors beyond the provided information, such as data collection methods, analysis procedures, and logistical considerations. The representativeness of the sample depends on the sampling method used and how well it captures the characteristics of the target population.

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