The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building has three underground levels for parking. A car is parked two levels below ground. At what elevation are the car’s tires relative to the ground level? Assume the ground level is at zero feet.
A) -19 1/2 feet
B) -12 feet
C) 8 feet
D) 19 1/2 feet
please explane how??​

We need to know about z-score to solve the problem. The z-score of the soda is 0.6

A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.

z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6

Therefore the z-score of the soda is 0.6

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10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

The quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

To determine which function best models the given data, we will analyze the options and evaluate their fit based on the information provided.

\(Option a: y = -x^2 + 20x + 40Option b: y = -2x^2 + 20x + 60Option c: y = x^2 + 20x + 60Option d: y = -x^2 + 20x + 60\)

We will compare the options based on their general form and characteristics to see which one aligns best with the given data.

1. Quadratic form: All the options are quadratic functions in standard form, y = ax^2 + bx + c, which is suitable for modeling a parabolic relationship.

2. Coefficients: Let's compare the coefficients a, b, and c for each option:

  Option a: a = -1, b = 20, c = 40

  Option b: a = -2, b = 20, c = 60

  Option c: a = 1, b = 20, c = 60

  Option d: a = -1, b = 20, c = 60

  Among these options, we notice that options a, b, and d share the same coefficient values for a and b, while option c has a different value for a. Since the coefficients a and b are the same for options a, b, and d, we will focus on those.

3. Vertex and concavity: The vertex of a quadratic function in standard form is given by (-b/2a, f(-b/2a)), where f(x) represents the function. The concavity of the parabola can be determined by the sign of the coefficient a.

  For options a, b, and d, the vertex is (10, f(10)) since b = 20 and a = -1 for these options.

  Option a: Vertex (10, f(10))

  Option b: Vertex (10, f(10))

  Option d: Vertex (10, f(10))

  Since the coefficient a is negative in all three options, the parabolas will have a downward-facing concavity.

4. Evaluation: Based on the above analysis, we can conclude that options a, b, and d have similar characteristics and share the same vertex at (10, f(10)). However, option c differs from the others in terms of its coefficient a and does not match the given data as closely.

Therefore, the quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

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The best function that models the given data is y = -x^2 + 20x + 60.

The best function that models the given data of the number of visitors in the park requiring first aid during the heat wave is option d. \(y = -x^2 + 20x + 60\).
To determine the best function, we need to consider the characteristics of the scatter plot. The function that models the data should exhibit a downward-opening parabolic shape because the number of visitors requiring first aid decreases as the number of visitors increases.

Looking at the options, we can see that option d is the only one that represents a downward-opening parabola. The negative coefficient of \(x^2\)(-1) ensures that the parabola opens downwards.
The coefficient of x in option d (+20) indicates that the parabola is shifted 20 units to the right. This makes sense because as the number of visitors increases, the number requiring first aid also increases, indicating that the peak of the parabola occurs at a higher number of visitors.
The constant term (+60) represents the y-intercept, which is the value of y when x is 0. In this case, it represents the initial number of visitors requiring first aid.

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Answer:  g = 5/7

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

Work Shown:

Let's move the -3/7 to the other side, to fully isolate g.

We do so by adding 3/7 to both sides (to undo the subtraction)

\(g - \frac{3}{7} = \frac{2}{7}\\\\g - \frac{3}{7}+\frac{3}{7} = \frac{2}{7}+\frac{3}{7}\\\\g = \frac{2+3}{7}\\\\g = \frac{5}{7}\\\\\)

Luckily all of the denominators are the same (7), so we can add the fractions by adding the numerators to place that sum over the common denominator.

Answer:

12+34+67+12

Step-by-step explanation:

im in 12th grade with straight as trust me

To find the equation of the plane, we need to use the point-normal form of the equation of a plane, which is: Ax + By + Cz = D ,where (A,B,C) is the normal vector of the plane and (x,y,z) is any point on the plane.

In this case, the given point is (0,4,0), and the given vector is n = -8i + 3k. To find the normal vector of the plane, we can take the cross product of n with the vector <0,1,0> (since we want the plane to be perpendicular to the y-axis): n x <0,1,0> = (-8i + 3k) x <0,1,0> = -8j So the normal vector of the plane is <0,-8,0>, and the equation of the plane is: 0x - 8y + 0z = D.

To find D, we can plug in the coordinates of the given point:
0(0) - 8(4) + 0(0) = D
D = -32

So the equation of the plane is:
0x - 8y + 0z = -32
or simply:
-8y = -32
y = 4

Therefore, the equation of the plane that passes through the point (0,4,0) and is perpendicular to the vector -8i + 3k is:
-8y = -32
or
y = 4.

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Answer:

m-4=2m                                                                                                                                        

:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

The number of terms required to achieve a desired accuracy in finding the sum of a series depends on the specific series and the level of accuracy desired. In general, as we add more terms to the series, the approximation of the sum improves, leading to a higher level of accuracy.

To understand how many terms are needed to find the sum with a given accuracy, let's consider an example. Suppose we have an infinite series represented as:

S = a + b + c + d + ...

where 'a', 'b', 'c', 'd', and so on are the terms of the series.

To find the sum of this series, we can take partial sums by adding a certain number of terms. For example, if we add only the first two terms, we get S2 = a + b. If we add the first three terms, we get S3 = a + b + c. The more terms we add, the closer the partial sum gets to the actual sum of the series.

The accuracy of our approximation is determined by the difference between the partial sum and the actual um. To specify the desired accuracy, we can define an error tolerance or a maximum allowable difference between the partial sum and the actual sum.

For instance, if we want our approximation to be accurate within a certain threshold, say ε, we need to find the smallest number of terms that make the difference between the partial sum and the actual sum less than ε.

The number of terms required to achieve the desired accuracy will depend on the convergence properties of the series. Some series converge rapidly, meaning that adding a few terms yields a very accurate approximation, while others converge slowly, requiring a larger number of terms for the same level of accuracy.

To determine the number of terms needed, we can use convergence tests specific to the series at hand. These tests include the Ratio Test, the Root Test, and the Comparison Test, among others. These tests help us determine whether a series converges or diverges and provide insights into its convergence rate.

In summary, the number of terms required to find the sum of a series with a given accuracy depends on the specific series and the desired level of accuracy. By using convergence tests and considering the error tolerance, we can estimate the number of terms needed to achieve the desired accuracy in approximating the sum of the series.

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

emily 37.44$ Andy 22.15$

Step-by-step explanation:

Andy needs 23 feet multiply 23 feet by 12 you get the amount of inches so 276 inches if the cost for 130 inches is 10.40 we need to increase this number proportionally to 276 So 130+113%=276.9 so 276. Now 10.40x113%=22.15.

Emily needs 13 yards, 13 yards is 39 feet, 39 feet is 468 inches, Now do same thing we did for Andy. 130+360%=468 exactly 10.40+360%=37.44

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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The population you're focusing on for your experiment is "Americans over the age of 30."

the population in your experiment would be "Americans over the age of 30." Here's the breakdown:

1. You are interested in the preference of Coke over Pepsi among Americans.
2. You specifically want to test this preference for those who are over the age of 30.
3. You plan to conduct an experiment with 100 people from this population.

A population in statistics is the complete set of individuals or objects that have one or more characteristics in common . A population can be finite or infinite, existent or hypothetical. A sample is a subset of the population that is selected for a study

Therefore, the population you're focusing on for your experiment is "Americans over the age of 30."

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No, the boy did not use the same amount of power the second time.

Power is defined as the rate at which work is done, and it is calculated as the amount of work done divided by the time taken.

In this scenario, the work done is the same because the boy mows the same distance (assuming the lawn remained the same size). However, the time taken to complete the task is different.

First time: Time = 1.0 hour

Second time: Time = 0.5 hour

Since power is directly proportional to work and inversely proportional to time, we can conclude that the power output was higher the second time. This is because the same amount of work was accomplished in half the time. The boy was able to mow the lawn more quickly, indicating a greater power output during the second attempt.

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The inverse Laplace transform, we have C-1 3s – 20 s(s+4) = f(t), where the correct choice is Of( t) = -5 8e4t.

To determine the inverse Laplace transfigure, we first need to simplify the expression on the left- hand side of the equation. Expanding the equation gives C- 1/( 3s) 20/( s 4) = f( t).

Taking the inverse Laplace transfigure of each term, we get

 L- 1{ C}- L- 1{ 1/( 3s)} L- 1{ 20/( s 4)} = f( t).

The inverse Laplace transfigure of 1/( 3s) is(1/3) u( t),

where u( t) is the unit step function.

The inverse Laplace transfigure of 20/( s 4) is 20e(- 4t) u( t).

the equation becomes

C-(1/3) u( t) 20e(- 4t) u( t) = f( t).

Simplifying further,

we have C( 20e(- 4t)-1/3) u( t) = f( t).

Comparing this with the given options, the correct choice is Of( t) = -5 8e4t, as it matches the form of the equation we deduced.

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The sample space of the game is: S = {1, 2, 3, 4, 5, 6}.

The idea of probability describes the possibility of an event happening.

We frequently have to make forecasts about the future in real life.

We may or may not be aware of the outcome of an event.

When this happens, we declare that there is a chance the event will take place.

In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.

The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of possible outcomes.

S = {1, 2, 3, 4, 5, 6}

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The marginal probability mass functions of X and Y are:

In the given scenario, X and Y are two random variables that are uncorrelated but not independent. The joint probability mass function of X and Y is provided as follows:

P(X = 0, Y = 0) = 0.2

P(X = 0, Y = 1) = 0.1

P(X = 0, Y = 2) = 0.1

P(X = 1, Y = 0) = 0.1

P(X = 1, Y = 1) = 0.2

P(X = 1, Y = 2) = 0.1

To obtain the marginal probability mass functions, we sum the probabilities for each value of X and Y.

For X:

P(X = 0) = 0.2 + 0.1 + 0.1 + 0.1 = 0.5

P(X = 1) = 0.1 + 0.2 + 0.1 + 0.1 = 0.5

Therefore, the marginal probability mass function of X is P(X = 0) = 0.5 and P(X = 1) = 0.5.

For Y:

P(Y = 0) = 0.2 + 0.1 = 0.3

P(Y = 1) = 0.1 + 0.2 + 0.1 = 0.4

P(Y = 2) = 0.1 + 0.1 = 0.2

Hence, the marginal probability mass function of Y is P(Y = 0) = 0.3, P(Y = 1) = 0.4, and P(Y = 2) = 0.2.

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The equation that will calculate the minimum amount of water A (in gallons) pumped after x days during mid-October to late December is given as follows:

A(x) = 940800x.

A proportional relationship is defined by a linear model with intercept of zero as follows:

y = kx.

In which k is the constant of proportionality.

For the minimum amount, we have that:

Hence the constant is given as follows:

k = 1120 x 60 x 14 = 940800.

(one hour = 60 minutes).

Hence the equation is:

A(x) = 940800x.

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As both prism have the same base area and height there volumes are the same.

What is called prism?

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                             = 5 units*12 units

                            = 60 cubic units

As both prism have the same base area and height there volumes are the same.

Therefore, The length of the longer side is the length of the triangle itself.

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The complete question is -

Prism A has a volume of 60 cubic units and a height of 12 units. Prism B has the same base area and height but a length of 15 units for the longest edge

Answer:

Step-by-step explanation:

yes

Answer:-4.86

Step-by-step explanation:.

Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.

A proportion is a fraction of a total amount.

Hence, the batting average is given by the number of hits divided by the number of at-bats.

If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:

\(0.4 = \frac{8 + x}{25 + x}\)

8 + x = 10 + 0.4x

0.6x = 2

x = 3.33

Rounding up, she needs 4 consecutive hits to raise her batting average to .400.

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Answer:

1) it looks like it'll be (1,5)

2) it looks like it'll be (-1,-1)

hope it's right

Step-by-step explanation:

Answer:

use symbolab

Step-by-step explanation:

There are approximately over 60 million shipping containers in the world. Containers are stacked and arranged in these ports, creating an impressive sight and highlighting the scale of global trade.

Shipping containers are standardized metal boxes used for transporting goods by sea, rail, or road. They come in various sizes, including 20-foot and 40-foot lengths. These containers have revolutionized global trade, allowing for efficient and secure transportation of goods across long distances. While exact numbers are challenging to determine due to factors such as container movement and usage, estimates suggest that there are over 60 million shipping containers worldwide. This vast quantity of containers enables the global economy to function smoothly by facilitating the movement of goods between countries and continents.

The extensive use of shipping containers has led to the establishment of container ports and specialized container ships that can accommodate large numbers of containers.Moreover, repurposing shipping containers for alternative uses, such as modular homes or pop-up shops, has gained popularity in recent years, demonstrating the versatility and durability of these units.

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Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Based on your knowledge of context-dependent memory, you recommend that Delores studies in an environment similar to the exam setting to enhance memory recall and performance.

Context-dependent memory refers to the phenomenon where memory recall is improved when the external environment during learning or encoding matches the environment during retrieval. To leverage this effect for effective studying, you advise Delores to recreate the exam setting as much as possible while studying. This means studying in a quiet place, similar to the exam room, and using similar materials such as textbooks or online resources.

By studying in a context similar to the exam environment, Delores can enhance memory retrieval during the actual exam. The familiarity of the surroundings, sensory cues, and overall context can trigger associations and facilitate the retrieval of information learned during studying. This can result in better performance and improved memory recall, as the brain is primed to retrieve information within the same context it was learned.

It's important to note that context-dependent memory is just one strategy among many, and different individuals may have different preferences and learning styles. Delores should also consider other effective study techniques such as active learning, spaced repetition, and self-testing to optimize her exam preparation.

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Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

2022