If the space mean speed of traffic on a roadway segment is 50 miles per hour and 150 vehicles per hour are traveling on the segment, the roadway density is ____ vehicles per mile

Answer:

x = 1 y = 2

Step-by-step explanation:

hard to explain but try it pretty sure its correct.

Answer:

What the other person said

The probability of spending more than two days in recovery from this particular surgical procedure is 0.9418 or approximately 94.18%.

The solution of this question is,

The probability of spending more than two days in recovery from a particular surgical procedure that has a mean recovery time of 5.3 days and a standard deviation of 2.1 days can be calculated using z-scores.

Here's how to do it:

Step 1: Calculate the z-score for the value of interest using the formula:

z = (X - μ) / σ

Where: X = 2 (the value of interest)

μ = 5.3 (the mean recovery time)

σ = 2.1 (the standard deviation)

z = (2 - 5.3) / 2.1z = -1.57 (rounded to two decimal places)

Step 2: Look up the probability (or area) to the right of the z-score in a standard normal distribution table (also known as a z-table). The probability of spending more than two days in recovery is the area to the right of the z-score (-1.57). Using a z-table, the area to the right of -1.57 is approximately 0.9418 (rounded to four decimal places).

Step 3: Interpret the result. The probability of spending more than two days in recovery from this particular surgical procedure is 0.9418 or approximately 94.18%. Therefore, the chances are high that a patient will spend more than two days in recovery after undergoing this surgical procedure.

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Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

\(V = Pe^{rt}\)

We have

\(V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90\)

Hence after 18years the money in the account will be $430.90

2x + y ≤ 7 is the solution

Answer:

-12

Step-by-step explanation:

I promise it's right

The Answers are given below:

A variable is an alphabet that an be assigned a number and the number is not fixed.

A variable can be stable (independent) or unstable (dependent) variable.

In conclusion, the list above is the answers for each question given.

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if it wants the measurement of arcJK....

Answer:

ArcJK= 128

Step-by-step explanation:

Circle is 360 degrees

<KL is the diameter which is a straight line equals 180 degrees

Since <KLis also a central angle arcKL equals 180

Take <K (26) and times by two cause its an inscribe angle, 26*2=52

arcJL=52

add both arcKL and arcJL together: 180+52=232

then you take 360-232=128

and 128 is KLarc

To find the result of multiplying vector a by vector b, we use the dot product or scalar product. The dot product of two vectors is calculated by multiplying the corresponding components and summing them up.

Given:

a = [1, 3, 5]

b = [1, 3, 5]

To find a · b, we multiply the corresponding components and sum them:

\(a . b = (1 * 1) + (3 * 3) + (5 * 5)\\ = 1 + 9 + 25\\ = 35\)

So, a · b equals 35.

Now, let's plot the coordinate (35) on a graph paper. Since the coordinate consists of only one value, we'll plot it on a one-dimensional number line.

On the number line, we mark the point corresponding to the coordinate (35). The x-axis represents the values of the coordinates.

First, we need to determine the appropriate scale for the number line. Since the coordinate is 35, we can select a scale that allows us to represent values around that range. For example, we can set a scale of 5 units per mark.

Starting from zero, we mark the point at 35 on the number line. This represents the coordinate (35).

The graph paper would show a single point labeled 35 on the number line.

Note that since the coordinate consists of only one value, it can be represented on a one-dimensional graph, such as a number line.

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The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

$8.60

Step-by-step explanation:

Let x = the tip

80 - x = 9(5.85 + 1.25) + 5(1.50)

80 -x = 63.90 + 7.5

80 - x = 71.40  Subtract 80 from both sides

-x = -8.60  Divide both sides by -1

x = 8.60

Answer:

Concordat of 1801, agreement reached on July 15, 1801, between Napoleon Bonaparte and papal and clerical representatives in both Rome and Paris, defining the status of the Roman Catholic Church in France and ending the breach caused by the church reforms and confiscations enacted during the French Revolution .Step-by-step explanation:

Answer:

........

Step-by-step explanation:

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

Here,

We have to find the concerned with making prediction about a population from analyzing a sample or through observation.

What is Inferential statistic?

Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.

Now,

Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.

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Answer:

c 1

A F E 2

Step-by-step explanation:

Answer:

A)

2x+5y=37

4x+3y=39

Answer:

A

Step-by-step explanation:

Answer:

188 cents, or 1 dollar and 88 cents ($1.88)

Step-by-step explanation:

We first want to find how many cents per one inch, and we do this by dividing 17 from 68 (68/17). This gets us 4 cents per inch. Now we need to multiply 4 by 47 (4 x 47). Now we get 188 cents. The equation for this would be y = 4x

The solution is: 188 cents, or 1 dollar and 88 cents ($1.88) will 47 inches of wire cost.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

We first want to find how many cents per one inch, and we do this by dividing 17 from 68

i.e. (68/17).

This gets us 4 cents per inch.

Now we need to multiply 4 by 47

i.e. (4 x 47).

Now we get 188 cents.

so,  (4 x 47) = 188

The equation for this would be y = 4x.

Hence, The solution is: 188 cents, or 1 dollar and 88 cents ($1.88) will 47 inches of wire cost.

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Answer:

c) angle 4

Step-by-step explanation:

correspond is same spot but diagonally.

Answer:

To simplify this expression, we first need to evaluate the expression inside the parentheses:

10 - 9 + 6 = 7

Now we can substitute this value back into the original expression:

10 + 28 ÷ 7 (7) = 10 + 4(7) (since 28 ÷ 7 = 4)

= 10 + 28

= 38

Therefore, 10 + 28 divided by 7 (10-9+6) equals 38.

Answer: 10.78

Step-by-step explanation:

Answer:

The answer would be C. -4.

Step-by-step explanation:

x^2=64

x=8

2(8)-20=-4

X²=64 ----- 1️⃣

2x-20 ----- 2️⃣

By equation 1️⃣ we have:

\( \sf {x}^{2} = 64 \\ \sf \: x = \sqrt{64} \\ \sf \: x = 8\)

Substitute this value into equation 2️⃣:

\( \sf \: 2x - 20 \\ \sf \: 2 \times 8 - 20 \\ \sf \: 16 - 20 \\ \boxed{ \tt \: - 4}\)

A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.

Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:

∫0.3^10 g(x) dx = 1

Using this information, we can find g(y) by integrating g(x) with respect to x:

g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7

Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):

f(x,y) = g(y) = 1 / 9.7

We need to find the integral of f(x,y) over the rectangle R, which is:

∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928

Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.

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Answer:

Step-by-step explanation:

Let the integers be:

Their sum is 42:

The numbers are: 13, 14 and 15

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The length of the metal tray can be determined by adding the given dimensions of the tray, which are 20 inches and 14 inches, along with the unknown dimensions represented by "X."

To find the length of the metal tray, we need to consider the given dimensions and the unknown dimensions represented by "X." Let's assume that the length of the metal tray is L. From the given diagram, we can observe that the 20-inch dimension corresponds to one end of the tray, and the 14-inch dimension corresponds to the other end of the tray. In between, there are three sections denoted by "X."

Therefore, the expression for the length of the metal tray can be written as L = 20 + X + X + X + 14, which simplifies to L = 54 + 3X. Thus, the length of the metal tray can be calculated by adding the fixed dimensions and three times the value of "X."

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The main difference between correlation and causation is that correlation refers to a relationship between two variables, whereas causation refers to the effect that one variable has on another.

Correlation means that there is a statistical association between two variables, but it does not necessarily mean that one causes the other.

Establishing causation is harder than establishing correlation because it requires evidence of a causal mechanism or a plausible explanation for the observed relationship. In other words, we need to show that one variable is directly responsible for the changes in the other variable.

For example, let's say there is a correlation between ice cream consumption and crime rates. This means that as ice cream consumption increases, crime rates also tend to increase. However, this does not necessarily mean that ice cream consumption causes crime. It could be that a third variable, such as hot weather, is responsible for both the increase in ice cream consumption and crime rates.

To establish causation, we need to show that there is a direct link between ice cream consumption and crime rates. For example, we could conduct a randomized controlled trial where we randomly assign people to eat different amounts of ice cream and measure their subsequent behavior. If we find that people who eat more ice cream are more likely to commit crimes, we can conclude that there is a causal relationship between ice cream consumption and crime rates.

In summary, while correlation can suggest a relationship between variables, causation requires more rigorous evidence to establish a direct causal link.

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An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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Step-by-step explanation:

Simplify for m by using algebra.

Divide each side by 3:

\( \frac{3m}{3} = \frac{0.95}{3} \)

\( m = \frac{19}{60} \)

Answer:

116 degrees

Step-by-step explanation:

Answer:

x=5 y=1

Step-by-step explanation:

Like x^2-4x+3=0 or sin(x)=1.

short answer is that x equals 1.

Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

Explanation:

A rectangle has the following properties:

A parallelogram has the following properties:

The similiarities between a rectangle and a parallelgram:

The difference between a rectangle and a parallelogram:

The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.