The hits to a Web site occur at the rate of 10 per minute between 7:00 P.M. and 10:00 P.M. The random variable X is the number of hits to the Web site between 7:56 P.M. and 8:22 P.M. State the values of land for this poisson process.

Answer:

30) 96 people

31) 128 people

32) 128 people

33) Radio 5

Step by step explanation:

30) To find the number of people who prefer radio 1, we have to find the percent of radio 1 as against 640 people.

Radio 1 has 15percent out of 640 people

15/100×640 = 9600/100 = 96 people

Therefore, 96 people out of 640 people prefer Radio 1

31) To find the number of people who prefer radio 4, we have to find the percent of radio 4 as against 640 people.

20/100 × 640 = 12800/100 = 128 people.

Therefore, 128 people prefer radio 4

32) To do this, we have to find the total number of people who prefer Radio 2 and Radio 3 and subtract them together to be able to find the answer.

Number of people who prefer Radio 2:

30/100 × 640 = 19200/100 = 192 people

Number of people who prefer Radio 3:

10/100 × 640 = 6400/100 = 64 people

People who prefer Radio 2 than Radio 3

192 people - 64 people = 128 people

33) Radio 1 attracts 15 percent of listeners. Radio 3 attracts 10 percent of listeners. Sum that up (15% + 10% = 25%) and you have 25 percent. Radio 5 has 25 percent of listeners. Therefore, radio 5 is the answer

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Hope this helps!

Using it's concept, it is found that the desired probability is given by:

P(Head, Diamond AND Head, Heart) = 1/64.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, each outcome is equally as likely, having a 1/8 probability, and they are independent.

Then:

P(Head, Diamond AND Head, Heart) = 1/8 x 1/8 = 1/64.

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The value of the multiplier is **2**.

The multiplier is the ratio of the change in real GDP to the change in autonomous spending. It is calculated as follows:

```

Multiplier = 1/(1-MPC)

```

Where MPC is the marginal propensity to consume.

In this case, the slope of the AE curve is 0.80. This means that the MPC is 0.80. Therefore, the multiplier is 2.

A multiplier of 2 means that a change in autonomous spending will lead to a change in real GDP that is twice as large. For example, if autonomous spending increases by $100, then real GDP will increase by $200.

The slope of the AE curve is equal to 1/(1-MPC). Therefore, the slope of the AE curve can be used to calculate the value of the multiplier.

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Answer: C=9.75 * x + 75

Step-by-step explanation:

It costs 9.75 to print each shirt, and x is the amount of shirts you want to print. You also have to pay the school a start up fee so you'll just add 75.

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

The type of conic section that is represented in the provided equation form is ellipse.

To identify the type of conic section from an equation whether it is circle or ellipse.

Let us  suppose the equation as,

\(Ax^{2} +By^{2}+Cx+Dy+E=0\)

In this equation,

We have to identify the type of conic section that has the equation,

\(4x^{2} +25y^{2}=100\)

By comparing this equation with the above equation, we get,

\(A=4\\B=25\)

Here neither \(A\) or \(B\) is equal to \(0\) and the sign of both are

similar(positive), so the equation form is ellipse.

Therefore, the type of conic section which is represented in the provided equation form is ellipse.

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number 7 is 21 people

Step-by-step explanation:

for number 7 I got 21 because if 6 pounds feeds 14 people then if you divide both by 2 then you will get 3 pounds feed 7 people and to find 9 pounds its 7×3 which is 21.

Answer:

2s/n-a=L

Step-by-step explanation:

So first we divide (n÷2) so it will be s/(n÷2) =a+L. Next we subtract L and get s/(n÷2)-a. That's not it yet, since 2 is being divided in the denominator, we have to reciprocal it meaning multiply, it to the top value. So it would 2s/n-a=L. But you can just leave it like that if you desire and your teacher doesn't mind.

Betty will get 26 feet, 2 inches on adding up the four dimensions. Hence, option(C) is correct option.

Given that, Betty is adding up the four dimensions that appear on a construction plan. The dimensions are as follows:

Feet          inches

7                      3

3                      6

9                      6

5                     11

Now, we just have to add the feet and inches and then conclude the final answer. Let's proceed to solve this question.

Feet = 7+3+9+5 = 24 feet

inches = 3+6+6+11 = 26 inches

Now, we know that 1 feet = 12 inches

Hence, 26 inches = 2 feet 2 inches

Now, 2 feet will get add into the 24 feet and it will become 26 feet and 2 inches left with us now.

The final answer is 26 feet, 2 inches.

Therefore, option(C) is correct option.

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Answer:

P  = 32

x  = 35

Step-by-step explanation:

For the first diagram,

 The two angles given are corresponding angles. Corresponding angles are equal;

 So;

    the first angle is a right angle triangle;

  90 =  3P - 6

       3P  = 90 + 6

        3P  = 96

          P  = 32

For the second diagram;

The sum of those two angles is 180°

      (x + 75) + 2x = 180

      x + 2x + 75  = 180

          3x + 75  = 180

          3x  = 180 - 75

         3x  = 105

          x  = 35

Answer:

36

Step-by-step explanation:

Answer:

The solution is (x = 6, y = -3)

Step-by-step explanation:

\(\sf \frac{x}{y + 1} = - 3 \: \: ........(1) \\ \\ \sf \frac{y}{x - 3} = - 1 \: \: ........(2) \\ \\ - - - - - - - - - \\ \\ \sf x + 3y = - 3 \: ........(1) \\ \\ \sf x + y = 3 \: \: \: \: \: \: ........(2) \\ \\ - - - - - - - - - \\ \\ \: \: \: \sf x + 3y = - 3 \: \: \: \: \: | \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \sf x + y = 3 \: \: \: \:\: \: \: \: | \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Hence, if a cricket chirps 70 times, a good estimate of the outside temperature is 5.49 degrees Celsius.

A scatterplot is a particular kind of graphical display that uses a collection of dots on a this double coordinate plane to represent a collection of information values. A pair of values, often a variable shown on the horizontally (x) axis and a predictor variables plotted just on vertical (y) axis, are represented by each figure on the plot. Each point's location provides information about both variables' values, and the arrangement of the points can show any relationships between the two factors. Scatterplots are frequently used to spot patterns, correlations, or other connections between different data sets.

given

According to the scatterplot, a logical line of greatest fit would go via the points (15, 57) and (90, 89). We must first determine the slope of this line in order to determine its equation:

slope = (89 - 57) / (90 - 15) = 0.53

The equation of the line can therefore be expressed in the point-slope form of a linear equation as follows:

y - 57 = 0.53(x - 15) (x - 15)

If we simplify this equation, we get:

y = 0.53x - 30.11

If a cricket chirps 70 times, what will the outside temperature be? We may solve for y by substituting 70 for x and making the following prediction:

y = 0.53(70) - 30.11 = 5.49

Hence, if a cricket chirps 70 times, a good estimate of the outside temperature is 5.49 degrees Celsius.

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1.92%   is the probability .

Describe probability using an example?

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

  P = x/y

Find out the probability that the first student selected will be left-handed

we have

 x = 6

 y = 40

substitute

 P = 6/40

Simplify

P = 3/20

the probability that the second student selected will be left-handed

we have

    x = 6 - 1  = 4

y = 40 -1 = 39

substitute

 P = 5/39

the probability that the 2 students selected will both be left-handed

Multiply the probabilities

   P = 3/20(5/39)  = 15/780

Convert to percentage

Multiply by 100

15/780 * 100 = 1.92%

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The remaining area of the pizza, after one-eighth was eaten, is 175.84 square inches.

To find the remaining area of the pizza, we first need to calculate the total area of the pizza and then subtract the portion that was eaten.

The formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius. In this case, we have the diameter of the pizza, which is 16 inches. The radius is half the diameter, so the radius would be 8 inches.

Using the formula, we can calculate the total area of the pizza:

A = 3.14 * (8^2)

A = 3.14 * 64

A = 200.96 square inches

Now, if one-eighth of the pizza was eaten, we need to calculate the portion that was consumed. To do this, we divide the total area by 8:

Portion eaten = 200.96 / 8

Portion eaten = 25.12 square inches

To find the remaining area, we subtract the portion eaten from the total area:

Remaining area = Total area - Portion eaten

Remaining area = 200.96 - 25.12

Remaining area = 175.84 square inches

Therefore, there are 175.84 square inches of pizza remaining.

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Answer:

Answer for this is option a.

Answer:

They can march in equal rows

Step-by-step explanation:

We can rephrase the question into is 80 divisible by x

In the three cases, it is possible

80/2 = 40

80/5 = 16

80/10 = 8

Note: The number must be a whole number

Answer:

0.67

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

y=10

The improper integral ∫ 1/x dx from 0 to ∞ is divergent. The improper integral ∫ 1/x dx from 0 to ∞ represents the integral of the function 1/x with respect to x over the interval from 0 to positive infinity.

To determine whether this integral is convergent or divergent, we need to evaluate it.

Let's split the integral into two parts: from 0 to 1 and from 1 to ∞.

∫(0 to 1) 1/x dx

This part of the integral is a finite integral, and it can be evaluated as:

∫(0 to 1) 1/x dx = [ln|x|] (0 to 1) = ln(1) - ln(0)

However, ln(0) is undefined, so this part of the integral does not converge.

Now let's evaluate the second part of the integral:

∫(1 to ∞) 1/x dx

This integral represents the area under the curve of the function 1/x from 1 to ∞. This is a well-known integral and is known to diverge. As x approaches infinity, the value of 1/x approaches 0, but it never reaches 0. Therefore, the area under the curve keeps increasing indefinitely, and the integral diverges.

Since either part of the integral diverges, the overall integral ∫ 1/x dx from 0 to ∞ is divergent.

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In a study conducted for Rijiswaterstaat of the Netherlands (reference A8), an important lesson was learned from model validation.

In the referenced study conducted for Rijkswaterstaat of the Netherlands, model validation likely played a crucial role in assessing the accuracy and reliability of the implemented models. Model validation involves comparing the model's predictions or outputs with real-world data or observations to determine its effectiveness.

An important lesson that could have been gained from model validation in this study is the significance of ensuring that the model adequately represents the real system or phenomenon being studied. The validation process may have revealed any discrepancies or limitations in the model's performance, highlighting areas where improvements or adjustments were needed.

This lesson underscores the importance of rigorous validation procedures to enhance the model's accuracy and provide more reliable results. It also emphasizes the need for continuous evaluation and refinement of models to ensure they align with real-world conditions, enabling better decision-making and planning in the context of Rijkswaterstaat's activities.


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The proportion of all U.S. adolescents ages 10-14 who started smoking because of seeing actors smoke in movies by constructing a 95% confidence interval is (0.368, 0.392). So, the correct option is A).

Proportion of all U.S. adolescents aged 10-14 who started smoking due to seeing actors smoke in movies by constructing a 95% confidence interval.

The sample size of the study is 6,522, and of those who subsequently tried smoking for the first time, 38% did so because of exposure to smoking in the movies.

To construct a confidence interval, we need to use the sample proportion of 0.38 and calculate the standard error of the proportion:

SE = sqrt[(p*(1-p))/n]

SE = sqrt[(0.38*(1-0.38))/6522]

SE = 0.007

Next, we can use a z-score of 1.96 for a 95% confidence interval and plug in the values:

CI = p +/- zSE

CI = 0.38 +/- 1.960.007

CI = (0.366, 0.394)

Therefore, the 95% confidence interval for the proportion of all U.S. adolescents aged 10-14 who started smoking is (0.366, 0.394). So, the correct answer is A).

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_____The given question is incomplete, the complete question is given below:

Learn By Doing Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in movies and smoking initiation among adolescents. In the study, 6,522 U.S. adolescents ages 10-14 who had never tried smoking were randomly selected. Of those who subsequently tried smoking for the first time, 38% did so because of exposure to smoking in the movies. ? Learn By Doing A Hint 1 Hint 2 Hint 3 Estimate the proportion of all U.S. adolescents ages 10-14 who started smoking because of seeing actors smoke in movies by constructing a 95% confidence interval. (0.368, 0.392) (0.266, 0.494) (0.38, 0.543).

Answer:

  9x +y = 12

Step-by-step explanation:

You want the standard form equation for the line with slope -9 through the point (2, -6).

The point-slope form equation is a good place to start when given a point and a slope. That equation is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -(-6) = -9(x -2) . . . . line with slope -9 through point (2, -6)

This can be rearranged to the desired form:

  y +6 = -9x +18 . . . . . . eliminate parentheses

  9x +y = 12 . . . . . . . . add 9x -6

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series.  Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.

The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.

In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.

By solving this equation, we find that n = 23, and the last term l = 199.

Substituting the values into the formula for the partial sum, we have:

S₂₃ = (23/2)(1 + 199),

= 23 * 200,

= 4600.

However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.

The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.

Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.

Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

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Equation of the plane that contains the line x = 3 + t, y = 4 − t, z = 3 − 3t and is parallel to the plane 5x+2y+z=2 is 15x+10y+12z-60=0.

Given line equation: x = 3 + t, y = 4 − t, z = 3 − 3t

Equation of the plane: 5x + 2y + z = 2

The normal vector of the given plane = i + 2j + k

Since the plane is parallel to the given plane, the normal vectors of both the planes will be parallel i.e. dot product of both the normal vectors will be zero.

Normal vector of the plane containing the line = vector parallel to the line i.e.

              <1, -1, -3>.So, (i + 2j + k).(1i - 1j - 3k)

                = 0=> i + 2j + k - i + j + 3k = 0

             => 3j + 4k = 0

                => j = -4/3 k

The direction ratios of the line and the normal vector of the plane containing the line are known.

Thus, the direction ratios of the normal to the plane containing the line = 1, -1, -3

Hence, the equation of the plane containing the given line and parallel to the given plane can be found as follows:

                                   x - 3   y - 4   z - 3  = λ(1)             ...(1)

                        -1(5x + 2y + z - 2 = 0) = -5x - 2y - z + 2 = 0   ...(2)

Equating the normal vectors of the two planes, we get:

                                    5i + 2j + k = λ(1i - 1j - 3k)5i + 2j + k - λi + λj + λ3k = 0

Comparing the coefficients, we get:  5 - λ = 1        ...(3)

                                                             2 + λ = -1      ...(4)

                                                     1 + 3λ = -1    ...(5)

From equation (3), λ = 4.

Putting this value in equations (4) and (5), we get:

                                             λ = 4 = -3λ = -5

Substituting these values of λ in equation (1), we get:

                                            15x + 10y + 12z - 60 = 0

The equation of the plane containing the given line and parallel to the given plane is 15x + 10y + 12z - 60 = 0.

Equation of the plane that contains the line x = 3 + t, y = 4 − t, z = 3 − 3t and is parallel to the plane 5x+2y+z=2 is 15x+10y+12z-60=0.

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Answer:

I guess 09.222....

Step-by-step explanation:

The probability that the sample mean is between 43 and 52 minutes is

0.9098 or 91%

To unravel this issue, we got to utilize the central restrain hypothesis, which states that the test cruel of an expansive test estimate (n>30) from any populace with a limited cruel and standard deviation will be roughly regularly dispersed.

Given the cruel and standard deviation of the populace, able to calculate the standard blunder of the cruel utilizing the equation:

standard mistake = standard deviation / √(sample estimate)

In this case, the standard error is:

standard blunder = 11 / √(25) = 2.2

Another, we ought to standardize the test cruel utilizing the z-score equation:

z = (test cruel - populace cruel(mean)) / standard mistake

For the lower restrain of 43 minutes:

z = (43 - 46) / 2.2 = -1.36

For the upper restrain of 52 minutes:

z = (52 - 46) / 2.2 = 2.73

Presently, ready to utilize a standard ordinary conveyance table or a calculator to discover the probabilities comparing to these z-scores.

The likelihood of getting a z-score less than -1.36 is 0.0869, and the likelihood of getting a z-score less than 2.73 is 0.9967.

Hence, the likelihood of the test cruel being between 43 and 52 minutes is:

0.9967 - 0.0869 = 0.9098 or approximately 91D

44 In conclusion, the likelihood that the test cruel is between 43 and 52 minutes is around 91%, expecting typical dissemination and a test measure of 25. 

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Answer:

3

Step-by-step explanation:

72/4=18 18-3=15 15/5=3

If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.

Let's break down the problem step by step to find the number.

First, we start with a variable to represent the unknown number. Let's call it "x".

The problem states that "3 added to five times a number," which can be expressed as 5x + 3.

Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).

Finally, the problem states that "the final result is 72," so we set the equation equal to 72:

4(5x + 3) = 72

To solve for x, we simplify the equation:

20x + 12 = 72

Next, we subtract 12 from both sides:

20x = 60

Finally, we divide both sides by 20:

x = 3

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