Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.

Answer:

We have linear equation

27x=9x-427x=9x−4

Start by subtracting term 9x9x from both sides to get

18x=-418x=−4

Then divide both sides of the equality by 1818 to obtain

x=-\dfrac{4}{18}x=−

18

4

Then simplify the result

x=-\dfrac{2}{9}x=−

9

2

So the answer is -\dfrac{2}{9}−

9

2

.

Hope this helps.

Answer:

lol 50%

Step-by-step explanation:

hope this helps.

Answer:

50%

Step-by-step explanation:

=™=®=™™÷™=™{ k jvj cccchch

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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Based on the ratings system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To find the mean rating, the complete code should be trimmed_flavors_df %>% summarize(mean(Rating)).

This code would allow you to see the mean rating of your data by combining the summarize() and mean() functions such that you can display summary statistics.

Because of the "mean()" function, the statistic that will be displayed is the mean rating which in this case would be 3.185933.

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We have that the distance of planet Mercury from the Sun is approximately:

and the distance of Earth from the Sun is:

Answer:

They can be arranged 6 times

Step-by-step explanation:

Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.

The area inside one petal of the given rose is (25/48)π square units.

The polar equation for the given rose is r = 5sin(30°).

We need to find the area inside one petal of the rose, which can be calculated using the formula of integration

A = (1/2) ∫(θ2-θ1) [r(θ)]² dθ

Here, θ1 and θ2 represent the angles that define one petal of the rose. Since we need to find the area inside one petal, we can take θ1 = 0 and θ2 = π/6 (since one petal covers an angle of π/6 radians).

Substituting the given values of r(θ) and the limits of integration, we get

A = (1/2) \(\int\limits^0_{\pi/6}\) [5sin(30°)]² dθ

Simplifying the equation, we get

A = (1/2) \(\int\limits^0_{\pi/6}\)[25sin²(30°)] dθ

A = (1/2)\(\int\limits^0_{\pi/6}\) [25(1/2)²] dθ (as sin(30°) = 1/2)

A = (1/2) \(\int\limits^0_{\pi/6}\)(25/4) dθ

A = (1/2) (25/4)\(\int\limits^0_{\pi/6}\) dθ

A = (1/2) (25/4) (π/6)

A = (25/48) π

Therefore, the area of the given rose is (25/48)π square units.

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Answer:

N/A

Step-by-step explanation:

the question is not in depth could you add a photo

Answer:

C

Step-by-step explanation:

just simplied them

The kinematics equation s = 1/2at² can be used to determine the acceleration in the Second Law Experiment, where acceleration is calculated by measuring the time taken for the cart to move from the start point to the end point.

Let's derive how the equation is used to find the acceleration from this experiment:

Drivation of kinematics equation:

The kinematics equation is derived by integrating the acceleration function twice with respect to time (t).

Acceleration, a = d²s/dt², where s is displacement, and d²s is the second derivative of displacement with respect to time.

taking integral w.r.t time twice:

∫ a dt = ∫ d²s/dt² dt integrating once gives, v = at + C₁ (where C₁ is a constant of integration)

integrating twice gives, s = 1/2at² + C₁t + C₂ (where C₂ is a constant of integration)

Thus, the kinematics equation for an object moving with constant acceleration can be represented by

s = 1/2at² + vit + s₀,

where s is the displacement, a is the acceleration, t is time, vi is initial velocity, and s₀ is initial displacement.

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Answer:

B can make tons more

Step-by-step explanation:

1/9   123456789    (+9)

multiples of 11 11 22 33 44 55 66  77 88 99    (+9)

9+9=18

A=18

B=

213

438

SO MANY MORE

B=more

Answer:

\(x=\sqrt{13}\)

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

\(Hypotenuse = \sqrt{Base^2 + Perpendicular^2}\)

Using all the values above into the formula gives :-

\(x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}\)

Answer:

$84.75 over budget

Step-by-step explanation:

Barts' budget is 285.75

Bills: 240 + 130.50 = $370.50

(subract by his budget)

370.5 - 285.75 = $84.74

:)

Looking at the graph, we have a periodic function, and it's period is equal to 2 units.

The graph also goes from negative infinity to positive infinity in each cycle.

So this is a tangent function. The tangent function is given by:

The curvature of the curve in each cycle changes when y = -1 (and the first curvature after zero occurs at x = 1), so the vertical shift is d = -1 and the horizontal shift is b = -1.

The period is approximately 2 units, so we have:

Now, to find the vertical scaling, let's use the approximate point (1.5, 2):

So our function is:

Answer: 162

Step-by-step explanation:

so you will have to do 62+28+75=162

15 member enjoy both dancing and hiking.

The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.

We have,

Member enjoy dancing, n(D) = 62

Member enjoy hiking, n(H) = 28

Member enjoy dancing or hiking, n(D ∪ H) = 62

Using Conditional probability

n (D ∪ H) = n(D) + n(H) - n (D ∩ H)

75 = 62 + 28 - n (D ∩ H)

75 - 90 = - n (D ∩ H)

n (D ∩ H) = 15

Thus, 15 member enjoy both dancing and hiking.

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The cost of materials for the cheapest container is $184.67.

Suppose the width is x and it is given that the length of its base is twice the width, so the length of the base is 2x.

The base area is 2x².

Since the volume is $12m³

The height has to be 12/ 2x² = 6/ x²

The cost of making such a container is.

cost of base = 2x² × 10

= 20x²

The cost of sides =( 2 × 2x 6/x² + 2 × x × 6 / x²) 6

= (24/x + 12/x )6

= 36/x × 6

216/x

The overall cost is hence the sum of the base and the sides = f(x)

= 20x² + 216/x

To get the minimum,

df(x) / dx = 20x² + 216/x = 0

= 40x - 216/x² = 0

x³ = 216/40

= 54/10

= 27/5

x = 3/∛5

= 3/ 1.70

= 1.76

f(x) = 20(1.76)² + 216/ 1.76

= 61.952 + 122.72

= 184.67

Therefore we get the cost of the materials to be $184.67.

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Answer: 27

Step-by-step explanation:

8^x+1 = 64

8^x+1 = 8²

x+1 =2

x = 2 - 1

x = 1

To Find :

3^2x +1

Substitute the value of x :

3^2(1)+ 1

3^2+1

3^3

27

Answer:

The flow rate in mL/hr for infusing 2 liters of 5% dextrose over 16 hours is 125 mL/hr.

Step-by-step explanation:

We can use the following formula to calculate the flow rate:

Flow rate (mL/hr) = Volume to be infused (mL) / Time of infusion (hr)

First, we need to convert the total volume of 2 liters to mL:

2 liters = 2000 mL

Next, we can plug in the values:

Flow rate = 2000 mL / 16 hours

Flow rate = 125 mL/hr

Therefore, the flow rate in mL/hr for infusing 2 liters of 5% dextrose over 16 hours is 125 mL/hr.

1) The data value that corresponds to the 55th percentile is approximately 502.5.

2) The percentile for a data value of 33 is 30.

To find the data value that corresponds to the 55th percentile, you first need to arrange the data set in ascending order:

1, 7, 17, 24, 25, 32, 33, 36, 46, 51, 54, 58, 59, 60, 60, 64, 67, 67, 70, 74, 95

1) To find the value at the 55th percentile, you can use the formula:

(Percentile / 100) * (N + 1)

where N is the total number of data points in the set.

In this case, N = 20, so:

(55 / 100) * (20 + 1) = 0.55 * 21 ≈ 11.55

The 11.55th value lies between the 11th and 12th data points. To find the value at the 55th percentile, you can take the average of these two data points:

Value at 55th percentile = (51 + 54) / 2 = 52.5

Therefore, the data value that corresponds to the 55th percentile is approximately 52.5.

2) To find the percentile for a data value of 33, you need to determine its position relative to the entire data set.

Counting from the smallest value to the largest, we find that 33 lies between the 7th and 8th data points. So, the 33 value is greater than 6 data points and smaller than 7 data points.

To calculate the percentile, you can use the following formula:

(NumValuesBelow / N) * 100

where NumValuesBelow is the number of values below the given data value, and N is the total number of data points in the set.

In this case:

Percentile = (6 / 20) * 100 = 30

Therefore, the percentile for a data value of 33 is 30.

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Answer:  1.166666... the 6s go on forever

When rounded to say four decimal places, then we'd get 1.1667

We can write that as  \(1.166666\ldots = 1.1\overline{6}\)

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

Explanation:

The quick way to get the answer is to type 7/6 into your calculator, or 7÷6, and you should get 1.1667 approximately. The reality is that the "6"s go on forever. But at some point, we have to round.

When writing \(1.166666\ldots = 1.1\overline{6}\) the horizontal bar tells us which digit goes on forever.

If you want to do this by long division, then check out the work shown below.

Answer:

D (Yes; AB←→ is parallel to CD←→, and AC←→ is parallel to BD←→. The two pairs of parallel lines are perpendicular to each other.)

Step-by-step explanation:

1. Plot the points on a coordinate plane

2. You can eliminate A and B because the points do make a rectangle

3. See that AB is parallel to CD so you can eliminate C

Answer:

Ans is 59

Step-by-step explanation:

46 +51+y=180 (sum of triangle)

y=180-46-51

y=83

now,

83+x+38=180

x=180-83-38

x=59

value of x is 59

Answer:

$552.50

Step-by-step explanation:

650×.15=97.5

650-97.5=552.5

There are two correct statements regarding a 5 by 5 matrix with three eigenvalues, one of which has a three-dimensional eigenspace.

First, there must be at least two linearly independent eigenvectors associated with the eigenvalue that has a three-dimensional eigenspace. Second, the sum of the dimensions of the eigenspaces must be equal to the size of the matrix, which is 5 in this case.

To understand the first statement, recall that the dimension of an eigenspace is equal to the multiplicity of the associated eigenvalue, which is the number of times it appears as a root of the characteristic equation. Since one of the eigenvalues has a three-dimensional eigenspace, its multiplicity must be at least 3. This means there are at least 3 linearly independent eigenvectors associated with this eigenvalue, which is necessary to span a three-dimensional space. However, the sum of the multiplicities of all eigenvalues cannot exceed the size of the matrix, which is 5. Therefore, the remaining two eigenvalues must have a combined multiplicity of 2 at most, which implies that there are at most 2 linearly independent eigenvectors associated with each of them.

To understand the second statement, note that the sum of the dimensions of the eigenspaces is equal to the sum of the multiplicities of all eigenvalues. This follows from the fact that the eigenspaces associated with distinct eigenvalues are linearly independent. Since there are three distinct eigenvalues in this case, the sum of their multiplicities is at most 5, which means the sum of the dimensions of their eigenspaces is also at most 5. Since one of the eigenspaces has dimension 3, the sum of the dimensions of the other two eigenspaces must be at least 2, which means each of them has at least one linearly independent eigenvector.

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Answer:

x=16.5(or 17)

Step-by-step explanation:

2(x)+2(x-4)=58

2x+2x-8=58

4x-8=58

4x=66

x=16.5(if rounded to the nearest whole number will be 17)

ur welcome :)

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The 96% confidence interval for the fraction of the voting population favoring the annexation suit is approximately 0.493 to 0.647.

To find the 96% confidence interval for the fraction of the voting population favoring the suit, we can use the formula for a confidence interval for a proportion.

The formula for a confidence interval for a proportion is given by:

P ± z * √(P(1-P)/n)

where P is the sample proportion, z is the z-score corresponding to the desired confidence level, √ represents the square root, and n is the sample size.

In this case, the sample proportion is P = 114/200 = 0.57 (since 114 out of 200 voters support the suit).

The z-score corresponding to a 96% confidence level can be obtained using a standard normal distribution table or calculator. For a two-tailed test, the z-score is approximately 1.750.

The sample size is n = 200.

Now we can substitute these values into the formula:

P ± z * √(P(1-P)/n)

0.57 ± 1.750 * √((0.57 * (1 - 0.57))/200)

Calculating the values:

√((0.57 * (1 - 0.57))/200) ≈ 0.045

0.57 ± 1.750 * 0.045

Calculating the confidence interval:

Lower bound: 0.57 - 1.750 * 0.045 ≈ 0.493

Upper bound: 0.57 + 1.750 * 0.045 ≈ 0.647

Therefore, the 96% confidence interval for the fraction of the voting population favoring the annexation suit is approximately 0.493 to 0.647.

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Incomplete question:

A random sample of 200 voters is selected and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

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For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64

Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.

Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64

So, an estimate of the true mean is sample mean=\(\bar x\)=7.64

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The complete question is given below:

Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.

Answer: The answer is, A 7.1 units

Step-by-step explanation: