Estimate the area under the graph of f(x)=1x+1 over the interval [2,6] using five approximating rectangles and right endpoints.
Rn=
Repeat the approximation using left endpoints.
Ln=
Report answers accurate to 4 places. Remember not to round too early in your calculations.

To find out how many pages Van fills with his new baseball cards, we need to divide the total number of cards by the number of cards that fit on each page.

He has 45 baseball cards and each page holds 9 cards.

So, we can divide 45 by 9.

45 / 9 = 5

Therefore, Van fills 5 pages with his new baseball cards.

It's worth noting that this method gives the number of full pages that are filled and if there are any remaining cards, we have to add one more page for the remaining cards.

If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be 0.9.

Confidence level:

Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.

For example,

A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.

Confidence Coefficient:

Confidence coefficient states the confidence level stated as a proportion, rather than as a percentage.

For example, if you had a confidence level of 99%, the confidence coefficient would be .99.

Given,

Here we know that the confidence level is 90%, now we have to find the confidence coefficient of it.

Based on the definition,

The confidence coefficient for 90% confidence level is 0.9.

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The answer is the first option

A data analyst who wants to create a visualization that demonstrates how often data values fall into certain ranges should use option A: histogram.

The distribution of a continuous variable is depicted by a histogram, a form of bar graph, by splitting the data into intervals, or bins, and charting the number of observations that fall within each bin. The range of values being measured are shown on the x-axis as intervals or bins, and the frequency or count of observations inside each bin is shown on the y-axis.

When presenting a distribution's shape, such as whether it is symmetrical or skewed, and when locating outliers or data gaps, histograms are especially helpful. They are frequently used to analyze and show data in disciplines including statistics, data science, and quality control.

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Correct question:

a data analyst wants to create a visualization that demonstrates how often data values fall into certain ranges. what type of data visualization should they use?

histogram

line graph

correlation charts

catter plot

The probability the selected dog is medium and brown by Sarah is 6/49.

Probability = favourable outcome/ total outcome

The table for the given question is attached.

Total dogs owned by Sarah = 7.

Total medium sized dogs = 2.

Total brown coloured dogs = 3

Probability( medium sized ) = 2/7

Probability( brown coloured ) = 3/7

Probability( medium sized and brown coloured ) = (2/7)×(3/7)

Probability( medium sized and brown coloured ) = 6/49

Thus, the probability the selected dog is medium and brown is 6/49.

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the probability that Meena will win  = 8/9

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.

Meena must triumph in the subsequent turn or the one after it in order to win; else, she loses. The likelihood of that is determined by deducting the likelihood of the complimentary event, Bob winning in the following two turns, from one. The likelihood of Bob winning the following two turns may be calculated by taking the square of the probability of him winning on one turn because each turn is independent of the others; hence, it is

= (1/3)^2

= 1/9

the probability that Meena will win = 1- 1/9

                                                           = 8/9

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Answer:

L bozo

Step-by-step explanation:

ur whole life is an L

Answer:

First, we know that he spent rs500 plus rs60 in the whole process, then the total cost is:

C = rs500 + rs60 = rs560

Now he sells the oranges in packs of 12, then if he has 120 oranges, the total number of packs that he can sell is:

120/12 = 10

So he has 10 packs of 12 oranges.

And he sells each one for rs58.8

Then if he sells the 10 packs, the total revenue is:

R = 10*(rs58.8) = rs588

The profit is the difference between the revenue and the cost, here the profit is:

P = R - C = rs588 - rs560 = rs28

And the profit percentage is calculated as follows:

(P/C)*100%

Where P = profit and C = cost, then we have:

(rs28/rs560)*100% = 5%

The effect of educational attainment on the time spent sleeping per week is examined using the simple regression model sleep = β0 + β1educ + u. The sample mean and standard deviation of sleep and educ can be calculated using the data in PS2 Q4.dta.

To find the sample mean of sleep and educ, sum up all the values of sleep and educ respectively and divide by the total number of observations.

The standard deviation can be calculated by taking the square root of the variance, where the variance is the average of the squared deviations from the mean.

These calculations provide measures of central tendency and dispersion for the variables sleep and educ.

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Answer:

1.D 2.C 3.A 4.B

Step-by-step explanation:

hope this helped

Answer:

2

Step-by-step explanation:

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = 4x + 3

The graph of the line crosses the y-axis when x = 0.

This is called the y-intercept.

There are two ways to get the y-intercept point.

From the definition of the equation of a line in slope intercept form we have,

y = mx + c

Where c is the y-intercept.

y = 4x + 3

So,

c = 3

We can also find the y-intercept when x = 0.

y = 4x + 3

y = 4 x 0 + 3

y = 3

Thus,

The point at which the graph of the line y = 4x + 3 crosses the y-axis is 3.

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The percent rate of return on the stock in year five is -2.4 percent calculated by subtracting the sum of the returns for the first four years from the arithmetic average return over the past five years.

To find the percent rate of return on the stock in year five, we need to subtract the sum of the returns for the first four years from the arithmetic average return over the past five years.The arithmetic average return over the past five years is given as 8.6 percent. To calculate the sum of the returns for the first four years, we add the returns for each year:

16 + 11 - 19 + 3 = 11 percent.

Next, we subtract the sum of the returns for the first four years (11 percent) from the arithmetic average return (8.6 percent) to find the return percentage for the fifth year:

8.6 percent - 11 percent = -2.4 percent.

Therefore, the percent rate of return on the stock in year five is -2.4 percent. This negative value indicates a loss or decline in the stock's value during that year.

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The component form of the vector that translates A to A' is (11, -17)

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

In translation, the shape of the figure does not change but its size may change.

Other transformation processes are reflection and rotation.

The component form of the vector is governed by the rule; A' - A

so we subtract corresponding x- coordinates and corresponding y- coordinates

A' - A = (7, -9) - (-4, 8)

       = ( 7 - - 4, -9 - 8)

       -= ( 11, -17)

In conclusion, the vector that translates A to A' is ( 11, -17 )

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The solution of the system of equation is (5, 8).

We want to find the ordered pair that is a solution of both equations:

3y + x = 29

y = -4x + 28

So we have a system of equations.

To do so, we can use the substitution method and replace the second equation into the first one.

3*(-4x + 28) + x = 29

Now we can solve this for x, we will get:

3*(-4x + 28) + x = 29

-12x + 84 + x = 29

-11x = 29 - 84

-11x = -55

x = 55/11 = 5

And the y-value is given by evaluating one of the two equations in x = 5.

y = -4*5 + 28

y = 8

The solution is (5, 8).

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thank you love <3 greatly appreciated.

Answer:

3(x+7) --> 3x+21

5(2x+7) --> 10x+35

Step-by-step explanation:

For each one you take the number in front of the parenthesis and multiply it to each number or variable in the parenthesis.

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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The correct answer is results of the memory test.

Given that,

Dr. Huang asked the healthy volunteers in a group to read a chapter for an hour. The other half of the attendees spent 15 minutes studying. Dr. Huang next asked participants to recall specifics from the paragraph in a test.

To find :what was the dependent variable ?

It is something on which other elements depend. The test score for a instance, may be the dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were.

Therefore, the correct answer is results of the memory test.

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The actual depth of the fish is approximately 2.35 meters.

The equation that relates the apparent depth (d₀), the actual depth (d₁), the refractive index of water (n₀), and the refractive index of air (n₁) is as follows:

d₀ = d₁ * (n₀ / n₁)

In this case, we are given the apparent depth of the fish as 3.13 meters. The refractive index of air is approximately 1 , and the refractive index of water is around 1.33.

Using the equation, we can rearrange it to solve for the actual depth:

d₁ = d₀ * (n₁ / n₀)

Substituting the given values, we have:

d₁ = 3.13 * (1 / 1.33)

Calculating this expression, we find:

d₁ ≈ 2.35 meters

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The number of buckets of fish that the sea otters fed each day is  7/6 buckets .

In the question ,

it is given that ,

the number of buckets of fish that the dolphin are fed at the Washington aquarium = 1/2 bucket

the sea otters are fed \(2\frac{1}{3}\) times as many as fish .

So , the number of buckets that are fed to otters is = (7/3) × (number of buckets eaten by fish)

Substituting the values of number of buckets eaten by fish ,

we get

= (7/3) × (1/2)

Simplifying further ,

we get ,

= 7/6 buckets .

Therefore , the sea otters are fed 7/6 buckets of fish each day .

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Step-by-step explanation:

3/6 is the answer to your question

Answer:

40%

Step-by-step explanation:

Discount = 40%

10% = 0.245

40% = 0.98

$2.45 - $0.98 = $1.47

Answer: cos^2 (t)

Step-by-step explanation:

1/2[1-sin2t] is the simplified form of cos(t)cos(t) to a single trig function or constant with no fractions.

To simplify cos(t)cos(t) to a single trig function or constant with no fractions, we have to use the identity cos2θ=1/2[1+cos(2θ)] that gives the square of the cosine function.

Let's substitute θ=t in the above identity to get cos2t=1/2[1+cos(2t)]

We want to simplify cos(t)cos(t) to a single trig function or constant with no fractions. Cosine function squared

i.e. cos2t can be written as (cos t)2: (cos t)2 = 1/2[1+cos(2t)]

Now, let's replace the 2cos(t)2cos(t) with (cos t)2:2cos(t)2cos(t) = 2(cos t)2= 2/2[1+cos(2t)]

Using the identity sin2θ=1/2[1-cos(2θ)] and substituting θ=t in the above identity we get: sin2t=1/2[1-cos(2t)]2(cos t)2 = 1/2[1-sin2t]

So, cos(t)cos(t) can be written as:cos(t)cos(t) = 1/2[1-sin2t]

Hence, the simplified form of cos(t)cos(t) to a single trig function or constant with no fractions is:cos(t)cos(t) = 1/2[1-sin2t] Answer: 1/2[1-sin2t]

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Answer:

2

Step-by-step explanation:

The median of a data set is the middle value when the data is arranged in order of size.

The given table of data is:

\(\begin{array}{|c|c|c|c|}\cline{1-4}\vphantom{\dfrac12}\frac{3}{4}&3&1&8\\\cline{1-4}\vphantom{\dfrac12}5&\frac{1}{4}&\frac{3}{5}&\frac{7}{2}\\\cline{1-4}\end{array}\)

Arrange the data in order of size:

\(\dfrac{1}{4},\;\dfrac{3}{5},\;\dfrac{3}{4},\;1,\;3,\;\dfrac{7}{2},\;5,\;8\)

As there are 8 data values, the median is the average of the two middle values.

The two middle values are 1 and 3.

The average of 1 and 3 is 2:  

\(\dfrac{1+3}{2}=\dfrac{4}{2}=2\)

Therefore, the median of the given data is 2.

Answer:

84 is the area

Step-by-step explanation:

the form of a right rectangular prism, which means it has a rectangular base and all its sides are perpendicular to each other. the height of the water tank is approximately  \(1.5\) feet when rounded to the nearest tenth.

The volume of a right rectangular prism is given by the formula:

Volume = Length x Width x Height

We know that the tank can hold 136 cubic feet of water when it is full, and we are given the values of the length and width of the tank. So, we can solve for the height of the tank as follows:

\(136 = 10.5 \times 9.2 \times\) Height

Dividing both sides by  \((10.5 \times 9.2)\) , we get:

Height \(= \frac{136}{(10.5 \times 9.2)} = 1.526 ft\) (rounded to three decimal places)

Therefore, the height of the water tank is approximately  \(1.5\) feet when rounded to the nearest tenth.

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(1) The significant figure will be 710.

Hence the correct option is (b).

(2) (a) The modulus of A and B are,

| A | = √62

| B | = √30

(b) The value of A + B = 7 i - 2 j + 9 k

(c) The value of A - B = -3 i - 4 j + 5 k

(3) (a) a ⋅ (b × c) is meaningful and result is a scalar.

(b) a × (b ⋅ c) is not meaningful.

(c) a × (b × c) is meaningful and result is a vector.

(d) (a ⋅ b) × c is not meaningful.

(e) (a ⋅ b) × (c ⋅ d) is not meaningful.

(f) (a × b) ⋅ (c × d) is meaningful and result is a scalar.

The not meaningful is because to conduct cross product we need two vectors.

(4) Given lines are parallel because the cross product of the vectors along that lines is zero vector.

(1) Given the multiplication is,

20.6 × 5.5 × 6.27

That gives the result,

20.6 × 5.5 × 6.27 = 710.391

Here significant figure will be 710.

So the correct option is (b).

(2) Given the vectors are,

A = 2 i - 3 j + 7 k

B = 5 i + j + 2 k

(a) The modulus of A and B are,

| A | = √[2² + (-3)² + 7²] = √62

| B | = √[5² + 1² + 2²] = √30

(b) The value of A + B vector is,

A + B = [2 i - 3 j + 7 k] + [5 i + j + 2 k] = 7 i - 2 j + 9 k

(c) The value of A - B vector is,

A - B = [2 i - 3 j + 7 k] - [5 i + j + 2 k] = -3 i - 4 j + 5 k

(3) We know that the cross product gives vector result and dot product gives scalar result.

The statements are,

(a) a ⋅ (b × c) is meaningful and result is a scalar.

(b) a × (b ⋅ c) is not meaningful.

(c) a × (b × c) is meaningful and result is a vector.

(d) (a ⋅ b) × c is not meaningful.

(e) (a ⋅ b) × (c ⋅ d) is not meaningful.

(f) (a × b) ⋅ (c × d) is meaningful and result is a scalar.

The not meaningful is because to conduct cross product we need two vectors.

(4) Here for first line vector is,

A = [(-2) - (-4)] i + [0 - (-6)] j + [(-3) - 1] k = 2 i + 6 j - 4 k

for second line vector is,

B = [5 - 10] i + [3 - 18] j + [14 - 4] k = -5 i - 15 j + 10 k

So now the cross product is,

A × B = \(\left[\begin{array}{ccc}i&j&k\\2&6&-4\\-5&-15&10\end{array}\right]\) = 0 i + 0 j + 0 k

So the cross vector is a zero vector so the initial vectors are parallel to each other.

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Answer:

Option a represents a proportional relationship.

Step-by-step explanation:

A proportional relationship is a relationship where two variables are directly related to one another, meaning that their ratio is always the same. In other words, when one variable changes, the other variable also changes in the same ratio.

In the equation y = 2/3 * x, the value of y is directly proportional to the value of x, meaning that for every change in x, the corresponding change in y will always be 2/3 of that change. This is because the coefficient of x is a constant value, in this case 2/3. Therefore, as x increases or decreases, y will also increase or decrease at the same rate in proportion to x.

Option a represents a direct proportion.

Option b, c, and d are not proportional relationships because they include a constant or an operation like subtraction, addition or negative sign.

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