The distance people travel to work on a typical day - The horizontal axis is the distance traveled in a person's daily commute. The vertical axis is the frequency (number of people with that distance for their daily commute). The shape of distribution: uniform symmetric skewed left skewed right

Answer:

A and C are correct. D may be correct too.

Answer:

The correct answers are A, C and F

Step-by-step explanation:

Answer:

848.23

Step-by-step explanation:

hope this got you the right anwser

Answer:

The grpah should help!

Answer:

See attached for graph of the given function.

Step-by-step explanation:

Vertex form of a quadratic function

\(f(x)=a(x-h)^2+k\)

where:

Given function:

\(g(x)=-\dfrac{1}{5}(x+5)^2-2\)

Vertex

Comparing the given function with the vertex formula:

\(\implies h=-5\)

\(\implies k=-2\)

Therefore, the vertex of the parabola is (-5, -2).

As a<0, the parabola opens downwards.  Therefore, the vertex is the maximum point of the curve.

Axis of symmetry

The axis of symmetry is the x-value of the vertex.

Therefore, the axis of symmetry is x = -5.

y-intercept

To find the y-intercept, substitute x = 0 into the given function:

\(\implies f(0)=-\dfrac{1}{5}(0+5)^2-2=-7\)

Therefore, the y-intercept is (0, -7).

x-intercepts

To find the x-intercepts, set the function to zero and solve for x:

\(\implies -\dfrac{1}{5}(x+5)^2-2=0\)

\(\implies -\dfrac{1}{5}(x+5)^2=2\)

\(\implies (x+5)^2=-10\)

As we cannot square root a negative number, the curve does not intercept the x-axis.

Additional points on the curve

As the axis of symmetry is x = -5 and the y-intercept is (0, -7), this means that substituting values of x in multiples of 5 either side of the axis of symmetry will yield integers:

\(\implies f(-10)=-\dfrac{1}{5}(-10+5)^2-2=-7\)

\(\implies f(5)=-\dfrac{1}{5}(5+5)^2-2=-22\)

\(\implies f(-15)=-\dfrac{1}{5}(-15+5)^2-2=-22\)

Therefore, plot:

Draw a smooth curve through the points, using the axis of symmetry to ensure the parabola is symmetrical.

The number of quarters that Steve has is 21.

The number of dimes that Steve has is 32.

The first step is to form a pair of linear equations using the information in the question:

d + q = 53 equation 1

0.1d + 0.25q = 8.45  equation 2

Where:

The system of equations would be solved using the elimination method: Multiply equation 1 by 0.1 :

0.1d + 0.1q = 5.3 equation 3

Subtract equation 3 from equation 2:

0.15q = 3.15

Divide both sides of the equation by 0.15:

q = 3.15 / 0.15

q = 21

In order to determine the value of d, substitute for q in equation 1:

21 + d = 53

d = 53 - 21

d = 32

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The output of each function include the following:

u'(1) = 0.

v'(5) = -2/3

By critically observing the graph of the functions f and g, we can logically deduce the following parameters;

f(1) = 2         f(5) = 3

g(1) = 1         g(5) = 2

f'(1) = 2         f'(5) = -1/3

g'(1) = -1        g'(5) = 2/3

Next, we would take the first derivative of u with respect to x and then, substitute the x-value into the composite function, and then evaluate as follows;

u(x) = f(x)g(x)

u'(x) = f'(x)g(x) + g'(x)f(x)

u'(1) = f'(1)g(1) + g'(1)f(1)

u'(1) = 2(1) + (-1)2

u'(1) = 2 - 2

u'(1) = 0.

For v'(5), we have the following function by applying quotient rule:

\(v'(x) = \frac{f'(x)g(x)\;-\;f(x)g'(x)}{g^2(x)} \\\\v'(5) = \frac{f'(5)g(5)\;-\;f(5)g'(5)}{g^2(5)} \\\\v'(5) = \frac{\frac{-1}{3} \times 2 - (3 \times \frac{2}{3}) }{2^2}\)

v'(5) = -8/3 × 1/4

v'(5) = -2/3

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.

To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:

Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.

Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.

Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.

The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.

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The mean of the given data set is 3.5, the variance is 5.056, and the approximate mean using the grouped data table is 0.428.

The average of a set of values is referred to as the mean. To calculate the mean of a dataset, add up all of the values and divide by the number of values.

We can calculate the mean of the given data set as follows:

Mean = (9 + 6 + 2 + 0 + 2 + 3 + 5 + 2 + 1 + 5)/10

Mean = 3.5

Variance:Variance is a measure of how much a set of data varies. In other words, variance tells us how far each value in the dataset is from the mean. The variance formula is as follows:

σ² = (Σ(x - μ)²) / N

Where σ² is the variance, Σ is the sum, x is each value in the data set, μ is the mean of the data set, and N is the number of values in the data set.

Using the above formula, we can calculate the variance for the given data as follows:

First, we need to calculate the mean of the data set.x f(x)

xf(x)4 1 45 3 15 6 4 24 7 4 28 8 2 16

Total 14 128

Mean (μ) = 128 / 14 = 9.14

σ² = (Σ(x - μ)²) / N

σ² = [1(4 - 9.14)² + 3(5 - 9.14)² + 4(6 - 9.14)² + 4(7 - 9.14)² + 2(8 - 9.14)²] / 14

σ² = 5.056

Approximating the Mean:

We can use the midpoint of each interval as an approximate value for the entire interval. We can calculate the approximate mean as follows:

Mean = Σ(midpoint × proportion of stocks)

Mean = (-0.80 × 0.03) + (-0.40 × 0.03) + (0.00 × 0.2) + (0.40 × 0.44) + (0.80 × 0.16) + (1.20 × 0.06) + (1.60 × 0.05) + (2.00 × 0.03)

Mean = 0.428

Therefore, the mean of the given data set is 3.5, the variance is 5.056, and the approximate mean using the grouped data table is 0.428.

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Answer:  (10) 3.2   (11) option 2   (12) option 4  

               (13) Distributive  (14) Associative

Step-by-step explanation:

10) "Absolute value" makes the number positive.

       - |-4| + |-7.2|

   =  -  4  +  7.2

   =       3.2

11) "Opposite" changes the sign.

    the opposite of   \(-\sqrt{\dfrac{2}{5}}\)     is     \(+\sqrt{\dfrac{2}{5}}\)

12) Reciprocal means "flip" the fraction

     the reciprocal of    \(-\sqrt{\dfrac{2}{5}}\)     is    \(-\sqrt{\dfrac{5}{2}}\)

13) a(b + c) = ab + ac    is the Distributive Property

     \(-\sqrt5(2+X)\)

 =  \(-\sqrt5(2) -\sqrt5(X)\)

 =  \(-2\sqrt5 -X\sqrt5\)

14) a · (b · c) = (a · b) · c     is the Associative Property

    \(20(4\sqrt5)\)

  = \((20\cdot 4)\sqrt5\)

Answer:

Step-by-step explanation:

Multiples of 16:

Multiples of 8:

First multiple of 16 is 16.

Second multiple of 8 is 16.

The LCM of 8 and 16 is 16.

Answer:

no se tu dime xd jajajaajajajajajajajsjaa ahahahahahahahahsidigfue

Answer:

3 digits

Step-by-step explanation:

Hopefully that helps.

Answer:

3 digits

Step-by-step explanation:

Using a calculator, we find √14641 = 121, which has 3 digits.

The conversion of a tangent line from a parametric function to a Cartesian function is based on the fact that the slope of the tangent line remains the same in both representations. This allows us to determine the Cartesian equation of the tangent line using the derivatives of the parametric equations.

When dealing with parametric equations that describe a curve, the tangent line at a specific point can be represented by the derivatives of the parametric equations. The derivatives provide information about the rate of change of the x and y coordinates with respect to a parameter.

To convert the tangent line to a Cartesian function, we consider the relationship between the parametric variables and the Cartesian coordinates. By solving the parametric equations for the parameter and substituting the resulting expressions into the original equations, we can eliminate the parameter and obtain a Cartesian equation.

Using the derivatives of the parametric equations, we can determine the slope of the tangent line. Since the tangent line has the same slope regardless of the representation, we can substitute the x and y values of the parametric equations into the equation y = mx + b, where m is the slope, and solve for the constant term b.

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Given the coordinates above, the area of the trapezoid is approximately 41.

We have,

A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.

For the calculation showing the above solution:

Step 1 - Given:

A = (-3,2)

B = (1, 5)  = ⊥

C = (-7, -3)

D = (0.-2)

Step 2 - To get the distance between the points we need to use the formula for Distance between two points which is given as:

d=√((x2 – x1)² + (y2 – y1)²).

Distance of Line AB =

√((1 – (-3))² + (5 – 2)²).

= √[(4)² + (3)²]

= √( 16 + 9)

= √25

AB= 5

Repeat this for  BC, CD, DA and we'd get the following

BC =  11.313708498985

CD = 7.0710678118655

DA = 5

Step 3  - From the above structure, [see attached] we then apply the formula for the area of a Trapezoid (Trapezium) which is given as:

A = [(a+b)/2] h

Where a = 5

b = 11.313708498985

h = 5

=  [(5+11.313708498985)/2] 5

= 40.7842712475

= 41

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complete question:

What is the area of trapezoid ABCD?

Enter your answer as a decimal or whole number in the box. Do not round at any steps.

units²

Trapezoid A B C D on a coordinate plane with vertex A at negative 3 comma 2, vertex B at 1 comma 5, vertex C at negative 7 comma negative 3, and vertex D at 0 comma negative 2. Angle B is shown to be a right angle.

Answer:

The photo is super blurry I can't see it

Step-by-step explanation:

Answer: A

Step-by-step explanation:

If you follow the arrows, -2 goes to 0,

-1 goes to 0,

0 goes to 6

2 goes to 1,

And 3 goes to 2.

Answer:A:30

Step-by-step explanation:

So we know that the 10% of students at a university wear contacts. This percentage is the proportion of success in the population where a success indicates a student wearing contacts and the total population is made of all the students in the university. In order to make calculations we can write that percentage as fraction by dividing it by 100:

Where I used P to label the proportion described. If we randomly pick a sample of 200 students then the proportion of students in this who wear contacts is a quantity p that not necessarily is equal to P. However, its standard deviation does depends on the value of P. Using the letter sigma for the standard deviation of this sample this is given by the following formula:

Where n is the sample size, in this case 200, and Q is the proportion of students at the university that don't wear contacts. Since we have only two possible scenarios: a student wears contacts or doesn't, then the sum of Q and P must be equal to 1 (or 100%):

Then the standard deviation is given by:

So the standard deviation as a fraction is 0.0212 but we need to express it as a percentage so we have to multiply it by 100:

Then the answer is 2.12.

Answer:

1) x-1/y-4/xy=-1 Number one, the answer is in picture one.

2) -3/y-12/xy=1 Second, the answer is in picture two.

Answer: x = 8.77

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

4²+5² = h²

41 = h²

h = √41

Therefore two sides of the rectangle will √41

No using pythagoreus theorem in the bigger triangle

6² + (√41)² = x²

x² = 36+41

x² = 77

x = √77

x = 8.7749643874

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 8.77

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Answer:

x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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The question is a Probability problem.

The Probability of an event, E, is given by:

For sentence 1, in the question, we have:

For sentence 2, the new total number of outcomes is 1000.

Thus, we have:

Hence, the number of times that is expected to win the grand prize is 10times

Big O notation focuses on the worst-case scenario analysis, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

Imagine that you're a teacher with a student named Ram. You want to find his records, so you use a simple search algorithm to go through your school district's database.

You know that a simple search takes O(n) times to run. This means in the worst case, you'll have to search through every single record to find Ram

After a simple search, you find that Ram records are the very first entry in the database. You don't have to look at every entry.

Did this algorithm take O(n) time Or did it take O(1) time because you found Ram records on the first try?

In this case, 0(1) is the best-case scenario – you were lucky that Ram records were at the top. But Big O notation focuses on the worst-case scenario, which is 0(n) for a simple search. It’s a reassurance that a simple search will never be slower than O(n) time.

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There are 27,405 different ways according to the combinations formula ,presenter can select 4 people out of 30.

What is combinations?

Combinations, in mathematics, refer to the selection of items from a larger set without considering their order.

To determine the number of different ways the presenter can select 4 people out of 30, we can use the concept of combinations. Specifically, we can calculate the number of combinations of 30 items taken 4 at a time, denoted as "30 choose 4" or "C(30, 4)".

The formula for combinations is:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items and r is the number of items to be selected.

Using this formula, we can calculate the number of different ways:

C(30, 4) = 30! / (4!(30 - 4)!) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1) = 27,405

Therefore, there are 27,405 different ways the presenter can select 4 people out of 30.

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The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.

When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.

Since no image is specified, we will work on the image attached below.

We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.

Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.

Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.

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The partial derivatives of the original function f(x,y) = 6x3 − 9xy3 with respect to x and y can be found by taking the derivative of the original function with respect to one variable while holding the other variable constant.

The original function is given as f(x,y) = 6x3 − 9xy3. The partial derivatives with respect to x and y can be found by taking the derivative of the original function with respect to one variable while holding the other variable constant.

The partial derivative with respect to x is found by taking the derivative of the original function with respect to x while holding y constant:

∂f/∂x = 18x2 - 9y3

The partial derivative with respect to y is found by taking the derivative of the original function with respect to y while holding x constant:

∂f/∂y = -27xy2

Therefore, the partial derivatives of the original function f(x,y) = 6x3 − 9xy3 with respect to x and y are ∂f/∂x = 18x2 - 9y3 and ∂f/∂y = -27xy2, respectively.

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The surface area of the actual ramp, including the underside, is approximately 15.38 yd².

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To find the surface area of the actual ramp, we need to first find the dimensions of the ramp.

We are given that the scale model of the ramp is a right triangular prism with legs of 8 in, 5 in, and 5 in, and a height of 3 in. We can use these dimensions to find the dimensions of the actual ramp.

Since the ramp is a scale model, the ratio of the dimensions of the model to the actual ramp is the same for all corresponding dimensions. The height of the triangular base in the actual ramp is given as 0.6 yards, which is equal to 21.6 inches. So, we have:

height of actual ramp / height of model = 21.6 in / 3 in = 7.2

We can use this ratio to find the dimensions of the actual ramp:

height of actual ramp = 7.2 * 3 in = 21.6 in

length of actual ramp = 7.2 * 8 in = 57.6 in

width of actual ramp = 7.2 * 5 in = 36 in

Now we can find the surface area of the actual ramp. The surface area of the top and bottom of the ramp is the area of the triangular base plus the area of the rectangle formed by the length and width of the ramp:

Area of triangular base = (1/2) * base * height = (1/2) * 5 in * 5 in = 12.5 in²

Area of rectangular top and bottom = length * width = 57.6 in * 36 in = 2073.6 in²

Total surface area of top and bottom = 2 * (Area of triangular base + Area of rectangular top and bottom) = 2 * (12.5 in² + 2073.6 in²) = 4153.2 in²

The surface area of the sides of the ramp is the area of the three rectangles formed by the height and width of the ramp:

Area of one side rectangle = height * width = 21.6 in * 36 in = 777.6 in²

Total surface area of sides = 3 * Area of one side rectangle = 3 * 777.6 in² = 2332.8 in²

Finally, we add the surface area of the top and bottom to the surface area of the sides to get the total surface area of the ramp:

Total surface area of ramp = Surface area of top and bottom + Surface area of sides = 4153.2 in² + 2332.8 in² = 6486 in²

Converting to yards and rounding to two decimal places, we get:

Total surface area of ramp = 6486 in² / (36 in/yd)² = 15.38 yd² (rounded to two decimal places)

Therefore, the surface area of the actual ramp, including the underside, is approximately 15.38 yd².

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