During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?

Answer:

Step-by-step explanation:

the answer is 18 I think?

Answer:

18

Step-by-step explanation:

6 (legs) x 3 (ants) = 18 legs

It can also be represented as 6+6+6 (18)

hope this helps :)

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The median would best describe the centre of the distribution for a highly skewed right histogram of US household income.  The correct option is A.

The median is the value that separates the distribution into two equal parts and is less influenced by extreme values than the mean.

Since a highly skewed right distribution has a long tail on the right side, the mean is likely to be pulled towards that tail, making it an unreliable measure of the centre.

The mode, or most frequently occurring value, may not be useful for describing the centre of a skewed distribution. The variance is a measure of the spread or dispersion of the data, not its centre.

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Answer:

The place value of 7 is Hundredth .

Answer:

Mean Absolute Deviation: 4

Step-by-step explanation:

A mean absolute deviation is measured how much the values in the data set are likely to differ from the mean.

The simulation suggests that the chef's estimation of 30% broccoli soup orders is reasonable, but actual orders will vary from one set of customers to the next.

The chef's estimation of 30% broccoli soup orders seems reasonable based on the probabilities given, but the actual number of broccoli soup orders will likely vary from one set of 10 customers to the next. To estimate the accuracy of the chef's estimation, she conducts a simulation by shuffling cards representing the soup choices and randomly selecting one for each of the 10 customers. She repeats this process five times.

Based on the simulation results, we can see that the actual number of broccoli soup orders varies quite a bit from the expected value of 1.5. However, this is to be expected due to the random nature of the simulation.

To further estimate the accuracy of the chef's estimation, we could calculate the mean and standard deviation of the results to get a better sense of the distribution of possible outcomes.

Overall, the simulation suggests that the chef's estimation of 30% broccoli soup orders is a reasonable estimate, but the actual number of broccoli soup orders will likely vary from one set of 10 customers to the next.

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Answer:

Below.

Step-by-step explanation:

The value of r + x is always irrational.

The value of r. s is sometimes irrational:

- for example √2 * √3 = √6 which is irrational,

but √3 * √3 = √9 = 3 which is rational.

we are allowed to change the vertical axis on a line chart.

suppose we have a large range of value needed to plot along the vertical and horizontal axis, but the current line chart cannot meet this demand. in such cases, we can customize the scales to provide more vertical and horizontal spaces.

dramatic slopes are the steep slopes of a straight line calculated by vertical and horizontal coordinate of two points laying on it. By changing the vertical axis as well as the horizontal axis we can plot a graph of a straight line more properly and finally more dramatic slope is visible there.

hence, we can change the scale values on a line chart to meet the requirement of the plot.

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Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

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

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

Step-by-step explanation:

Divide 400 by 48 people who wants to live in a city.

400 / 48 = .12 is 12%

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

195

Step-by-step explanation:

the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

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Answer:

0.9888

Step-by-step explanation:

unit circle means the radius = 1

sin function is opposite/hypotenese = 0.9888/1 = 0.9888

The first five terms of the given sequence are:

C: 18, 30, 42, 54, 66

The formula for the nth term of an arithmetic sequence is expressed as:

aₙ = a + (n - 1)d

where:

a is first term

d is common difference

n is number of term

The formula for the sequence is 12x + 6. Thus:

First term = 12(1) + 6 = 18

Second term = 12(2) + 6 = 30

Third term = 12(3) + 6 = 42

Fourth term = 12(4) + 6 = 54

Fifth term = 12(5) + 6 = 66

Thus, the sequence is : 18, 30, 42, 54, 66

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The distance from rock to tree is approximate 99.48 m.

The bearing in navigatiοn refers tο the path between twο pοints, calculated in clοckwise rοtatiοns arοund nοrth. It is frequently emplοyed tο indicate the directiοn οf travel between twο places οr the οrientatiοn οf a landmark with respect tο a ship οr aircraft.

The azimuth, which is the angle between a reference directiοn (οften nοrth) and the directiοn tο an οbject οr pοint, is distinct frοm the bearing.

A. check the attachment given.

B. Let the distance from rock to tree be = H meter

Now, \($ \rm \frac{Sin(056^{\circ})}{1} = \frac{H}{120}\)

H =  Sin(056°) × 120

H = 99.48 m

Thus, The distance from rock to tree is  99.48 m.

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The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

From the question, we have the following parameters that can be used in our computation:

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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Answer:

Step-by-step explanation:

The sum of 8 and t ⇒ 8 + t

Answer:

6x-23+3m

6x+3m-27 we can't add them b/c they have d/t

variables so the answer is 6x+3m-27

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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The division of the value 3/8 given the remainder as 0 and the quotient as 0.375. Hence, the answer is correct.

Long division uses the conventional process to divide two integers by iteratively adding and subtracting. When the divisor is a multi-digit number, it is used in mathematics to determine the quotient and remainder of a division problem.

As part of the long division algorithm, the dividend is divided by the first digit of the divisor, the quotient is multiplied by the divisor, the result is subtracted from the dividend, and the procedure is then repeated with the next digit of the dividend.

The division of 3/8 can be given as follows:

0.375 | 3.000

      2.5

       ---

      0.50

        4

       ---

        20

        16

        ---

         40

         40

         ---

          0

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The probability that the mean fill is more than 84.8 ounces is 0.39358

From the question, the given parameters about the normal distribution are

Mean value of the set of data = 88.2

Standard deviation value of the set of data = 1.3

The actual data value = 88.2

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (88.2 - 87.9)/1.3

Evaluate the difference of 88.2 and 87.9

z = 0.3/1.3

Evaluate the quotient of 0.3 and 1.1

z = 0.23

The probability that the mean fill is more than 88.2 ounces is then calculated as:

P(x > 88.2) = P(z > 0.23)

From the z table of probabilities, we have;

P(x > 88.2) = 0.5910

Hence, the probability that the mean fill is more than 84.8 ounces is 0.5910

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Answer:

\(3 * f(-8) - 3 * g(-2) = 6\)

Step-by-step explanation:

Given

This question has a missing graph (See online)

Required

\(3 * f(-8) - 3 * g(-2)\)

From the graph:

\(f(-8) = -2\)

and

\(g(-2) = -4\)

So, we have:

\(3 * f(-8) - 3 * g(-2) = 3 * -2 -3 * -4\)

\(3 * f(-8) - 3 * g(-2) = 6\)

The end behavior is x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ +∝

From the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that

So, the end behavior is x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ +∝

Also, the function is neither an odd-degree nor an even-degree function,

This is because the function is neither symmetry to the origin nor symmetry to the y-axis

For the number of real zeros, we have

Number of zeros = 3

This is because the function intersects the x-axis 3 times

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Max is correct when he says he saved 15% altogether

Let assume that each item costs $100

With a 10% discount, he would pay $90

With a 20% discount, he would pay $80

The total amount he bought the items with the discount = $90 + $80 = $170

Without the discount, he would have paid = $100 + $100 = $200

Amount saved = $200 - $170 = $30

Percentage savings = \(\frac{30}{200}\) x 100 = 15%

Max saved 15% in total

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

The answer should be 2 1/2

Step-by-step explanation:

Answer:

\( \longmapsto - 3 \frac{3}{8} - \frac{7}{8} \\ = - \frac{27}{8} - \frac{7}{8} \\ = \frac{ (- 27 - 7)}{8} \\ = \frac{( - 34)}{8} \\ = \frac{ (- 34) \div 2}{(8) \div 2} \\ = \frac{ - 17}{4} \\ = \boxed{ - 4 \frac{1}{4} }✓\)