Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error

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Explanation:

Plug in x = 3 to find that f(x) = 3/x outputs f(x) = 1

This shows (x,y) = (3,1) is on the function curve. This means the curve has some portion of it in the upper right quadrant.

This narrows the answer choices between B and D.

Now try x = -3 to find that f(-3) = -1

So (-3,-1) is another point on the curve.

This rules out choice D, and means choice B is the final answer.

Use something like a TI83/84, Desmos, or GeoGebra to verify the answer.

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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The Interquartile Range (IQR) rule is a commonly used quantitative rule to determine univariate outliers and deleting a case may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

The Interquartile Range (IQR) rule is a commonly used method for identifying outliers in a univariate data set. It is calculated as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). Outliers are considered to be any values that fall outside of the range Q1 - 1.5 * IQR to Q3 + 1.5 * IQR. This range encompasses approximately 75% of the data, with outliers being any values that fall outside of this range.

In some cases, deleting a case or participant may be justified if it is a result of a measurement error, data entry error, or if it significantly skews the results.

This decision should be made carefully and only after careful consideration of the implications, as removing data can affect the validity of the results and the conclusions that can be drawn from the analysis. In some cases, it may be better to keep the outlier and consider it a potential error or to conduct further analysis to determine if there is a valid reason for the outlier.

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The function g(x) is g(x) = \((1/6)x^2 - (1/3)x + 1/6.\)

To obtain the function g(x) from f(x) = \(x^2\) with the given transformations, we can apply the following steps:

1. Shift the graph right 1 unit: We subtract 1 from x.

2. Compress the graph horizontally by a factor of 1/6: We multiply x by 6.

Applying these transformations, we get:

g(x) = f(x - 1)

 \(= (x - 1)^2\)

    \(= x^2 - 2x + 1\)

Now, we need to further compress the graph horizontally by a factor of 1/6. This means we multiply x by 1/6:

g(x) = \((1/6)(x^2 - 2x + 1)\)

    = \((1/6)x^2 - (1/3)x + 1/6\)

Therefore, the function g(x) is g(x) =\((1/6)x^2 - (1/3)x + 1/6.\)

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The number of 10-bit strings that begin with "101" can be calculated as follows: there is only one option for the first three bits ("101"), and for each of the remaining 7 bits, there are two options (0 or 1). Therefore, the number of 10-bit strings that begin with "101" is 1 x 2^7 = 128.

Similarly, the number of 10-bit strings that begin with "00" can be calculated as follows: there is only one option for the first two bits ("00"), and for each of the remaining 8 bits, there are two options (0 or 1). Therefore, the number of 10-bit strings that begin with "00" is 1 x 2^8 = 256.

However, we need to be careful not to double count the strings that begin with "10100", so we need to subtract that from our total count. The number of 10-bit strings that begin with "10100" is 1 x 1 x 2^5 = 32.

Therefore, the total number of 10-bit strings that begin with "101" or "00" is 128 + 256 - 32 = 352.

So the correct answer is O 352.

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The required answer is f(x) = ceil(x/3) is a valid function that satisfies the given conditions.

To find a function from the set {1, 2,..., 30} to {1, 2,..., 10} that is a 3-to-1 correspondence, you can use the ceiling function along with division. The ceiling function, denoted by ⌈x⌉, rounds a number up to the nearest integer. Here's the step-by-step explanation:
This ensures that each group of three numbers is assigned the same value in the target set.
1. Define a function f(x) that takes an input from the set {1, 2,..., 30}.
2. Divide the input (x) by 3, so the result is x/3.
3. Apply the ceiling function to the result, so you have ⌈x/3⌉.
4. The output of the function f(x) = ⌈x/3⌉ will be in the set {1, 2,..., 10}.
The division operation is used to group every three numbers together, and the ceiling operation is used to round up the result to the nearest integer.
Now you have a function f(x) = ⌈x/3⌉ that is a 3-to-1 correspondence from the set {1, 2,..., 30} to {1, 2,..., 10}.

The division and ceiling operations ensure that each element in the range set {1, 2,..., 10} corresponds to exactly three elements in the domain set {1, 2,..., 30}.

Therefore, f(x) = ceil(x/3) is a valid function that satisfies the given conditions.

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There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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19.3

i think its either 19.3 or 19.36

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Complete Question:

The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.

According to the plot, which value is the best estimate of the correlation coefficient of the data?

A. -0.2 B. -0.9 C. 0.9 D. 0.2

*See attachment for the scatter plot.

Answer:

C. 0.9

Step-by-step explanation:

The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.

Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.

Therefore, the best estimated value for the correlation coefficient would be C. 0.9.

Answer:

242

Step-by-step explanation:

Rule out anything above five from being the ones number as it wouldn't be possible to be doubled for the tens.

After that it is just trial and error putting 1,2,3,4 in the tens and following the word equation.

121 = doesn't equal 8

363= doesn't

484 = doesn't

thats leaves 242 which follows the pattern and equals 8

Answer:

x = 42

y = 96

w = 48

z = 84

Step-by-step explanation:

for x) 90 - 48 to find x b/c 90 is the sum of that right angle so subtracting 48 from 90 would give you the other side.

for y) 190 - 42 - 42 to find y b/c 180 is the sum of a triangle and we know that the top angle is 42 and the bottom angle is 42.

for w) 180 - 90 - 42 to find w b/c the sum of the entire triangle is 180 and we know that the top angle is 90 b/c it's a right angle and we know that the bottom left is 42.

for z) 180 - 48 - 48 for z b/c we know the two angles now b/c we just found w so we can use that to subtract from 180 to get z.

Answer:

-3 and 23,20,17

Step-by-step explanation:

35-3=32,32-3=29

Answer:

a panda

Step-by-step explanation:

Answer:

1. sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

Step-by-step explanation:

For Part 1

With knowledge of SOH CAH TOA

Sin = Opp/Hyp

Cos = Adj/Hyp

Tan = Opp/Adj

So:

sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

For Part 2

We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.

To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.

The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.

Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.

The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:

dV = π(y^(12/11))^2 dy

Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:

V = ∫(0 to 1) π(y^(12/11))^2 dy

Simplifying the integrand, we have:

V = π∫(0 to 1) y^(24/11) dy

Using the power rule of integration, we have:

V = π[(11/35) y^(35/11)](0 to 1)

Evaluating this expression at the limits of integration, we get:

V = π[(11/35) - 0] = π(11/35) = 11π/35

Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).

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

Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0

A)  V = π∫(0 to 1) y^(11/12) dy =  11π/70

B)  V = π∫(0 to 1) y^(24/11) dy =  11π/70

C)  V = π∫(0 to 1) y^(12/11) dy =  11π/35

D) V = π∫(0 to 1) y^(24/11) dy = 11π/35

Answer: $387

Step-by-step explanation:

Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.

To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).

The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:

2x + 3y = 15

3y = -2x + 15

y = (-2/3)x + 5

The slope of the given line is -2/3.

Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.

Now, we can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:

y - (-5) = (-2/3)(x - (-3))

y + 5 = (-2/3)(x + 3)

To convert this equation into slope-intercept form, we can simplify and rearrange:

y + 5 = (-2/3)x - 2

y = (-2/3)x - 2 - 5

y = (-2/3)x - 7

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Answer:

-17

Step-by-step explanation:

ok well I can't really see Sam and John's answer but -3-14 is equal to -17

if you see that there's a negative in front of the first number and its also subtracting you have to make that subtract sign an addition sign then change the second number to a negative like this:

-3+-14 then you just add.

With Sam and John whichever one had -17 as their answer is correct

Answer:

1/5 divided by 3 is 1/15

Step-by-step explanation:

Answer:

D. one fifteenth

Step-by-step explanation:

Answer:

They will have the same amount of CDs on the third month

they will both have 33

Step-by-step explanation:

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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Answer:

294

Step-by-step explanation:

100%-> 700

42%->294

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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-3+-7....The answer is minus 10

A function containing a variable base raised to a fixed power   is considered to be a power function.

when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.

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