A sample dataset of 20 values has a mean of 30. One value in
this sample is changed from 25 to 55. What is the new mean value of
the new sample? Explain How you did it?

Answer: x≥-1 or x≤-5

Step-by-step explanation:

First, divide both sides by 4 to get rid of the 4:

4|x+3|≥8

|x+3|≥2

Next, we know that for |a|≥b, a≥b or a≤-b. Therefore:

|x+3|≥2

x+3≥2     or      x+3≤-2

x≥-1                  x≤-5

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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The sampling plan's reliability or validity. Before using a sampling plan, it is crucial to examine its reliability or validity. This assessment helps determine how well the sampling plan can discriminate between good and bad quality.

Reliability refers to the consistency and stability of the sampling plan's results. A reliable sampling plan consistently produces similar outcomes when applied to the same population under similar conditions. If a sampling plan is unreliable, its results may vary widely, leading to inconsistent judgments about quality.

Validity, on the other hand, refers to the extent to which the sampling plan accurately measures or identifies the desired characteristics or qualities. A valid sampling plan provides a true representation of the quality being assessed and ensures that good quality is distinguished from bad quality effectively.

By examining the reliability and validity of a sampling plan, we can gain confidence in its ability to accurately discriminate between good and bad quality. This examination may involve conducting pilot tests, analyzing historical data, or seeking expert opinions to assess the plan's effectiveness and suitability for the specific context.

Without considering the reliability and validity of a sampling plan, there is a risk of making incorrect judgments or decisions based on flawed or biased sampling outcomes. Therefore, it is essential to evaluate these aspects before using a sampling plan to ensure the reliability and accuracy of the results obtained.

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On solving the provided question, we can say that by equation 60 miles from his home is the appointment

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

for d and t

60 = d/t

45 = d / t + 0.33

60t = d

45( t + 0.33) = d

60t = 45t + 15

t = 1 hour

d = 60 X 1 miles = 60 mile

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Given:

The graph of a circle.

To find:

The equation of the given circle.

Solution:

The standard form of a circle is

\((x-h)^2+(y-k)^2=r^2\)          ...(i)

Where, (h,k) is vertex and r is the radius.

From the given graph it is clear that the radius of the circle is 4 units and the center of the circle is (-2,2).

Putting \(h=-2, k=2\) and \(r=4\) in (i), we get

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

\((x+2)^2+(y-2)^2=16\)

Therefore, the equation of the circle is \((x+2)^2+(y-2)^2=16\).

Answer:

V = 497.8 cm^3

Step-by-step explanation:

Thats Righttt

The volume of the cone is 1592.6 cm³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The right circular cone's vertex is immediately above the base's centre. The line connecting the vertex with the centre point of the base is perpendicular to the cone's radius. A cone, on the other hand, can have its vertex anywhere.

Given that, a right circular cone with the height of 19.4 cm and a base with a diameter of 9.9 cm. we need to find the volume,

Volume of cone = 1/3 × π × radius² × height

= 1/3 × 3.14 × (9.9/2)² × 19.4

= 1592.6 cm³

Hence, the volume of the cone is 1592.6 cm³

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Answer:

Nina can run:

13 1/2 km in 1 hour

Step-by-step explanation:

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

proportions:

9/2 hours ⇔  1/3 hour

N hours ⇔ 1 hour

N = (9/2)*1 / (1/3)

N = (9/2) / (1/3)

N = (9*3) / (2*1)

N = 27/2

27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2

Nina can run:

13 1/2 km/h

13 1/2 km in 1 hour

Answer:

13.5

Step-by-step explanation:

Step 1:

4 1/2 × 3 = 13 1/2

Answer:

13.5 kilometers

Hope This Helps :)

The quotient of 3b/4 divided by -c/6 is -9b/2c

Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.

They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;

From the information given, we have that;

3b/4 divided by -c/6

This is represented as;

3b/4 ÷ -c/6

Take the inverse of the divisor and multiply

3b/4 × 6/-c

18b/-4c

Divide the values

-9b/2c

Hence, the value is -9b/2c

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To find the volume and centroid generated by revolving the plane area defined by \(\(y^2 = 4x\)\) and x = 4 about the axis x = 4, we can use the method of cylindrical shells.

First, let's express the equation \(\(y^2 = 4x\)\) in terms of y to find the bounds of integration. Taking the square root of both sides, we have \(\(y = \pm \sqrt{4x}\)\). Since we are revolving the area about the axis x = 4, the axis of rotation lies at x = 4. Therefore, the range of integration for x is from 0 to 4, and the range of integration for y is from \(\(-2\sqrt{x}\) to \(2\sqrt{x}\)\).

The volume generated by revolving the area is given by the integral:

\(\[V = 2\pi \int_{0}^{4} y \cdot (4 - x) \, dx.\]\)

Next, let's calculate the centroid of the volume. The centroid of a volume generated by revolving a plane area can be found using the formula:

\(\[x_{\text{centroid}} = \frac{\int x \cdot dV}{V},\]\)

where x represents the distance from the axis of rotation, and dV represents an elemental volume.

Substituting the equation for \(\(y^2 = 4x\)\) into the formula for the centroid, we have:

\(\[x_{\text{centroid}} = \frac{\int_{0}^{4} x \cdot 2\pi y \cdot (4 - x) \, dx}{V}.\]\)

Now, let's evaluate the integral and simplify the expression to find the volume and centroid.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

1.5 Miles

Step-by-step explanation:

First Convert the Fractions into Like Fractions:

2            2            1             2x6             2x10              1x15

--     +     --     +     --     =     ------     +     --------      +     -------

5            3            2            5x6             3x10              2x15

Then, Simply add and Convert it into a Mixed Fraction

12            20            15             45                15                 1

----    +     ----     +     ----     =     ----     =     1   ---     =     1   --

30           30            30            30                30                2

Brainiest would be nice!!!

Answer:

1 Solar day = 86,400 seconds (SI Base Unit)

1 day = 1,440 minutes

Step-by-step explanation:

If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️

Answer:

if you want you can keep simplifying

Step-by-step explanation:

Step-by-step explanation:

\(x = - \frac{33}{8} \)

not sure about that

The percentage of the data set within the range of 10 to 22 is 68.26%.

To find the percentage of the data set for a normally distributed variable with a mean of 16 and a standard deviation of 6, we can use the concept of z-scores and the standard normal distribution.

First, we need to convert the values to z-scores, which measure the number of standard deviations a particular value is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we want to find the percentage of the data set within a certain range. Let's say we want to find the percentage of the data set between 10 and 22. We can calculate the z-scores for these values:

\(z1 = (10 - 16) / 6 = -1.0\)

\(z2 = (22 - 16) / 6 = 1.0\)

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between these z-scores. The area between -1.0 and 1.0 represents the percentage of the data set within the range of 10 to 22.

Looking up the z-scores in the standard normal distribution table, we find that the area between -1.0 and 1.0 is approximately 0.6826. This means that approximately 68.26% of the data set falls within the range of 10 to 22.

Therefore, the percentage of the data set within the range of 10 to 22 is 68.26%.

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Answer:

1:2

Step-by-step explanation:

dude this is easier than answering a question asking about my day :)

The scale that Desmond used in the drawing is 11 inches : 4 feet

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

Actual length of shopping center is 64 feet long

Scale length of shopping center is 176 inches long

using the above as a guide, we have the following:

Scale = Scale length : Actual length

substitute the known values in the above equation, so, we have the following representation

Scale = 176 inches : 64 feet

Simplify the ration

Scale = 11 inches : 4 feet

Hence, the scale that Desmond used in the drawing is 11 inches : 4 feet

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Answer:

(0, 2 )

Step-by-step explanation:

If the dilatation is centred at the origin then the original coordinates are multiplied by the scale factor , that is

B (0, 4 ) → ( \(\frac{1}{2}\) (0), \(\frac{1}{2}\) (4) ) → (0, 2 )

Answer:

p = 6

Step-by-step explanation:

\((x^{2})(x^{2})^{2}\)

\((x^{2}) ^{2}\) is \(x^{2*2}\)

The equation is now \((x^{2} )(x^{4})\)

add the two exponents together 2 + 4

the final answer is \(x^{6}\)

Answer:

x = 4 / 3  or  1.333  (Approx)

Step-by-step explanation:

Equation:

1/2(3x+4)-8=68-6(4/3+8x)

3x/2 + 4/2 - 8 = 68 - 24/3 - 48x

3x/2 + 2 - 8 = 68 - 8 - 48x

3x/2 + 48x = 66

By taking LCM

3x + 96x = 132

99x = 132

x = 132 / 99

x = 44 / 33

x = 4 / 3  or  1.333  (Approx)

Answer:

45.6

Step-by-step explanation:

24% out of 190 = 45.6

Answer:

Interest is $14,400

Step-by-step explanation:

I = Prt

I = (80,000)(0.09)(2)

I = 14,400

Answer:

$8.50 !! HOPE THIS HELPS!

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

500 pennies

Step-by-step explanation:

Given that

Carmen saved 592 pennies.

Her sister saved 128 pennies.

Together, they put 250 pennies in wrappers and took them to the bank

We need to find out the total number of pennies Carmen and her sister have left

So,

= 592 pennies + 128 pennies  - 250 pennies

= 470 pennies

= 500 pennies

Expressions can be expressed in logarithmic forms, and in exponential forms

The two equations are \(\ln(10) = y\) and \(10 = e^y\)

The statement is given as "the natural logarithm of 10 is y".

The logarithmic expression of the above statement is:

\(\ln(10) = y\)

Rewrite the above expression, as an exponential equation

\(10 = e^y\)

Hence, the two equations are \(\ln(10) = y\) and \(10 = e^y\)

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The relation described, x is related to y if x < y, can be analyzed in terms of symmetry. For a relation to be symmetric, if x is related to y, then y must also be related to x. For a relation to be anti-symmetric, if x is related to y and y is related to x, then x must equal y.

In this case, if x is related to y because x < y, then it is not possible for y to be related to x through the same relation, as y cannot be less than x simultaneously. Therefore, the relation is not symmetric.
Now let's consider anti-symmetry. For all positive real numbers, the only way for x to be related to y and y to be related to x (x < y and y < x) is if x = y. However, since x cannot be less than itself, x is not related to y in this relation. Hence, the relation is not anti-symmetric either.
In conclusion, the correct description of the relation x < y with the domain of all positive real numbers is:
C. Neither symmetric nor anti-symmetric.

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