Find the constant of proportionality for this proportional relationship and write an equation. Use b for bags of candy and p for pieces of candy.

answer and get 20 points

All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

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The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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The complete blanks are

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

The graph

The domain is the set of x values on the graph

So, we have

Domain = [-1, 4]

The range is the set of y values

So, we have

Range = [-2, 3]

The function type is the set of ordered pairs on the graph

So, we have

Function = {(-1, -2), (4, -2), (1, 1), (2, 3)}

The function type cannot be determined

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Given:

Value of Gift card = $50

Each time she visits the coffee shops she spends $3.75 on her favorite drink.

To find:

The equation for the given situation.

Solution:

Let x be the number of times she visits the coffee shop, and y be the total amount on her gift card.

Cost of her favorite drink for one time = $3.75

Cost of her favorite drink for x times = $3.75x

Value of gift card is $50. So,

Amount on her gift card = 50 - Cost of her favorite drink for x times

\(y=50-3.75x\)

Therefore, the required equation is \(y=50-3.75x\).

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

Step-by-step explanation: p(x) =18-5(-2) = 28

value of p(-2) is 28.

There are 43 integers in the range from 92 to 734 that are divisible by 15. The probability that a random integer from 92 to 734 is divisible by 15 is approximately 0.067.

To find the probability that a random integer from 92 to 734 is divisible by 15, we need to first determine the total number of integers in this range. The difference between 734 and 92 is 642, but since we want to include both endpoints, we need to add 1 to this difference. So there are a total of 643 integers in the range from 92 to 734. Next, we need to determine how many of these integers are divisible by 15. To do this, we need to find the smallest multiple of 15 that is greater than or equal to 92, and the largest multiple of 15 that is less than or equal to 734. The smallest multiple of 15 that is greater than or equal to 92 is 105 (which is 7 times 15), and the largest multiple of 15 that is less than or equal to 734 is 720 (which is 48 times 15).

So the integers from 105 to 720 (inclusive) are all divisible by 15. To count the number of integers in this range, we can divide the difference between 720 and 105 by 15, and add 1 to account for the first multiple of 15:
(720 - 105) / 15 + 1 = 43
Therefore, there are 43 integers in the range from 92 to 734 that are divisible by 15.

To find the probability that a random integer from this range is divisible by 15, we can divide the number of integers that are divisible by 15 (43) by the total number of integers in the range (643):
43 / 643 ≈ 0.067
So the probability that a random integer from 92 to 734 is divisible by 15 is approximately 0.067.

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Answer:

\(\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle V_P = 2x^3 - 6x^2 + 8x\)

\(\displaystyle V_C = 27x^3\)

Step 2: Find Combined Volume

Answer:

5x = 5(10) = 50 inches

Step-by-step explanation:

Let x = length of shorter piece  then

5x = length of the longer piece

.

x + 5x = 60

6x = 60

x = 10 inches (shorter piece)

.

Longer piece:

5x = 5(10) = 50 inches

Maxwell's Equations, in integral form, describe the relationship between electric and magnetic fields. They are relevant to electric generators as they explain how a changing magnetic field induces an electric field, which enables the generation of electric currents.

Maxwell's Equations, in integral form, provide a mathematical description of the relationship between electric and magnetic fields. They play a fundamental role in understanding the behavior of electromagnetic waves, which are essential in the operation of electric generators.

The four Maxwell's Equations in integral form are:

Gauss's Law for Electric Fields:

∮ E · dA = 1/ε₀ ∫ ρ dV

This equation relates the electric field (E) to the electric charge density (ρ) through the divergence of the electric field.

Gauss's Law for Magnetic Fields:

∮ B · dA = 0

This equation states that the magnetic field (B) does not have any sources (no magnetic monopoles).

Faraday's Law of Electromagnetic Induction:

∮ E · dl = - d/dt ∫ B · dA

This equation describes how a changing magnetic field induces an electric field, which leads to the generation of electric currents.

Ampère-Maxwell Law:

∮ B · dl = μ₀ ∫ J · dA + μ₀ε₀ d/dt ∫ E · dA

This equation relates the magnetic field (B) to the electric current density (J) and the rate of change of the electric field.

Electric generators rely on the principles described by Maxwell's Equations, particularly Faraday's Law of Electromagnetic Induction. By rotating a coil of wire within a magnetic field, the changing magnetic field induces an electric field within the coil, resulting in the generation of electric currents. These electric currents can then be harnessed and used as a source of electrical energy.

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Answer:

A

Giải thích:

f(1)=f(x)

f(-1) và f(-2)= f(-x)

=> f(1)=f(-1) =A. f(x)=f(-x)

Answer:

84.2118

Step-by-step explanation:

34.982 + 45.8 + 3.4298=84.2118

Answer: 12.152

Step-by-step explanation:

Answer:

12.15  or   875/72

Step-by-step explanation:

35/6 = 5.8333333

25/12 = 2.083333

or

35/6 turns to 70/12

70/12 x 25/12 = 1750/12  

1750/144 turns to 875/72

Answer:

4 hours

Step-by-step explanation:

Because 1×4=4 1/4=25×4

The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)

The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.

-5 is the best way to describe the slope.

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Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.

Let's call the measures of the angles in the triangle x, x, and 2x. Then,

x + x + 2x = 180 degrees,

so 4x = 180 degrees, and

x = 45 degrees.

The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.

So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

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Answer:

Alright

Ignore the 20, We have 5(x-2)
Brackets mean Multiplication

So, Multiply 5 with x and multiply 5 with 2

=> 20 = 5x - 10

Transpose the 20 to the other side

the twenty being transposed to the other side becomes Minus because it is in plus

And bring 5x in front of the =

=> 5x = 20 - 10
=> 5x = 10

So now we have 5x but we need x so transpose the 5 to the other side

by transposing the five becomes division because its in positive so

=> x = 10 ÷ 5

=> x = 2

Kaboom, All done!

The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

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Answer:

Congruent

Step-by-step explanation:

A sample has a mean of m = 86. if one new person is added to the sample, the sample mean will increase.

There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.

Imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.

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Answer:

x=5/9

Step-by-step explanation:

TRUST GOES A LONG WAY!

BRAINLIEST?

In equilateral triangles, 7.0 mm is the length of each edge of the diamond.

The equilateral triangle's definition?

An equilateral triangle is a triangle whose three sides are all the same length, commonly referred to as a "regular" triangle.

                                       A triangle with all three sides equal and interior angles of 60 degrees is said to be equilateral. Triangle with an equal number of sides is known as an isosceles triangle.

V = 0.4783 S³  = 161

   S³   =  161/0.47

       = ∛ 161/0.47

       ≈ 7.0 mm

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To determine the singular points of the given differential equation, we need to find the values of x for which the coefficients of y'' (second derivative of y), y' (first derivative of y), and y are equal to zero.

The given differential equation is:

(x^3 - 16x)y'' - 4xy' + 3y = 0

Let's examine each coefficient:

For y'', the coefficient is (x^3 - 16x). The singular points occur when (x^3 - 16x) = 0.

Factoring out an x:

x(x^2 - 16) = 0

This gives us two possibilities:

a) x = 0

b) x^2 - 16 = 0, which leads to x = ±4

For y', the coefficient is -4x. The singular point occurs when -4x = 0, which is x = 0.

For y, the coefficient is 3. Since it is a constant, there are no singular points for y.

Therefore, the singular points of the differential equation are x = 0 and x = ±4.To determine the singular points of the given differential equation, we need to find the values of x for which the coefficients of y'' (second derivative of y), y' (first derivative of y), and y are equal to zero.

The given differential equation is:

(x^3 - 16x)y'' - 4xy' + 3y = 0

Let's examine each coefficient:

For y'', the coefficient is (x^3 - 16x). The singular points occur when (x^3 - 16x) = 0.

Factoring out an x:

x(x^2 - 16) = 0

This gives us two possibilities:

a) x = 0

b) x^2 - 16 = 0, which leads to x = ±4

For y', the coefficient is -4x. The singular point occurs when -4x = 0, which is x = 0.

For y, the coefficient is 3. Since it is a constant, there are no singular points for y.

Therefore, the singular points of the differential equation are x = 0 and x = ±4.

Now, let's classify each singular point as regular or irregular by examining the behavior of the coefficients near these points.

x = 0:

Near x = 0, the coefficient of y'' is x^3 - 16x = -16x. Since this coefficient is nonzero near x = 0, the singular point x = 0 is classified as a regular singular point.

x = ±4:

Near x = ±4, the coefficient of y'' is (x^3 - 16x) = (64 - 64) = 0. The coefficient becomes zero at x = ±4. Therefore, the singular points x = ±4 are classified as irregular singular points.

In summary, the differential equation has three singular points: x = 0 (regular), x = 4 (irregular), and x = -4 (irregular).

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Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

Answer:

2,670.57 cm cubed

Step-by-step explanation:

The whole sphere (outer and inner combined) = 3,052.08  inner sphere = 381.51

3,052.08 - 381.51 is 2,670.57

please tell me if this is wrong, this is my first time doing this type of thing but i am 99% sure its correct

The volume of the outer layer is 2670.57 cubic centimeters.

Given

The aspherical object has a diameter of 18 cm.

It has a spherical inner core with a diameter of 9 cm.

The volume of the outer layer is given by the following formula;

\(\rm Volume=\dfrac{4}{3}\pi r^3\)

The volume of the outer layer is given by;

Entire sphere - Inner sphere= Outer layer

Radius of Entire sphere = 9 cm

Radius of Inner sphere = 4.5 cm

Therefore,

The volume of the outer layer is;

\(\rm Volume=\dfrac{4}{3}\pi [(Entire \ sphere)^3 - (Inner \ sphere)^3]\\\\Volume=\dfrac{4}{3}\pi (9^3-4.5^3)\\\\Volume=\dfrac{4}{3}\pi(729-91.12)\\\\Volume=\dfrac{4}{3}\times 3.14 \times 637.88\\\\ Volume = 2670.57\)

Hence, the volume of the outer layer is 2670.57 cubic centimeters.

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Mean of the sampling distribution of xo: Not enough information provided.

Standard deviation of the sampling distribution of xo: 7 points.

In the given scenario, we have a group of 50 students, and we are comparing their blood pressures before and after watching a violent movie. It is mentioned that, on average, blood pressure increases by 5 points after watching something violent with a standard deviation of 7 points.

The mean difference in blood pressure (x1 - x2) is 5 points, and the standard deviation of the differences (the standard deviation of the sampling distribution of xo) is 7 points.

Since n = 50 and od = nd = 5, it appears that "od" and "nd" refer to the standard deviation of the population (before watching the movie) and the standard deviation of the differences (after watching the movie), respectively.

The mean of the sampling distribution of xo (the mean difference in blood pressure) can be calculated as:

Mean of xo = Mean of (x1 - x2) = Mean of x1 - Mean of x2

Given that blood pressure increases by 5 points after watching the violent movie, we can express the mean of xo as:

Mean of xo = Mean of x1 - (Mean of x2 + 5)

However, we are not provided with the specific value of the mean blood pressure before watching the movie. Without that information, we cannot determine the exact value of the mean of xo.

As for the standard deviation of the sampling distribution of xo, it is the standard deviation of the differences, which is given as 7 points.

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