PLEASE HELP I need it ​

Answer:

Below in bold.

Step-by-step explanation:

GCF of -8, 24 and 12

= -4

GCF of x^7, x^6 and x^5

= x^5

Required GCF is -4x^5

and factors are

-4x^5( 2x^2 - 6x - 3)

Answer: About $5.49

Step-by-step explanation:

Answer:

5.4875

Step-by-step explanation:

4 pizzas = 21.95

divide 21.95 by 4

5.4875 is your answer

The  volume of the largest right circular cone that can be inscribed in a sphere of radius r is  8/27 (volume of sphere)

Let r serve as the foundation. the volume of the area, and radius x is the separation between the base and the sphere's center. Height h of the cone = R + x

∴    V= 1/3πr² h= π/ 3 (R² −x²)(R + x)

       = π/3​ (R² + R² x − Rx² −x² )

∴   dV/ dx​ = π​ /3 [R²−2Rx−3x² ]

  d²V/ dx²​ = π/3​ [−2R−6x]

For max or min V dV/dx​ =0

∴   R² −2Rx−3x² =0

⇒(R + x)(x−3x)=0    

2) x=−R, x​/3 but x = −R

When x= R/3 d² V/dx² <0  V is max only when x= R/3

​∴   Max V= 1/3π(R² − R²/9 )(R+ R/3 )

= 32πR³/81

= 8/27 ( 4/3 πR³)

= 8/27 (volume of sphere)

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Answer:

3240 pounds of copper would be used

Step-by-step explanation:

\(\frac{18}{15}=\frac{x}{2700} \\(2700)*(\frac{18}{15})=x\\3240lbs=x\)

Answer:

x = 11

Step-by-step explanation:

4x + 7 = 6x -15

4x - 6x = -15-7

-2x = -22 / : (-2)

x = 11

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

The average weekly work hours for freshmen at public and private universities were compared using two independent random samples. The p-value for the null hypothesis of equal average work hours was determined using a two-tailed test.

The problem provides data on the average weekly work hours for freshmen at public and private universities, along with the respective standard deviations. Two independent random samples, each consisting of 900 students, were taken. The goal is to test the null hypothesis that the average number of weekly work hours is the same for both groups. To determine the p-value, a two-tailed test is performed. By comparing the averages and standard deviations, the test statistic can be calculated, and the p-value can be determined based on its distribution.

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Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

Answer:

(x^4/3)^3/2 = x^a

<=>

x^[(4/3)x(3/2)] = x^a

<=>

x^2 = x^a

<=>

a = 2

Answer:

1.45 pounds

Step-by-step explanation:

6.6 divided by 4

Answer:

\(y=sin^{-1}x\)

Step-by-step explanation:

Given: A point is \((0,2\pi)\)

To find: function whose graph passes through the given point

Solution:

A trigonometry explains the relationship between the sides and the angles of the triangle.

The inverse trigonometric functions \(sin^{-1}x\,,\,cos^{-1}x\,,\,tan^{-1}x\) help to find the value of an unknown angle of a right triangle when length of two sides are given.

Consider \(\sin y=x\)

Put \(y=2\pi\)

\(sin 2\pi=0\)

So, point \((0,2\pi)\) satisfies the function \(y=sin^{-1}x\)

Therefore, graph of function \(y=sin^{-1}x\) passes through \((0,2\pi)\)

Answer:it’s A y=cos^1(x)

Step-by-step explanation:

Edge 2020

Answer:

We have slope of EF : \(\mathbf{\frac{-4}{5}}\) and slope of GH: \(\mathbf{\frac{-4}{5}}\)

Both have same slope, so EF is parallel to GH i.e. EF || GH

Step-by-step explanation:

We need to find Is EF and GH parallel.

If EF and GH are parallel, they have same slopes.

So, we will find slopes of EF and GH

The formula used is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

Slope of EF

We have: E(2,5) and F(7,1)

So, \(x_1=2, y_1=5, x_2=7, y_2=1\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-5}{7-2}\\Slope=\frac{-4}{5}\\\)

So, slope of EF is \(\mathbf{\frac{-4}{5}}\)

Slope of GH

We have: G(2,-3) and F(-3,5)

So, \(x_1=2, y_1=-3, x_2=-3, y_2=5\)

Putting values in formula and finding slope

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-(-3)}{-8-2}\\Slope=\frac{5+3}{-10}\\Slope=\frac{8}{-10}\\Slope=\frac{-4}{5}\)

So, slope of GH is \(\mathbf{\frac{-4}{5}}\)

We have slope of EF : \(\mathbf{\frac{-4}{5}}\) and slope of GH: \(\mathbf{\frac{-4}{5}}\)

Both have same slope, so EF is parallel to GH i.e. EF || GH

Answer:

I believe it is 1.

Step-by-step explanation:

hope this helps

Answer:

lefjiiofrioropr

Step-by-step explanation:

The exterior of a triangle is the sum of two of its interior angles except the one adjacent to it. The angle x is evaluated as 135°.

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle shown in the figure with following angles,

∠y = 102°  and ∠Z = 57°.

Angle x is the exterior angle of the given triangle. Use the property of exterior angle to get,

∠x  = ∠B + ∠Z

     = (180° - y) + 57°

     = (180° - 102°) + 57°

     = 135°

Hence, the angle x has been worked out as ∠x = 135°.

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The corresponding uncertainty in the x-component of the net force on this system is approximately εFnetx, rounded to at least 3 significant figures.

To find the uncertainty in the x-component of the net force on a system, given uncertainties in the forces and angles, we need to propagate the uncertainties through the calculations. The uncertainties given are εF = 10 N for the forces and εθ = 0.5∘ for the angles. The task is to determine the corresponding uncertainty in the x-component of the net force, keeping at least 3 decimal places in the intermediate steps.

Given:

Uncertainty in force (εF) = 10 N

Uncertainty in angle (εθ) = 0.5∘

To find the uncertainty in the x-component of the net force, we need to consider the uncertainties in the individual forces and angles and how they contribute to the overall uncertainty.

First, we propagate the uncertainty for the x-component of each force. Let's denote the forces as F1 and F2, with uncertainties εF1 and εF2, and the corresponding x-components as F1x and F2x. The uncertainties in the x-components can be calculated as:

εF1x = εF1 * cos(θ1)

εF2x = εF2 * cos(θ2)

Next, we propagate through the subtraction of the x-components. Let's denote the net force as Fnet, with uncertainty εFnet. The uncertainty in the net force's x-component can be calculated as:

εFnetx = sqrt(εF1x^2 + εF2x^2)

Be careful with the sign you should use in the subtraction. The net force's x-component is calculated as:

Fnetx = F1x - F2x

Finally, we consider the uncertainty in the x-component of the net force:

εFnetx = |Fnetx| * (εFnetx / |Fnetx|)

Using the given uncertainties and performing the calculations, we can determine the uncertainty in the x-component of the net force, keeping at least 3 decimal places.

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a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

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the number of ways to choose 2 items from a set of 9, which is given by the binomial coefficient C(9, 2). Hence, the number of ways to divide 6 friends into 3 teams is C(9, 2) = 36.

This problem can be solved using the stars and bars approach. The idea is to find the number of ways to distribute 6 "stars" (representing the 6 friends) into 3 "bars" (representing the 3 teams), with the restriction that each bar must have at least 0 stars. This restriction is equivalent to allowing the friends to be split up in any way, including having one or more friends not belong to any team.

To see this, imagine that each friend is assigned a number from 1 to 6, and we want to determine the number of ways to divide these numbers into 3 subsets, with each subset representing one of the teams. The restriction that each team must have at least 0 members is equivalent to saying that each subset is non-empty. This problem can be solved by finding the number of ways to partition 6 items into 3 non-empty sets, which is given by the number of solutions to the equation

x1 + x2 + x3 = 6

where x1, x2, and x3 are non-negative integers. This equation has the same number of solutions as the number of ways to place 6 "stars" into 3 "bars", where each bar represents a team. To see this, think of the stars as the numbers and the bars as the separators between the numbers. For example, the solution x1 = 2, x2 = 1, x3 = 3 corresponds to the partition "2 | 1 | 3", where the vertical bars represent the separators.

Using the stars and bars approach, the number of solutions to the equation x1 + x2 + x3 = 6 is given by the number of ways to place 6 stars into 3 - 1 = 2 bars, which is the number of ways to choose 2 bars out of 6 + 3 = 9 places.

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Given an initial quantity , how much time it takes to obtain an amount, by compound interest

the time expected is t in the formula

5000 (( 1+ 7/100) ^ t = 8000

then

( 1+ 7/100) ^t = (8000/5000) = 8/5

then

( 1 + 0.07) ^ 7.013 = 1.60 = 8/5

then the right answer is 7.013 years

The height of peak is around 2346.9 feet according to stated angles and distance.

The flat base, vertical height of the peak and angle of elevation form a right angled triangle. Hence, the trigonometric relation that will form is -

tan theta = perpendicular/base.

Let the distance between peak and hiker be x from the point of 500 feet

The height based on the first elevation angles of 30° -

tan 30° = perpendicular/(500 + x)

Perpendicular = 0.577 × (500 + x)

Performing multiplication

Perpendicular = 288.67 + 0.577x

The height based on the second elevation angles of 35° -

tan 35° = perpendicular/x

Perpendicular = 0.7 × x

Performing multiplication

Perpendicular = 0.7x

Now equating the height of peak -

288.67 + 0.577x = 0.7x

0.7x - 0.577x = 288.67

0.123x = 288.67

x = 288.67/0.123

x = 2346.9 feet

Hence, the height of peak is 2346.9 feet.

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The complete Ques is -

A hiker (H) walks on the flat ground towards a distinct rock (R) in the forest. Between two points (without ch anging her direction) separated by 500-ft she observes the peak (top) of the rock at 30° and 35° el evation angles. Determine the height to the peak of the rock from the level of the flat ground. A. 315 ft B. 553 ft C. 1123 ft OD. 1645

The formula expressing \(S_n\) as a function of n for the recurrence relation \(S_n=-S_{n-1}+10\) and initial condition \(S_0=-4\) is \(S_n = 5n-4\) if n is even and \(S_n = -5n+14\)  if n is odd.

if n is even, and\(S_n = 5n - 4\)  if n is odd.

The given recurrence relation is:

\(S_n = -S_{n-1} + 10\)

And the initial condition is:

\(S_0 = -4\)

To use the method of iteration, we start by substituting n-1 for n in the recurrence relation:

\(S_{n-1} = -S_{n-2} + 10\)

Next, we can substitute this expression into the original recurrence relation:

\(S_n = -(-S_{n-2} + 10) + 10\)

Simplifying this, we get:

\(S_n = S_{n-2}\)

We can continue this process of substitution, getting:

\(S_{n-2} = -S_{n-3} + 10\)

Simplifying, we get:

\(S_n = S_{n-3} - 10\)

Substituting again:

\(S_{n-3} = -S_{n-4} + 10\)

Simplifying:

\(S_n = S_{n-4} - 20\)

We can see a pattern emerging: each time we substitute, we go back two steps and subtract 10 or 20.

So we can write the general formula for \(S_n\) in terms of \(S_0\) as follows:

If n is even:

\(S_n = S_0 + 10\times (n/2)\)

If n is odd:

\(S_n = -S_0 - 10\times ((n-1)/2)\)

Using the initial condition \(S_0 = -4,\) we can simplify these formulas:

If n is even:

\(S_n = -4 + 10\times (n/2) = 5n - 4\)

If n is odd:

\(S_n = 4 - 10\times ((n-1)/2) = -5n + 14.\)

The formula expressing \(S_n\) as a function of n for the given recurrence relation and initial conditions is: \(S_n = 5n - 4\)

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To use the method of iteration, we need to repeatedly apply the recurrence relation to the initial condition and previous terms until we reach the nth term.

Starting with S0 = -4, we can find S1 by plugging in n=1 into the recurrence relation:

S1 = -S0 + 10 = -(-4) + 10 = 14

Using S1, we can find S2:

S2 = -S1 + 10 = -(14) + 10 = -4

We can continue this process to find the first few terms:

S3 = -S2 + 10 = -(-4) + 10 = 14
S4 = -S3 + 10 = -(14) + 10 = -4

Notice that S2 and S4 are the same value, and S1 and S3 are the same value. This suggests that the sequence alternates between two values: -4 and 14.

We can write this as a formula:

S(n) = -4 if n is even
S(n) = 14 if n is odd

Alternatively, we could write it as:

S(n) = (-1)^n * 9 + 5

This formula also produces alternating values of -4 and 14, and can be derived using the method of recurrence relations.

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a) The value of p₀=1

b)  The population in the year 2020 is 1.3 billion.

c)  The function f(x)=1.5 billion reaches India's population in the year 2030.

A function is a relationship between two or more inputs, each of which corresponds to exactly one output. A domain and a codomain or range are assigned to each function.

a) Given, The population of India after x years is f(x)=p₀(1.01355)ˣ⁻²⁰⁰⁰

Also in 2000, the population reached 1 billion.

That is when x=2000, f(x)=1

f(2000)=1

p₀(1.01355)ˣ⁻²⁰⁰⁰⁻²⁰⁰⁰=1

p₀×1=1

p₀=1

Hence p₀=1

b) Here the objective is we have to find the population in the year 2020

Then the value of f(x) when x=2020

Hence,

f(2020)=p₀(1.01355)ˣ⁻²⁰²⁰⁻²⁰²⁰

f(2020)=1(1.01355)²⁰

f(2020)=1.3

Therefore, the population in the year 2020 is 1.3 billion.

c) f(x)=1.5

p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5

1×p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5

p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5

ln(p₀(1.01355)ˣ⁻²⁰⁰⁰)=ln(1.5)

(x-2000)ln(1.01355)=ln(1.5)

x-2000=ln(1.5)/ln(1.01355)

x=(ln(1.5)/ln(1.01355))+2000

x=30.12+2000

x=2030.12

Hence in the year 2030, the population might reaches to 1.5 billion.

Therefore, f(x)=1.5 billion

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The complete question is:

In 2000 , India's population reached 1 billion, and its projected to be \( 1.45 \) billion in 2025 . Use the function \( f(x

Show transcribed data

In 2000 , India's population reached 1 billion, and it's projected to be

1.45

billion in 2025 . Use the function

f(x)=P0(1.01355)

x−2000

find the help find the following a) What is p₀

​? billion b) Predict India's population in 2020 to the nearest tenth of a billion. billion c) Use the function to determine the year when India's population might reach

1.5

billion. (Round to the nearest year) Question 21 Out of pocket spending for healthcare in the United States increased between 2000 and 2008 . The function

f(x)=2572e

0.0359x

models the average annual expenditures per household, dollars, In this model,

x

represents the year,

x=0"

Answer: The given quadratic expression is:

9x² - 14x + 16

To factorize it, we can use the quadratic formula:

x = [-(-14) ± √((-14)² - 4(9)(16))] / 2(9)

Simplifying under the square root:

x = [-(-14) ± √(4)] / 18

x = [14 ± 2] / 18

x = (16/18) or x = (12/18)

Simplifying:

x = (8/9) or x = (2/3)

So the roots of the quadratic are x = 8/9 and x = 2/3. Therefore, we can factorize the quadratic expression as:

9x² - 14x + 16 = 9(x - 8/9)(x - 2/3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

you hav to times it

The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.

The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.

Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.

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The equation representing  (3,4) as a solution is given by y = 2x - 2.

Solution of the equation is equal to ( 3, 4 ).

Equation is equals to ,

y = __x - 2

To find the value of the missing coefficient in the equation y = __x - 2,

We can substitute the given solution (3, 4) for x and y .

And solve for the missing coefficient of the equation.

let us consider missing coefficient be represented by variable 'm'.

y = mx - 2

Substituting x = 3 and y = 4 in the equation , we get,

⇒ 4 = m × 3 - 2

Add 2 on both the side of the equation we get,

⇒ 4 + 2 = m × 3 - 2 + 2

⇒ 6 = m × 3

Now divide both the side of the equation by 3 we get,

⇒ 6 / 3 = m × 3 / 3

⇒ m = 2

Required equation is equal to

y = 2x - 2

Therefore, the equation that has (3,4) as a solution is equal to y = 2x - 2

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The above question is incomplete, the complete question is:

Complete the equation that has (3,4) as a solution.

y = __x -2

The probability that the two pets selected are of the same species  is 0.2426   .

In the question ,

it is given that ,

the number of puppies in the pet store = 6

the number of kittens in the pet store = 9

the number of lizards in the pet store = 4

the number of snakes in the pet store = 5

total animals = 24

the probability of selecting 2 puppies = ⁶C₂/²⁴C₂

the probability of selecting 2 kittens = ⁹C₂/²⁴C₂

the probability of selecting 2 lizards = ⁴C₂/²⁴C₂

the probability of selecting 2 snakes = ⁵C₂/²⁴C₂

So , the required probability is

= ⁶C₂/²⁴C₂  + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂  + ⁵C₂/²⁴C₂  

Simplifying further ,

we get ,

= 5/92 + 3/23 + 1/46 + 5/138

= 0.0543 + 0.1304 + 0.0217 + 0.0362

= 0.2426

Therefore , the required probability is 0.2426   .

The given question is incomplete , the complete question is

The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?

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If the garage is in the shape of a rectangle then the coordinates of point D:  (3, 2)

The lengths of the two opposite sides are equal.

The angles are all right angles (90 degrees).

The opposing sides are congruent and parallel (i.e., they have the same length).

Diagonals bisect each other.

Find the midpoint of AC:

x-coordinate: (0 + 7)/2 = 7/2

y-coordinate: (0 + 4)/2 = 2

Therefore, the midpoint of AC is M(7/2, 2).

The mid-point of BD will be also same,

suppose the coordinates of the D is (x, y)

So, it can be written as

(x + 4)/2 =  7/2

x + 4 = 7

x = 3

(y + 6)/2 = 2

y + 6 = 4

y =2

Hence, the coordinates of D is (3, 2)

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If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

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Answer:

The median is the middle value when a set of data is arranged in order from smallest to largest.

First, let's arrange the given shoe sizes in order:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5

The median of this data set is 6.5 because it is the middle value.

Now, let's add a shoe size of 9 to the data set:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9

The new median of this data set is 7, which is greater than the previous median of 6.5.

Therefore, the answer is: The median increases to 7.

Answer: The median increases to 7.

Step-by-step explanation: I took the test and got a 100%

Answer:

look at the photo

...................................

Answer:

its b)

Step-by-step explanation:

explained in the comments of second answer⬇️

Answer: x > 3

Step-by-step explanation:

We have the inequality:

-4*(2*x - 7) < 10 - 2*x

We want to find the possible values for x.

first, we expand the left side.

-8x + 28 < 10 - 2x

now we want to have all the terms with x in one side and the terms without x in the other side.

-8x + 2x < 10 - 28

-6x < -18

now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:

x > 18/6 = 3

x > 3

This means that x must be larger than 3.