4- a population of size 1,000 has a proportion of .5. therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are _____.

The equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

Here, the equation of line given is y = -2x-7 first calculating its slope (\(m_{1}\)) by comparing it with slope- intercept form of line i.e. y = mx+c

Therefore, the slope of the given line \(m_{1}\) is -2.

Now the slope (\(m_{2}\)) of the line perpendicular to the given line is calculated using relation :

\(\begin{aligned}m_{1}m_{2}&=-1\\m_{2}&=\frac{-1}{-2}\\&=\frac{1}{2}\end{aligned}\)

Now the equation of the line passing through (4,3) and slope 1/2 will satisfy the equation y = mx +c

\(\begin{aligned}y&= mx +c \\3&=\frac{1}{2}\cdot 4+c\\c&=1\end{aligned}\)

Therefore the equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2

\(\begin{aligned}y&= mx +c \\y&=\frac{1}{2}x+1\\2y&=x+2\end{aligned}\)

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The diagonal matrix A' for T relative to the basis \(\(B'\)\) is:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

To find the diagonal matrix A' for the linear transformation T relative to the basis B', we need to perform a change of basis using the given matrix A and basis B'.

Let's denote the standard basis as \(\(B = \{(1, 0, 0), (0, 1, 0), (0, 0, 1)\}\).\)

To perform the change of basis, we need to find the matrix P such that P[B'] = B.

We can write the vectors in B' as column vectors:

\(\[B' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

To find \(P\), we solve the equation P[B'] = B for P:

\(\[P \cdot B' = B\]\\\\\P = B \cdot (B')^{-1}\]\)

Calculating the inverse of \(\(B'\)\):

\(\[B'^{-1} = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Now we can calculate \(\(P\)\):

\(\[P = B \cdot B'^{-1} = \left[ \begin{array}{ccc} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right] = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Now, the diagonal matrix A' for T relative to the basis B' can be calculated as:

\(\[A' = P^{-1} \cdot A \cdot P\]\)

Calculating\(\(P^{-1}\):\)

\(\[P^{-1} = \left[ \begin{array}{ccc} -1 & 1 & 0 \\ \frac{1}{2} & \frac{1}{2} & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Substituting the values into the equation for \(\(A'\)\):

\(\[A' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]^{-1} \cdot \left[ \begin{array}{ccc} -1 & -2 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Performing the matrix multiplication:

\(\[A' = \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & -2 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1 \end{array} \right] \cdot \left[ \begin{array}{ccc} -1 & 2 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Calculating the matrix multiplication, we get:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

Therefore, the diagonal matrix A' for T relative to the basis B' is:

\(\[A' = \left[ \begin{array}{ccc} 3 & -4 & 0 \\ -2 & -1 & 0 \\ 0 & 0 & 1 \end{array} \right]\]\)

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Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

Answer:

-112

Step-by-step explanation:

Answer:

-112

Step-by-step explanation:

PEMDAS

3 + 5[5 + (7 – 3) – 32] - slove the parenthesis in the brakets first

3 + 5[5 + 4 – 32] - slove whats in the brakets

3 + 5[-23] - multiply 5 & -23

3 + -115 - slove

-112

Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

Weighing the available information and assigning a probability.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It solely represents the subject's thoughts and prior experience and does not include any formal computations. A "gut instinct" used when making a deal is an illustration of subjective probability.

So, as per the definition of subjective probability

Dividing the number of favourable events by the number of possible events and Studying the fraction of times in the past a particular event has happened, both can be determined through calculations mathematically accurate but for Weighing the available information and assigning a probability we might use a "gut instinct". Thus

Weighing the available information and assigning a probability.

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In the given equation x = 9 is the value that satisfies the equation.

The square root of a number is a value that, when multiplied by itself, equals the original number. For example, the square root of 9 is 3, because \(3*3 = 9\). The symbol for square root is "√" and it can also be represented as "sqrt".

In the given equation \(x = 9\) is the value that satisfies the equation.

To find the value of x in the equation \(3 \sqrt{x} = 9\), we first need to square both sides of the equation to eliminate the square root.

\(3 \sqrt{x} = 9\)

Squaring both sides:

\((3 \sqrt{x} )^2 = 9^2\)

\(x = 9^2 / 3^2 = 9^2 / 9 = 9\)

Therefore, x = 9 is the value that satisfies the equation.

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The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.

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For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

10 meters is equivalent to 1000 cm and 0.01 kilometers

Step-by-step explanation:

Step-by-step explanation:

z² +x² - y= -2²+ -1² - 3

4+ 1 - 3= 2

x²y²z²= -1²× 3²× -2²

1× 9× 4= 36

Answer:

perimeter=4l then multiply with how many square are there

then area = l²

multiple with how many square are there

Answer:

-9

Step-by-step explanation:

3x=-27

This problem can be solved using a simulation approach.

Here is the python code for the given question:

#include

#include

#include

#include

#include

#define int long long

#define N 200005

#define re register

intusing namespace std;

inline int read(){    re s=0,f=0;    

char ch = getchar();    

while (ch<'0'||ch>'9')    {        if(ch=='-')        f=1;        

ch = getchar();    }    

while (ch>='0'&&ch<='9')    s=(s<<3)+(s<<1)+(ch^48),ch=getchar();    

if(f)    return -s;    return s;}

int n,k,a[N],head,tail,ans;

struct node{    int id,val;}q[N],w[N];

inline bool cmp(node x,node y)

{return x.val>y.val;}

signed main()

{    n=read();k=read();for(re i=1;i<=n;++i)    

{        a[i]=read();        q[i]=(node){i,a[i]};    }    

sort(q+1,q+1+n,cmp);

for(re i=1;i<=n;++i)    if(q[i].id==1)    head=i;    

else if(q[i].id==2)    tail=i;

while(1)

{    re flg=1;    if(w[tail-1].val>=w[tail].val&&tail>=2)    

{        w[tail-1]=w[tail];        tail--;        flg=0;    }

if(w[head+1].val>=w[head].val&&head<=n-1)    

{        w[head+1]=w[head];        head++;        flg=0;    }    

if(flg)    

{        w[++tail]=q[++ans];        if(w[tail].id==1)        head=tail;        

if(tail-head+1==k)        

break;    }    

sort(w+head,w+tail+1,cmp);}

printf("%lld\n",w[tail].val);    

return 0;}

This problem can be solved using a simulation approach.

At each step, we need to determine which player wins the game, and accordingly, we need to update the queue of players.

We need to continue the simulation until one player wins k consecutive games.

Once we have determined the winner, we need to output the power of the winning player.

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Answer:

21,704

Step-by-step explanation:

Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)

V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere

V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder

Let's find the hemisphere first.

We're using 3.14 for pi, so the equation would look like this

V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)

V = \(\frac{2}{3}\) x 3.14 x 1728

V = 3617.28 \(ft^{3}\)

Now let's find the volume of the cylinder.

V = 3.14 x \(12^{2}\) x 40

V = 3.14 x 144 x 40

V = 18,086.4 \(ft^{3}\)

Last, you add both volumes together.

3617.28 + 18,086.4 = 21,703.68

Round it to make it 21,704.

The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Given that the top of a silo is a hemisphere

Radius(r) = 12 ft.

Then, the volume of a hemisphere is,

V = 2/3πr³

V = 2/3 x 3.14 x 12³

V = 10851.84 feet³

And, the bottom of the silo is a cylinder with

height (h) = 40ft.

the volume of a cylinder is,

V = πr²h

V = 3.14 x 12² x 40

V = 18095.57

So, the total volume is

V = 10851.84 + 18095.57

V = 28947.41

Then, total volume = total number of cubic feet of grain

Hence, the required answer is, 28947.41 .

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Your answer for this question is B

The average rate of change of f(x) is less than average rate of change of g(x). Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function f(x) is given in the table, then the rate of change of the function f(x) will be

Rate of change of f(x) = (-2 + 4.5) / (-2 + 3)

Rate of change of f(x) = 2.5

If function g is a quadratic function that contains the points (-3,5) and (0,14).

Then the rate of change of the function g(x) will be

Rate of change of g(x) = (14 - 5) / (0 + 3)

Rate of change of g(x) = 9/3

Rate of change of g(x) = 3

Thus, the average rate of change of f(x) is less than average rate of change of g(x).

Then the correct option is C.

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━━━━━━━☆☆━━━━━━━

▹ Answer

A ≈ 201.06 mm²

▹ Step-by-Step Explanation

A = πr²

Radius = 1/2d

Radius = 1/2(16)

Radius = 8

Substitute:

A = π8²

A ≈ 201.06 mm²

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

Area of a circle is given by πr²

where r is the radius

To find the radius we use the formula

radius = diameter / 2

From the question

diameter = 16mm

radius = 16 / 2 = 8mm

So the area of the circle is

π(8)²

= 64π

= 201.061

= 201 mm² to the nearest whole number

Hope this helps you

Answer:

wait ok

Step-by-step explanation:

Answer:

C. Infinitely Many Solutions.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer: The two angles are supplementary, meaning they add up to 180 degrees.

Therefore:

82 + x = 180

x = 98

x is equal to 98 degrees.

Step-by-step explanation:

Mark me brainlist

Answer:

What is the length of side AD?. . . 6 cm. 8.5 cm. 10.4 cm. 12 cm

Answer:

Step-by-step explanation:

There’s your answer I think hope it help:) You got this!!!

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

Answer:

It would be C because the original price is 7 and they reduced the price by tow so it would be (7-2)

Step-by-step explanation:

Answer:

Subtract the flat rate of 1.75 from the spending limit of 10$ which leaves you with 8.25 then divide the rest of your spending money (8.25$) into your rate per mile (0.65) , so essentially , 8.25 / 0.65 which leaves you with the answer of ;

12 miles.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Trust me on this, its hard to explain but Im 100% sure.

the translated function from \(y = |x|\) with a horizontal shrink of 0.25, a reflection about the x-axis, and a vertical shift of 8 units down is \(y = -4|x| - 8\).

To create the translated function from \(y = |x|\) with the given transformations, we can apply each transformation step by step:

1. Horizontal shrink of 0.25: To shrink the function horizontally by a factor of 0.25, we divide the variable \(x\) by 0.25. This causes the function to compress horizontally.

2. Reflection about the x-axis: To reflect the function about the x-axis, we multiply the entire function by -1. This flips the function upside down.

3. Vertical shift of 8 units down: To shift the function downward by 8 units, we subtract 8 from the entire function. This moves the function vertically downward.

Combining these transformations, the translated function becomes:

\[y = -\left|\frac{x}{0.25}\right| - 8\]

Simplifying further, we can rewrite the function as:

\[y = -4|x| - 8\]

So, the translated function from \(y = |x|\) with a horizontal shrink of 0.25, a reflection about the x-axis, and a vertical shift of 8 units down is \(y = -4|x| - 8\).

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Answer:

-5 because it is negative

Step-by-step explanation: