Please help answer !:)

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Answer:

-2

Step-by-step explanation:

The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.

Answer:

Hi I’m the friend

Step-by-step explanation:

by the way I also need brainliest, so you get to choose who to mark as brainliest

Type I error is generally worse than a Type II error in all of these scenarios, as it can have more severe consequences.

The Null Hypothesis is a statement that assumes that there is no significant difference or effect between two groups or variables. The Alternative Hypothesis is a statement that assumes that there is a significant difference or effect between two groups or variables.

Conjecture: It is believed that a new drug can cure a cold.

Null Hypothesis: The new drug does not cure a cold.

Alternative Hypothesis: The new drug does cure a cold.

Type I error: We conclude that the drug cures a cold, but it does not.

Type II error: We conclude that the drug does not cure a cold, but it actually does.

Ramifications: If we make a Type I error, we may give the drug to people who do not need it, which can have negative side effects. If we make a Type II error, people who could have benefited from the drug will not receive it.

Conjecture: The teacher will never check homework today.

Null Hypothesis: The teacher will check homework today.

Alternative Hypothesis: The teacher will not check homework today.

Type I error: We conclude that the teacher will not check homework today, but they actually do.

Type II error: We conclude that the teacher will check homework today, but they actually do not.

Ramifications: If we make a Type I error, we may not do our homework and receive a lower grade. If we make a Type II error, we may waste time doing homework that will not be checked.

Conjecture: In a big store like Wal-Mart, they will never catch me if I shoplift.

Null Hypothesis: Wal-Mart will catch me if I shoplift.

Alternative Hypothesis: Wal-Mart will not catch me if I shoplift.

Type I error: We conclude that Wal-Mart will not catch us if we shoplift, but they actually do.

Type II error: We conclude that Wal-Mart will catch us if we shoplift, but they actually do not.

Ramifications: If we make a Type I error, we may shoplift and get caught, which can have legal consequences. If we make a Type II error, we may shoplift and get away with it, which can encourage further illegal behavior.

Conjecture: If I try to learn to ski, I will end up hurting myself.

Null Hypothesis: Trying to learn to ski does not result in injury.

Alternative Hypothesis: Trying to learn to ski does result in injury.

Type I error: We conclude that trying to learn to ski results in injury, but it actually does not.

Type II error: We conclude that trying to learn to ski does not result in injury, but it actually does.

Ramifications: If we make a Type I error, we may avoid skiing altogether and miss out on the experience. If we make a Type II error, we may attempt skiing and get injured, which can have physical and financial consequences

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Answer:

2    4   23

Step-by-step explanation:

The percentage of our new facility's seating is full will be 76%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

Our new training room can seat 150 employees.

If 6 tables consisting of 6 chairs are now taken.

Then the number of occupied seats by tables will be

⇒ 6 x 6

⇒ 36

Then the percentage of our new facility's seating is full will be

P = [(150 - 36) / 150]  x 100

P = (114/150) x 100

P = 0.76 x 100

P = 76%

The percentage of our new facility's seating is full will be 76%.

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Based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

The reading specialist is trying to estimate the population mean word length of an elementary school history textbook, but it is not practical or possible to measure the word length of every single word in the book. So, instead, the specialist takes repeated random samples of 100 words from the book and calculates the mean word length of each sample. Based on these repeated samples, the specialist estimates that the mean word length of the book is 4.9 letters. This means that, on average, the words in the book are about 4.9 letters long. The specialist also calculated the standard deviation of the sampling distribution, which is a measure of the variability of the sample means. In this case, the standard deviation of the sampling distribution is estimated to be 0.15 letters. This means that the mean word length of each random sample is expected to vary by about 0.15 letters from the population mean. It is important to note that these estimates are based on a specific set of samples and are subject to sampling variability. If the specialist were to take different random samples, the estimates may be slightly different. However, based on the information given, the estimated mean word length of the book is 4.9 letters and the estimated standard deviation of the sampling distribution is 0.15 letters.

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Answer:

53.32114

Step-by-step explanation:

Answer:

Mean: 89

Median: 89

Mode: 89

Range: 22

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Mean-89

Median-89

Mode-89

A variation on Lagrange polynomial interpolation is called barycentric interpolation. Second, just use Newton interpolation formula to assess p(x) for each x.

The Lagrange interpolation theorem can be used to create a polynomial that traverses a specified set of points and takes particular values at random locations. This theorem provides the approximate formula for the nth degree polynomials to the function f if a variable f (x) is available at discrete places xi, I = 0, 1, 2,... (x).

The Lagrange theorem extrapolates well-known mathematical principles like the statement that a line is uniquely specified by two points, the knowledge that the quadratic function polynomial is completely determined by three points, and so forth.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

Blue square = x²

Orange square = 6x

Yellow square = 4x

White square = 24

Answer:

20

Step-by-step explanation:

Answer:

1/20 people will win

Step-by-step explanation:

The cost of bike rental is $9 per hour. For b hours, the costof rental shall be;

9b

Th cost of scooter rental is $10 per hour. For s hours, the cost of rental shall be;

10s

The total costfor Ari to rent a bike and for Meg to rent a scooter is;

Next, if Ari rents the bike for 4 hours and Meg rents the scooter for 3 hours, the total cost is now;

The total cost of rental is $66

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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The two points of tangency are (-1,3) and (1,-3).

What is the equation of a tangent to the circle?

The equation of a tangent to a circle is a linear equation that describes a line that touches the circle at exactly one point, without crossing it. A tangent line is perpendicular to the radius of the circle at the point of contact.

Since the line T is tangent to the circle, the radius of the circle drawn to the point of tangency (-1,3) is perpendicular to the line T. Therefore, the center of the circle must lie on the line perpendicular to T at (-1,3).

The equation of the tangent line T can be found by taking the derivative of the equation of the circle and evaluating it at the point of tangency (-1,3):

2x + 2y(dy/dx) = 0

dy/dx = -x/y

At the point (-1,3), dy/dx = -(-1)/3 = 1/3. Therefore, the equation of the tangent line T is:

y - 3 = (1/3)(x + 1)

y = (1/3)x + 10/3

The slope of any line perpendicular to T is -3 (the negative reciprocal of 1/3). The point-slope form of the equation of a line with slope -3 passing through (-1,3) is:

y - 3 = -3(x + 1)

y = -3x

To find the points of tangency, we need to solve the system of equations consisting of the equation of the circle and the equation of the tangent line:

x² + y² = 10

y = -3x

Substituting y = -3x into the first equation, we get:

x² + (9x²) = 10

10x² = 10

x² = 1

x = ±1

Substituting these values of x into y = -3x, we get:

(-1,3) and (1,-3)

Therefore, the two points of tangency are (-1,3) and (1,-3).

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Answer:

16 =2^4

Step-by-step explanation:

16

16 = 4*4

but 4 is not prime

4 = 2*2

16 = 2*2*2*2

Rewriting with exponents

16 =2^4

Answer:

→ Prime factorization of 16 :

Answer: f(x)=x-2

Step-by-step explanation:

Linear function means a straight line, so graph each one to find which is a straight line

Answer:

20%

Step-by-step explanation:

He spent (8500+ 1500) = 10 000   then sold it for 2000 MORE
Profit = 2000 / 10 000   * 100% = 20%

144ft------------------------------>3s

xft -------------------------------->1s

Using cross-multiplication:

Answer:

48ft/s

Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

The equivalent expressions are B: 2(12m-6p+36) and (c): 12(2m-p+6)

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

24m-12p+72

Factor out 2 from the expression

So, we have

2(12m-6p+36)

This represents the option (b)

Factor out 12 from the expression

So, we have

12(2m-p+6)

This represents the option (c)

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Answer:2027

Step-by-step explanation:

931+1096=2027

Based on a system of equations, a pound of apples costs $0.89.

A system of equations is two or more equations solved at the same time or concurrently.

A system of equations is also referred to as simultaneous equations.

                    Apples     Pears     Total Cost

Janice              2              3             $3.85

Lisa                  4              2             $4.94

Let the cost of a pound of apples = x

Let the cost of a pound of pears = y

2x + 3y = 3.85 ... Equation 1

4x + 2y = 4.94 ... Equation 2

Multiply Equation 1 by 2:

4x + 6y = 7.7 ... Equation 3

Subtract Equation 2 from Equation 3:

4x + 6y = 7.7

-

4x + 2y = 4.94

4y = 2.76

y = 0.69

Substitute y = 0.69 in Equation 1 or 2:

4x + 2y = 4.94

4x + 2(0.69) = 4.94

4x + 1.38 = 4.94

4x = 3.56

x = 0.89

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Answer:

\(f=278\)

Step-by-step explanation:

\(f-81=197\)

Add 81 to both sides:

\(f-81+81=197+81\)

\(f=278\)

Answer:

D I believe

Step-by-step explanation:

Answer:

((1+2)x3) + (4x5) = 29

Step-by-step explanation:

Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,

we get,

((1+2)x3) + (4x5) = 29

This is true because,

(3x3) + (4x5) = 29

(9) + (20) = 29

29 = 29

Answer:

Step-by-step explanation:

Let AC = x

AB - AC = 4 cm

AB = 4 +x  ----------------(I)

Pythagorean theorem

AB² + AC² =BC²

(4 + x)² + x² = 9²

Use the identity (a + b)² = a² + 2ab + b² where a = 4 & b = x

4² +2*4*x  +x² + x²= 81

16 + 8x + 2x² = 81

2x² + 8x + 16 - 81 = 0

2x² + 8x - 65= 0

a = 2 ; b = 8 ; c = -65

D = b² - 4ac

   = 8² - 4*2*(-65)

  = 64 +  520

D = 584

√D = √584 = 24.16

\(x=\frac{-b+\sqrt{D}}{2a} \ or \ x =\frac{-b-\sqrt{D}}{2a}\\\\x= \frac{-8+24.16}{2*2} \ or \ x = \frac{-8-24.6}{2*2}\)   {Ignore this as it is negative.}

x = 16.16/4

x = 4.04

AC = 4.04 Cm

AB = 4 + 4.04 = 8.04 cm

Area of triangle ABC = \(\frac{1}{2}* base * height\)

                                   \(=\frac{1}{2}*4.04 *8.04\\\\= 2.02 * 8.04\)

                                   = 16.24 sq.cm