Find the value of x.
(x+16)
(4x-5)

x = 5
X = 34
x = 16
X= 7

Find The Value Of X.(x+16)(4x-5)x = 5X = 34x = 16X= 7

Answers

Answer 1

Answer:

7

Step-by-step explanation:

x+16=4x-5

slove for x


Related Questions

Suppose in the study described in Problem 9 each participant is also asked if the assigned medication causes any stomach upset. Among the 50 participants, 12 reported stomach upset with the experimental medication. Construct a 90% CI for the proportion of participants who experience stomach upset with the experimental medication.

Answers

A 90% confidence interval for the proportion of participants who experience stomach upset with the experimental medication is estimated to be approximately 0.148 to 0.352.

To construct a confidence interval for the proportion, we use the formula p ± z * sqrt((p * (1 - p)) / n), where p is the observed proportion, z is the z-score corresponding to the desired confidence level, and n is the sample size.

In this case, the observed proportion is 12/50 = 0.24, the sample size is 50, and the desired confidence level is 90%.

Using the standard normal distribution, the z-score corresponding to a 90% confidence level is approximately 1.645.

Plugging these values into the formula, we calculate the margin of error as 1.645 * sqrt((0.24 * (1 - 0.24)) / 50) ≈ 0.101.

To construct the confidence interval, we subtract and add the margin of error to the observed proportion: 0.24 ± 0.101.

Therefore, the 90% confidence interval for the proportion of participants who experience stomach upset with the experimental medication is approximately 0.148 to 0.352. This means we can be 90% confident that the true proportion falls within this interval.

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-8z+12=-12


plz help asap
what is the answer
and what does z stand for??!??

Answers

Answer:

z is a variable so it can be any number.

z=-3

if you do -8 times -3 that equals 24.

the answer is -3

Step-by-step explanation:

Answer:

z stands for 3.

Step-by-step explanation:

First, subtract 12 from both sides.

-8z + 12 - 12 = -12 - 12

-8z = -24

Next, let's put brackets [] between both numbers. Any number inside of these becomes positive.

[-8z] = [-24]

8z = 24

Finally, let's divide doth sides by 8!

8z/8 = 24/8

z = 3

Suppose the future value of a \( 7.75 \% \) simple interest loan is \( \$ 1,321.17 \) at the end of 230 days. Find the present value of the loan. State your result to the nearest penny.

Answers

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Isolate a variable in each system. You may need to use the distributive property to simplify the equation. Show your work.

3x - 4y = -7
4x + 3y = 24

Answers

Answer:

1.  x=-7/3 + 4y/3

2. x= 6- 3y/4

Step-by-step explanation:

to isolate the variable you simply solve for it by moving all the terms which don't contain x to the right by multiplying, subtracting, adding, and dividing

a correlation coefficient is a statistical measure of theextent to which two factors vary or relate together.statistical significance of a difference between two sample means.frequency of scores at each level of some measure.difference between the highest and lowest scores in a distribution.

Answers

The correlation coefficient measures the relationship between variables. Statistical significance determines if a difference is meaningful. Frequency represents distribution, and range measures variability in data.

A correlation coefficient is a statistical measure of the extent to which two factors vary or relate together.

It quantifies the strength and direction of the linear relationship between two variables. The correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no linear correlation between the variables.

Statistical significance of a difference between two sample means

Statistical significance refers to the likelihood that an observed difference or relationship between variables in a sample is not due to random chance but reflects a true difference or relationship in the population. It is assessed using hypothesis testing and p-values. If the p-value is below a predetermined significance level (often 0.05), the difference or relationship is considered statistically significant.

Frequency of scores at each level of some measure.

The frequency of scores at each level of some measure refers to the number of times each value or category occurs in a dataset. It provides information about the distribution of scores and allows us to understand the prevalence of different values or categories within the data.

Difference between the highest and lowest scores in a distribution.

The difference between the highest and lowest scores in a distribution is known as the range. It is a simple measure of dispersion that provides an indication of the spread or variability of the data. It is calculated by subtracting the lowest score from the highest score.

Each of these concepts has its own significance and application in statistical analysis.

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Which term refers to coordination, balance, and orientation in three-dimensional space?

Answers

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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What are the solutions of each equation?

a. 3 x²-x+2=0

Answers

The solutions of the equation 3x² - x + 2 = 0 are:

x = (1 + √(-23)) / 6

x = (1 - √(-23)) / 6

To find the solutions of the equation 3x² - x + 2 = 0, we can use the quadratic formula:

Given the quadratic equation ax² + bx + c = 0, the solutions can be found using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing this with the given equation 3x² - x + 2 = 0, we have:

a = 3, b = -1, c = 2

Now we can substitute these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 3 * 2)) / (2 * 3)

= (1 ± √(1 - 24)) / 6

= (1 ± √(-23)) / 6

Since the value inside the square root (√(-23)) is negative, it means that the quadratic equation has no real solutions. The solutions are complex numbers.

So, the solutions of the equation 3x² - x + 2 = 0 are:

x = (1 + √(-23)) / 6

x = (1 - √(-23)) / 6

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Find the inverse Laplace transform of F(s)= 2s+10​/ (s+2)2(s+3)

Answers

The inverse Laplace transform of F(s) is \(e^{-2t\) - 3t * \(e^{-2t\) + 10 * \(e^{-3t\).

To find the inverse Laplace transform of F(s) = (2s + 10) / (\((s + 2)^2\) (s + 3)), we can use partial fraction decomposition.

First, we decompose the rational function F(s) into simpler fractions:

F(s) = A / (s + 2) + B / \((s + 2)^2\) + C / (s + 3)

To find the values of A, B, and C, we can multiply both sides of the equation by the denominator (\((s + 2)^2\) (s + 3)) and simplify:

2s + 10 = A(s + 2)(s + 3) + B(s + 3) + C\((s + 2)^2\)

Expanding and collecting like terms:

2s + 10 = A\(s^2\) + (5A + B)s + (6A + 2B + C)

By comparing the coefficients of \(s^2\), s, and the constant term, we obtain a system of equations:

A = 1

5A + B = 2

6A + 2B + C = 10

From the first equation, we find A = 1. Substituting this into the second equation, we get:

5(1) + B = 2

B = -3

Finally, substituting the values of A = 1 and B = -3 into the third equation, we find:

6(1) + 2(-3) + C = 10

6 - 6 + C = 10

C = 10

Therefore, we have A = 1, B = -3, and C = 10.

Now, we can rewrite F(s) in partial fraction form:

F(s) = 1 / (s + 2) - 3 / \((s + 2)^2\) + 10 / (s + 3)

Taking the inverse Laplace transform of each term separately, we have:

\(L^{-1\) {1 / (s + 2)} = \(e^{-2t\)

\(L^{-1\) {-3 / \((s + 2)^2\)} = -3t * \(e^{-2t\)

\(L^{-1\) {10 / (s + 3)} = 10 * \(e^{-3t\)

Therefore, the inverse Laplace transform of F(s) is given by:

f(t) = \(e^{-2t\) - 3t * \(e^{-2t\) + 10 * \(e^{-3t\)

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Please help me on this and I will give you BRIANLEIST-Thank You ^ ^

Please help me on this and I will give you BRIANLEIST-Thank You ^ ^

Answers

Answer: 1/7 is the answer

Part A - Using Metric Units
Complete each statement using the appropriate metric unit. Before you begin, you may wish to watch the video Metric Units, Part 1.
Drag the appropriate labels to their respective targets. You may use the same label more than once, and not all labels will be used.
My friend is 2 METERS tall.
My water bottle has a volume of 1.5 LITERS.
My thumb is 2 CENTIMETERS wide.
I bought 3 KILOGRAMS of apples at the store.
A penny weighs about 3 GRAMS.
I can run 60 METERS in 10 seconds.

Answers

The combination of meters (m) and seconds (s) is used to measure speed or distance.

Here are the completed statements using the appropriate metric units: My friend is 2 METERS tall. My water bottle has a volume of 1.5 LITERS. My thumb is 2 CENTIMETERS wide. I bought 3 KILOGRAMS of apples at the store. A penny weighs about 3 GRAMS. I can run 60 METERS in 10 seconds. Explanation: Meters (m) is the metric unit used to measure length or height. Liters (L) is the metric unit used to measure volume or capacity. Centimeters (cm) is the metric unit used to measure small distances or widths.

Kilograms (kg) is the metric unit used to measure mass or weight. Grams (g) is a smaller metric unit used to measure mass or weight. The combination of meters (m) and seconds (s) is used to measure speed or distance. These metric units provide standardized measurements that are widely used across the world, making it easier to communicate and compare quantities.

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The box that kite came in is a rectangular prism with dimensions of 20 1/2 inches by 9 1/2 inches by 2 inches

Answers

The volume of a rectangular prism can be found by multiplying its length, width, and height. In this case, the box that the kite came in has dimensions of 20 1/2 inches by 9 1/2 inches by 2 inches.

To find the volume of the box, we can convert the dimensions to decimals and multiply them:

Volume = length x width x height
Volume = 20.5 inches x 9.5 inches x 2 inches
Volume = 388.75 cubic inches

Therefore, the volume of the box that the kite came in is 388.75 cubic inches.

p is a plane in r3. its equation is: x 4y − 3z = 0. this plane is the nullspace of what matrix a ? find the basis for the nullspace of a. find the basis for the line p⊥ that is perpendicular to p.

Answers

The vector [1, 1, 1]ᵀ as it is symmetrical to the ordinary vector. Thus, "[1, 1, 1]T" serves as the foundation for the line p.

We can rewrite the plane's equation as a matrix equation to find the matrix A whose nullspace matches the given plane. The plane's equation is as follows:

x - 4y + 3z = 0

We can revise it in lattice structure as:

Where [A] is a 1x3 matrix and [x, y, z]T is a column vector, [A] = [0]. The rows of the matrix [A] will serve as the equation's coefficients for x, y, and z due to the equation's homogeneity and linearity.

As a result, matrix A is:

[A] = [1, -4, 3] We must solve the equation A * x = 0, where x is a column vector, in order to determine the nullspace's basis. For this situation, we really want to address:

We can represent it as a system of equations: [1, -4, 3,] [x, y, z]T = [0].

x - 4y + 3z = 0

To track down the reason for the nullspace, we settle the arrangement of conditions and express the arrangement concerning boundaries. Let's figure out the system:

x = 4y - 3z

Picking y = t (a boundary), we can revamp the arrangement as:

The nullspace of matrix A is spanned by the vector [4, 1, 1]T, so "[4, 1, 1]T" serves as the foundation for the nullspace of A. Since x = 4t, y = t, and z = t,

Presently, to find the reason for the line p⊥ that is opposite to p, we know that any vector in p⊥ is symmetrical to any vector in p. Hence, the reason for p⊥ can be found by finding a vector that is symmetrical to the ordinary vector of p (which is [1, - 4, 3]ᵀ).

We can pick the vector [1, 1, 1]ᵀ as it is symmetrical to the ordinary vector. Thus, "[1, 1, 1]T" serves as the foundation for the line p.

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Please helppp pleassee

Please helppp pleassee

Answers

Answer: 80 Fluid Oz

Step-by-step explanation:

I first have to find out how many fluid Oz there are in one bottle. If there are 16 Oz in 2 bottles, I have to divide 16/2=8. Now I know there are 8 Oz in each bottle. Now I have to multiply 8 by 10. 10*8=80. There is 80 Oz all together.

Hope this helps! :)

80oz because if you use math jk just believe me

what is the answer for a and b

what is the answer for a and b

Answers

Using equations,

a. We can find that the required equation is p = 32n.

b. Also, Frankie reads 256 pages in 8 nights.

Define equations?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14. Algebraic equations in mathematics frequently have one or more variables.

As per the question,

a.

Frankie reads 32 pages of a book each night.

Number of pages = p

Number of nights = n

So, our equation will be:

p = 32 × n

⇒ p = 32n

b.

Now, we need to find how many pages Frankie reads in 8 nights:

n = 8

p = 32n

= 32 × 8

= 256

Therefore, Frankie reads 256 pages in 8 nights.

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Two angles of a triangle measure 12 degrees and 40 degrees. What is the measurement of the third angle of the triangle

Answers

Answer:

128

Step-by-step explanation:

A triangle's angles must add up to 180 degrees, so 180 = 40 + 12 + x which is the same as 180 - 40 - 12 = x

x = 128

Answer: 128 degrees

Step-by-step explanation:

A triangle has sides of lengths 12, 14, and 19. Is it a right triangle?

Answers

Answer:

a^2 + b^2 = c^2

C should equal to the longer side, which would be 19.

Plug in other two numbers for A and B.

12^2 + 14^2 = 19^2

Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle.

144 + 196 = 361

340 = 361

It's not a right triangle.

Step-by-step explanation:

Because I know it.  Can You mark me as a brainliest?

Find the volume of this square
based pyramid.
10 in
12 in
[ ? ]

Find the volume of this squarebased pyramid.10 in12 in[ ? ]

Answers

Answer:

480 in.^3

Step-by-step explanation:

volume of pyramid = (1/3) * (area of base) * height

Since this pyramid has a square for the base, the area of the base is

A = s^2, where s = length of the side of the square

volume = (1/3) * s^2 * h

volume = (1/3)(12 in.)^2 * (10 in.)

volume = (1/3)(144)(10) in.^3

volume = 480 in.^3

The volume of the square-based pyramid is 480 cubic inches as per the concept of the pyramid.

To find the volume of a square-based pyramid, we can use the formula:

Volume = (1/3) x base area x height.

In this case, the base of the pyramid is a square with a side length of 12 inches, and the height of the pyramid is 10 inches.

First, we calculate the base area of the pyramid, which is the area of the square base:

Base area = side length x side length

                = 12 in x 12 in

                = 144 square inches.

Now, we can substitute the values into the volume formula:

\(Volume = \frac{1}{3} \times 144 \times 10\).

Multiplying these values, we get:

\(Volume = \frac{1}{3} \times1440 {in}^3\)

Simplifying the expression, we have:

\(Volume = 480\ in^3\).

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Parent functions ( there is also a option D but I couldn’t fit it into the photo, so of none of these make sense I’ll know what the answer is )!

Parent functions ( there is also a option D but I couldnt fit it into the photo, so of none of these

Answers

Hello,

well I guess the correct answer is D

you can see the correct graph below

for all x<1 this is the line y = 1

and then this is the line defined by y = x

hope this helps

Parent functions ( there is also a option D but I couldnt fit it into the photo, so of none of these

I
need the details why we choose answer c
109) Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation? A) 425 B) 442 C) 440 D) 475 A

Answers

The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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The diameter of a circle is 4 m. Find its area to the nearest tenth.

Answers

Answer:

12.6m²

Step-by-step explanation:

radius=2

Area=π2²=12.6(1dp)

The guy above is right but didn’t round it off. It’s 13 instead of 12.6


One fifth of the runs made in a cricket match
were extras. How many runs did the batsmen
actually make if 275 runs were scored?​

Answers

Answer:

akjnajknlkicea

Step-by-step explanation:

two boys decided to share their profits from a car wash job at a ratio of 2:3 how much will each boy receieve if their total profit is 35

Answers

Answer: Profit for first boy =  $14

Profit for second boy =  $21

Step-by-step explanation:

Given : Ratio of profits = 2:3

Let profit for one boy = 2x and for another boy = 3x

Since combined profit = $35

Then, 2x+3x= 35

⇒ 5x= 35

⇒ x= 7  [divide both sides by 5]

Profit for first boy = 2 (7)= $14

Profit for second boy = 3 (7)= $21

( 20 points)
Solve 2(x + 1) = 2x + 5

1) all real numbers
2) no solution
3) 0
4) 3

(9th grade Algebra 1)

Answers

Answer:

No solutions

Step-by-step explanation:

First, distribute on the left side of the equation:

2 ( x + 1 ) = 2x - 5

2x + 2 = 2x - 5

Subtract 2x from each side:

2x + 2 = 2x - 5

2 = -5

Add 5 to each side:

2 = -5

7 = 0

7 ≠ 0

There are no solutions

Hii :))

\( \tt \: 2(x + 1) = 2x + 5 \\ \tt \: 2x + 2 = 2x - 5 \\ \tt \: 2x - 2x = - 5 - 2 \\ \underline {\underline{\tt \: 0 \: \bcancel{=} \: 7x}}\)

Since LHS isn't equal to RHS, the equation will have 2) no solution.

__________________

\(\overbrace{ \underbrace{ \mathfrak{ \: \infty \: Carry \: on \: Learning \: \infty }}}\)

ᴛʜᴇᴇxᴛʀᴀᴛᴇʀᴇꜱᴛʀɪᴀʟ

Find (2x + y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

Answers

The value of the expression (2x + y)dA over the region D = {(x, y) | x² + y² ≤ 25, x ≥ 0} is 575/6.

To find the value of the expression (2x + y)dA over the region D = {(x, y) | x² + y² ≤ 25, x ≥ 0}, we need to evaluate the double integral of (2x + y) over the region D.

In polar coordinates, the region D can be expressed as 0 ≤ θ ≤ π/2 and 0 ≤ r ≤ 5. Therefore, the double integral becomes:

∬D (2x + y) dA = ∫[0 to π/2] ∫[0 to 5] (2r cosθ + r sinθ) r dr dθ

Now, let's evaluate this double integral step by step:

∫[0 to π/2] ∫[0 to 5] (2r cosθ + r sinθ) r dr dθ

= ∫[0 to π/2] [(2 cosθ) ∫[0 to 5] r^2 dr + (sinθ) ∫[0 to 5] r dr] dθ

= ∫[0 to π/2] [(2 cosθ) (1/3) r^3 |[0 to 5] + (sinθ) (1/2) r^2 |[0 to 5]] dθ

= ∫[0 to π/2] [(2 cosθ) (1/3) (5^3) + (sinθ) (1/2) (5^2)] dθ

= (1/3) (5^3) ∫[0 to π/2] (2 cosθ) dθ + (1/2) (5^2) ∫[0 to π/2] (sinθ) dθ

= (1/3) (5^3) [2 sinθ |[0 to π/2]] + (1/2) (5^2) [-cosθ |[0 to π/2]]

= (1/3) (5^3) (2 - 0) + (1/2) (5^2) (0 - (-1))

= (1/3) (125) (2) + (1/2) (25) (1)

= (250/3) + (25/2)

= (500/6) + (75/6)

= 575/6

Therefore, the value of the expression (2x + y)d A over the region D is 575/6.

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Why math is important for student like us?

Answers

Given: A statement, "Why math is important for students like us".

Required: To give the reason for the given statement.

Explanation: There are several reasons for the given statement. Maths is important for students as it is the basis of several other subjects such as Physics, Business Studies, Programming, etc. Practicing math is a critical part of developing good problem-solving skills. It helps students identify and solve problems. It teaches them how to arrive at a solution to a problem by considering different factors and approaching it from various perspectives.

Besides the academic aspect, maths is also an important factor in our daily problems.

Final Answer: The importance of math is at every step of a student's life.

HELP THIS IS DUE TODAY
(-9-√-32)-(2+√-8)

Answers

Answer:

\(-11-6i\sqrt{2}\)

----------------------------------------------------

Simplify the expression:

\((-9-\sqrt{-32} )-(2+\sqrt{-8} )=\)\((-9-\sqrt{-1*2*16} )-(2+\sqrt{-1*2*4} )=\)\((-9-4i\sqrt{2} )-(2+2i\sqrt{2} )=\)\(-9-4i\sqrt{2} -2-2i\sqrt{2} =\)\(-11-6i\sqrt{2}\)

Answer:

\(-11-6\sqrt{2}\:i\)

Step-by-step explanation:

Given expression:

\(\left(-9-\sqrt{-32}\right)-\left(2+\sqrt{-8}\right)\)

Remove the parentheses:

\(\implies -9-\sqrt{-32}-2-\sqrt{-8}\)

Rewrite -32 as 16 · 2 · -1  and rewrite -8 as 4 · 2 · -1 :

\(\implies -9-\sqrt{16 \cdot 2\cdot -1}-2-\sqrt{4 \cdot 2\cdot -1}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies -9-\sqrt{16} \sqrt{2} \sqrt{-1}-2-\sqrt{4}\sqrt{2}\sqrt{-1}\)

Simplify and apply the imaginary number rule √(-1) = i

\(\implies -9-4\sqrt{2}\:i -2-2\sqrt{2}\:i\)

Group like terms:

\(\implies -9-2-4\sqrt{2}\:i -2\sqrt{2}\:i\)

Combine like terms:

\(\implies -11-6\sqrt{2}\:i\)

The graph of f(x)= x is translated 3 units down to form the graph of g(x). Which of the following is g(x)
Answers :
A: g(x)= -3x
B: g(x)= 3x
C: g(x)= x - 3
D: g(x)= x + 3

The graph of f(x)= x is translated 3 units down to form the graph of g(x). Which of the following is

Answers

Answer:

I'll edit the answer and try to answer it, but where is the graph?

Answer:

C: g(x)= x- 3

Step-by-step explanation:

translated 3 units down means you go 3 down on the y-axis. Therefore it is g(x)= x-3

A chord which passes through the centre is called · A. radius · B. diameter · C. arc · D. none

Answers

Answer:

It would be a diameter

Step-by-step explanation:

The diameter is also a chord.

which is a function? {(8,9),(−2,9),(7,5),(−4,−7)} {(−5,−7),(−5,4),(−2,−8),(3,5)} {(8,0),(−4,−2),(7,1),(0,0)} {(−8,3),(−5,−7),(−4,5),(9,3)}

Answers

Answer:

     All but the second                   {(8,9),(−2,9),(7,5),(−4,−7)}                   {(8,0),(−4,−2),(7,1),(0,0)}                   {(−8,3),(−5,−7),(−4,5),(9,3)}

Step-by-step explanation:

Function means that for each x we get y, and no no x gives two different y-es

{(−5,−7),(−5,4),(−2,−8),(3,5)}  for x = -5 we have two different y-es therefore its not function

For the f-test, if the p-value is less than the level of
significance (usually 0.05), then
Group of answer choices
fail to reject the null hypothesis
use an equal variance t-test
use unequal variance t-test
use equal variance t-test

Answers

If the p-value in the F-test is less than the chosen level of significance (usually 0.05), the correct action is to reject the null hypothesis.

In statistical hypothesis testing using the F-test, the null hypothesis assumes that the variances of the populations being compared are equal. The alternative hypothesis suggests that the variances are not equal. The F-test compares the ratio of the variances of two samples to determine if they are significantly different.

When conducting the F-test, the obtained p-value is compared to the chosen level of significance. If the p-value is less than the significance level (usually set at 0.05), it indicates that the observed difference in variances is statistically significant. Therefore, we reject the null hypothesis, concluding that the variances are indeed unequal.

Thus, when the p-value is less than the significance level, the correct action is to reject the null hypothesis, as the data provides evidence of unequal variances between the compared populations.

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