help i’m making brainliest if CORRECT.

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Answer:

Given information :

\(f(x) = 2x^2-2x+7\\g(x) = x^2+9x-6\)

Find f(x) - g(x)

\(f(x)-g(x) = (2x^2-2x+7) - (x^2+9x-6)\)

Distribute the negative to the second polynomial

\(f(x)-g(x)=2x^2-2x+7 -x^2 -9x + 6\)

optional : rearrange the terms

\(f(x)-g(x)=2x^2-x^2-2x-9x+7+6\)

Combine like terms and find f(x) - g(x)

\(f(x)-g(x) = x^2 - 11x + 13\)

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

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Answer:

3 . 2

4. 3

Step-by-step explanation:

The equation representing total cost of the shirt is c = 1.06p.

As per the question, we are representing the total cost of the shirt as c and price of the shirt as p.

Calculating sales tax on the shirt -

Sales tax = p × 6%

Converting percentage to fraction and hence decimal form

Sales tax = p× 6/100

Sales tax = 0.06p

Forming the equation now -

Total cost = price of the shirt + sales tax on the shirt

c = p + 0.06p

Performing addition on Right Hand Side of the equation to find the equation representing total cost

c = 1.06p

Therefore, the equation representing the total cost of the shirt is c = 1.06p.

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When a triangle is rotated, it must be rotated through a center.

The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)

The triangle is given as: triangle ABC.

And the degree of rotation is 90 degrees clockwise.

Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.

And the orientation would point to the right of point P.

Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).

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Answer:

you would put a full dot on 7 and make an arrow going to the left

Step-by-step explanation:

Answer:

A solid dot over the 8 with the arrow going to the left

Step-by-step explanation:

56/8=7

The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

C:2 gallons per minute

Step-by-step explanation:

Answer:

The answer is two gallons per minute.

Step-by-step explanation:

The gallons are always double the minutes. This means that there are 2 gallons per minute.

Answer:

80°

Step-by-step explanation:

Apply vertically opposite angles,

∠BEC = ∠GEA = 8x°

∠GEC = ∠BEA = (4x+60°)

To find x, apply angles at a point,

8x + 8x + (4x+60°) + (4x+60°) = 360°

16x + 2(4x+60°) = 360°

16x + 8x + 120° = 360°

24x = 240

x = 10

To find ∠BEC (8x°),

8 × 10 = 80°

A minimum sample size of 601 voters is needed to estimate the population proportion of voters who would vote for the incumbent governor with a margin of error of 0.08 or less at a 95% confidence level.

To determine the minimum sample size needed to estimate the population proportion with a margin of error of 0.08 or less at 95% confidence, we need to use a formula called the sample size formula. The formula is as follows:

n = (Z² × p × q) / E

Where n is the sample size, Z is the z-score corresponding to the confidence level (1.96 for 95% confidence level), p is the estimated proportion of voters who would vote for the incumbent governor, q is the complement of p (1-p), and E is the desired margin of error (0.08).

Assuming we do not have any prior information about the proportion of voters who would vote for the incumbent governor, we can use a conservative estimate of 0.5 for p and q. Substituting the values into the formula, we get:

n = (1.96² × 0.5 × 0.5) / 0.08²
n = 600.25

Rounding up to the nearest whole number, we need a minimum sample size of 601 voters to estimate the population proportion with a margin of error of 0.08 or less at 95% confidence.

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Population parameters are used to estimate sample statistics, and this is true.

Population parameters are used to describe the characteristics of a population, such as the mean, median, and standard deviation, and are used to make inferences about a population. Sample statistics, on the other hand, are used to describe the characteristics of a sample of a population. For example, a sample statistic could be the mean of a sample of people's heights.

To estimate sample statistics, population parameters must first be known. For example, the sample mean can be estimated using the population mean. If the population means are unknown, then the sample means can be estimated using the sample mean.

In conclusion, population parameters are used to estimate sample statistics, and this is true. Population parameters provide useful information about a population that can be used to make inferences about a sample. Knowing the population parameters allows researchers to make more accurate estimates of sample statistics, which in turn can be used to make more reliable inferences about a population.

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We are given with a function y and need to find dy/dx or the first Derivative of y w.r.t.x , but let's recall

Now consider :

\({:\implies \quad \sf y=e^{x}-\dfrac{1}{x}+log_{e}x}\)

Differentiating both sides w.r.t.x

\({:\implies \quad \sf \dfrac{d}{dx}(y)=\dfrac{d}{dx}\bigg\{e^{x}-\dfrac{1}{x}+log_{e}x\bigg\}}\)

\({:\implies \quad \sf \dfrac{dy}{dx}=\dfrac{d}{dx}(e^x)-\dfrac{d}{dx}\left(\dfrac{1}{x}\right)+\dfrac{d}{dx}(log_{e}x)}\)

\({:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-\dfrac{d}{dx}(x^{-1})+\dfrac{1}{x}}\)

\({:\implies \quad \sf \dfrac{dy}{dx}=e^{x}-(-1)(x)^{-1-1}+\dfrac{1}{x}}\)

\({:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+(x)^{-2}+\dfrac{1}{x}}\)

\({:\implies \quad \sf \dfrac{dy}{dx}=e^{x}+\dfrac{1}{x^{2}}+\dfrac{1}{x}}\)

Simplifying will yield

\({:\implies \quad \bf \therefore \quad \underline{\underline{\dfrac{dy}{dx}=\dfrac{e^{x}x^{2}+x^{2}+x}{x^{2}}}}}\)

This is the required answer

The best option for simulating a fair coin toss using a random digit table is to choose the first 10 digits in the table and record the number of heads and tails based on specific digit assignments.

In this case, let the digits 0, 1, 2, 3, 4, and 5 represent heads, while digits 6, 7, 8, and 9 represent tails. This approach ensures a balanced representation of both outcomes and maintains fairness in the simulation.

By continuing to choose batches of 10 digits from the random digit table, a total of 100 times, one can record the number of heads and tails. This method allows for a larger sample size, increasing the accuracy of the simulation. It is important to note that the random digit table should be truly random, ensuring unbiased results.

Using this approach provides a reliable way to simulate a fair coin toss, as it mimics the randomness and equal likelihood of heads and tails in an actual coin toss.

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It should cut into

2 ne t is accurate

Answer:

A)  net A

B) AB = 3 in    BC = 5 in    CD = 8.6 in

C) 106.6 in²

Step-by-step explanation:

Part A:  

Part B:

From inspection of the diagram:

Part C:

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Surface area = 2(4 x 8.6) + (3 x 8.6) + 2(1/2 x 4 x 3)

                     = 68.8 + 25.8 + 12

                     = 106.6 in²

Answer:

The probability of the pointer landing on yellow is equal to the probability of the pointer landing on red

Answer:

Infinite

Step-by-step explanation:

ANY line segment can have INFINITE bisectors crossing it

The cash value of the lease is approximately $16,017.10.

To find the cash value of the lease, we can use the formula for the present value of an annuity:

PV = PMT * [(1 - \((1 + r/n)^{-nt})\) / (r/n)]

Where:

PMT = Payment amount per period ($1,380.00)

r = Annual interest rate (12% or 0.12)

n = Number of compounding periods per year (semi-annually, so n = 2)

t = Number of years (13 years)

Substituting the values into the formula:

PV = 1380 * [(1 - \((1 + 0.12/2)^{-2*13})\) / (0.12/2)]

First, let's simplify the exponent:

PV = 1380 * [(1 - (1 + 0.06)⁻²⁶) / 0.06]

Next, let's evaluate the term inside the parentheses:

PV = 1380 * [(1 - 1.06⁻²⁶) / 0.06]

Now, calculate the exponent:

PV = 1380 * [(1 - 0.303216) / 0.06]

Subtract inside the brackets:

PV = 1380 * [0.696784 / 0.06]

Divide:

PV = 1380 * 11.613067

Finally, multiply:

PV ≈ $16,017.10

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The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

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Answer:

domain { -9,1,3,8)

range{ -2,1,2,8}

Step-by-step explanation:

The domain is the inputs

Domain = 3,8,-9,1

We write them in the order from smallest to largest

domain { -9,1,3,8)

The range is the outputs

Range  = -2,1,2,8

We write them in the order from smallest to largest

range{ -2,1,2,8}

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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The temperature at 6 pm is given as follows:

-40.2 ºF.

To obtain the temperature at 6 pm, we keep looking at the temperature for each interval given in the problem.

At 9 am, the temperature is given as follows:

-10.2ºF.

Between 9am and noon, the temperature rose 1.9°F, hence the temperature at noon is given as follows:

-10.2 + 1.9 = -8.3ºF.

Between noon and 3pm, the temperature dropped 16.4°F, hence the temperature at 3 pm is given as follows:

-8.3 - 16.4 = -24.7ºF.

Between 3pm and 6pm, the temperature dropped 15.5°F, hence the temperature at 6 pm is given as follows:

-24.7 - 15.5 = -40.2 ºF.

(subtracting the decline from the previous temperature, as we did for previous intervals).

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The domain and range of the relation are-

The range of values which we are permitted to enter into our function is known also as domain of a function.

The relation is given as:  {(2, –4), (–2, 4), (2, 5), (5, –1), (–1, 5)}.

Thus, by the definition of domain and range-

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Therefore, about 83 percent of the population would have an IQ score higher than 86.

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Answer:

$3

Step-by-step explanation:

$9.25/2.8

= $3.3035714285

= $3 (rounded to the nearest whole number)

Hope this helped!

u is in the plane spanned by the columns of A.

What is System of linear equations?

A system of equations is a collection of one or more equations with several variables. The variable mappings that satisfy all component equations—that is, the places where all of these equations intersect are the solutions of systems of equations.

Yes, u is in the plane in R3 spanned by the columns of A. The fact that the last row of the reduced matrix is [0 0 0] doesn't necessarily mean that u is not in the plane spanned by the columns of A. It only means that the system of linear equations represented by the matrix has no non-trivial solution.

In this case, u being in the plane spanned by the columns of A means that u can be written as a linear combination of the columns of A. This can be confirmed by solving the following system of linear equations:

3x - 5y + z = 0

-2x + 6y + z = 4

x + y + z = 4

Since there is a solution x = 1, y = 2, z = 1, it means that u can be written as a linear combination of the columns of A, and therefore u is in the plane spanned by the columns of A.

Hence, u is in the plane spanned by the columns of A.

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Answer:

3/4=21/28

Step-by-step explanation:

21/28÷7/7=3/4

Answer 3/4 and 21/28

The area of the region d is 1 square unit.

Given that the region d is bounded by y=x^3, y=x^3+1.The area of the region d can be calculated using a double integral. We know that the area is given by A= ∬d dA.

Here, dA is the differential area element, which can be represented as dA=dxdy.

We can write the above equation asA= ∫∫d dxdy. From the given bounds, we know that the limits of integration for y are x^3 to x^3+1, and for x, the limits are from 0 to 1.

\(Thus,A= ∫0^1∫x³^(x³+1) dxdy.\)

Now, we can perform the integration with respect to x and then with respect to y.

\(A= ∫0^1 [(x³+1)-(x³)] dy= ∫0^1 (1) dy= 1\)

The required area is 1 square unit.

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