Which of the following does NOT represent a way to determine if something is a function or not.

Statistics are used to make estimates of population parameters. Therefore, the correct option is B.

Statistics are used for various purposes in data analysis. One important application of statistics is to make estimates of population parameters. Population parameters are characteristics or measures that describe an entire population. However, it is often impractical or impossible to collect data from the entire population, so statistics provide methods for estimating these parameters based on a sample of the population.

By collecting and analyzing data from a sample, statisticians can make inferences and draw conclusions about the larger population. These estimates help researchers understand the characteristics, patterns, and relationships within the population.

Additionally, statistics form the basis for analysis in many fields, including scientific research, business, social sciences, and more. They provide tools and techniques to summarize, interpret, and draw meaningful insights from data, enabling researchers and decision-makers to make informed choices and draw valid conclusions from their observations and experiments.

Therefore, the correct choice is option b. Statistics play a crucial role in estimating population parameters and providing insights for analysis and decision-making.

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Answer:

g(x) = 2x-8

Step-by-step explanation:

To translate down

y = f(x) + C   C < 0 moves it down

So we need to subtract 2 from the function

f(x) -2

f(x) = 2x-6  -2

f(x) = 2x-8

The new function is 2x-8

Answer:

Fx=2x-6. Fx/x=2x-6/x. F=2x-6/x answer: f=2x-6/x

So it D

Step-by-step explanation: Hope this help

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{8 +6}{-3} \implies \cfrac{ 14 }{ -3 } \implies - \cfrac{14 }{ 3 }\)

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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The best estimate for the probability of getting tails is given as follows:

C Sue's estimate is best because she throws it more times than Eric.

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

For this problem we calculate an experimental probability, as the outcomes are obtained from the previous trials of Eric and Sue.

The higher the number of trials, the closer the experimental probability is to the theoretical probability, meaning that the correct option is given by option C.

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Answer:

840

Step-by-step explanation:

7000×2×6 ÷ 100. since it is 2%

= 840

Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.

The time taken by the car to fall from the cliff can be found using the formula:

\(`h = (1/2) g t^2`\)

Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.

Substituting the given values,`20 = (1/2) × 9.8 × t^2`

Solving for t, `t = sqrt(20/4.9)` = 2.02 s

Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.

Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`

Where s is the distance covered by the car before coming to rest.

Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)

Substituting the given values,`5 = V0 - 5 t1`

Solving the above two equations,\(`V0 = 32.5/2 t1`\)

Simplifying the above equation,`V0 = 16.25 t1`

Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)

Therefore, the speed of the car before the start of braking is 32.5 m/s.

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Answer: 2.04

Step-by-step explanation: Hundreth is second from the decimal place on the right so you would remove the 7 since that is the thousandth.

You round up since th e next number 7, is a number you round up and not down

Answer:

9.4 is your answer, i need to write more and i dont know why

The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

15%

Step-by-step explanation:

Given that,

Initial earning is $20 for each lawn and this summer she raised her price to $23 per lawn. We need to find the percent increase of peggy's charges. It can be given by :

\(P=\dfrac{|\text{initial-final}|}{\text{initial}}\times 100\)

Putting the values in above formula, we get :

\(P=\dfrac{|20-23|}{20}\times 100\\\\P=15\%\)

So, there is 15% increase in the peggy's charges.

Answer:

15%

Step-by-step explanation:

Hope thhis helps!!!

The equation when solved for b gives ± 7√a/3. Option C

Algebraic expressions are defined as expressions that are composed of terms, variables, constants, coefficients and factors.

They are also composed of arithmetic operations, such as;

From the information given, we have;

9ab² = 49

To determine the value of b, take the following steps

Divide both sides by 9a

b² = 49/9a

Now, find the square root of both sides, we have;

b = \(\sqrt{\frac{49}{9a} }\)

b = ± 7√a/3

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Answer:

Below

Step-by-step explanation:

See image below

The composite function f(g(4)) has a value = 182, given f(x) = x² + x, and g(x) = 3x + 1.

What is the combination of functions?

f(g(x)) or (f ∘ g)(x) represents the aggregate of functions f(x) and g(x), wherein g(x) acts first. It is a function that combines more functions to supply some other function. The output of one function inside the parenthesis will become the input of the outer function in composite functions. i.e.,

g(x) is the input of f(x) in f(g(x)).

f(x) is the input of g(x) in g(f(x)).

We are given functions:

f(x) = x² + x

g(x) = 3x + 1

We are asked to discover the value of the composite function f(g(4)).

We first discover the value of g(4) with the aid of using substituting x = 4 in g(x).

∴ g(4) = 3(4) + 1 = 12 + 1 = 13.

Now, we use the value of g(4) = 13, in f(x) to compute the value of f(g(4)).

∴ f(g(4)) = f(13).

To discover f(13), we substitute x = 13 in f(x)

∴ f(13) = 13² + 13 = 169 + 13 = 182.

∴ The composite function f(g(4)) = 182, given f(x) = x² + x, and g(x) = 3x + 1.

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Step-by-step explanation:

Use conditional probability.

P(A given B) = P(A and B) / P(B)

P(instrument given freshman) = P(instrument and freshman) / P(freshman)

P(instrument given freshman) = 0.10 / 0.30

P(instrument given freshman) = 0.33

Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem (\(a^{2}+b^{2}=c^{2}\)) to find the length of MP.

Given:

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

To Solve:

Since we know two values of the triangle, you can use the Pythagorean Theorem (\(a^{2}+b^{2}=c^{2}\)) to find what the other value is. The variables c and b in the formula are already given, and we need to find what a is to find the length of MP. So, plug the given values of c and b into the formula:

\(a^{2}+4^{2}=7^{2}\)

Simplify:

\(a^{2}+16=49\)

Subtract 16 from both sides of equation:

\(a^{2}=33\)

Do the square root of both sides to isolate the variable a:

\(\sqrt{a^{2}}=\sqrt{33}\)

Evaluate:

\(a=\sqrt{33}\)  Which simplifies to \(a= 5.744562646....\) and round it to the nearest tenth to finally get \(a=5.7\)

Answer: The length of MP is 5.7 units

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

Look at the first image below ↓

Description of the first image:

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side b of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side c) is 13cm because it’s the length of the radius. And side a is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side a, you need to add the length of the radius (which is 13cm) to the length of side a because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

Total information given:

⇒ radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

⇒ length of the surface where the water’s filled = 20cm

⇒ hypotenuse (side c) = 13cm  – because it’s the length of the radius

⇒ side b = 10cm  – because it’s half the length of the surface where the water’s filled

To Solve

Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  (\(a^{2}+b^{2}=c^{2}\)) to find the missing length of side a. Plug the given values of c and b into the formula:

\(a^{2}+10^{2}=13^{2}\)

Simplify:

\(a^{2}+100=169\)

Subtract 100 from both sides of the equation:

\(a^{2}=69\)

Do the square root of both sides to isolate the variable a:

\(\sqrt{a^{2}}=\sqrt{69}\)

Evaluate:

\(a=\sqrt{69}\)  Which simplifies to \(a= 8.30662386....\)  and round it to the nearest tenth to finally get \(a\) ≈ \(8.3\)

This means that 8.3 is just the length of side a, which is the length between the surface of where the water’s filled and the center of the circle. But, now you need to add 13 to 8.3 to find the total depth of the water because the length of the radius is included with the depth of the water.

So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! :)

Answer:

A

Step-by-step explanation:

Answer:

$364.93

Step-by-step explanation:

The accrued value of a principal using compound interest is given by:

\(A = P(1 + r)^t\\\)

where

compounding is done annually and

P = principal

r = annual interest rate as a decimal

t = number of years

Given
P =  $4427
r = 2 = 0.02

t = 4 years

A = 4,427.00(1 + 0.02)⁴

A = 4427(1.02)⁴

A = $4,791.93

Interest earned = A- P =  $4,791.93 -   $4,427.00 = $364.93

Easy s pie

Answer:

you are subtracting 1.40 everytime to get the number at the bottom

Step-by-step explanation:

2 - 1.40 = 1.40

3 - 1.40 = 2.40

6 - 1.40 = 5.40

7 - 1.40 = 6.40

Answer:x= 49°

Step-by-step explanation:

If the perimeter and area of the hexagon are $p$ and $a$, respectively, the value of $\frac{p^4}{a^2}$ is 192.

Regular hexagon has side length of 6

Perimeter of regular hexagon is given by 6*(side)

∴Perimeter = 6*(6) = 36

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

Area of Regular hexagon is composed of 6 equilateral triangles and is given by,

= 6* (1/2)*6² * √3/2

= 3√3/2 * 36

= 54√3

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So fraction \(\frac{p^4}{a^2}\) = \(\frac{36^4}{(54\sqrt{3})^2 } = \frac{36*36*36*36}{54*54*3}\)  =192.

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The graph of a translated exponential function is shown below. Its parent function is y = 4x.?

The function has been translated down 3 units and right 2 units. The equation of the graphed function is

.. y = -3 +4^(x -2)

If the graph is asymptotic to y = -3 and contains the points (2, -2) and (3, 1), what is the equation of the function?

i don`t know the answer to this one tho,very sorry

Answer:

y = \(4^{x - 2}\) - 3

Step-by-step explanation:

Answer:

(3,8)

Step-by-step explanation:

I'm too lazy to type

Hope this photo helps you. (tap to view)

The statement that significant figures include only the certain digits of a measurement is False

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

Statement: significant figures include only the certain digits of a measurement

The above statement is false

This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.

The addiitonal uncertain digit implies that the statement is false

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Using stem-and-leaf plot, Option (d) choices include 13, 14, 16, 21, 22, 28, 29, 30, 32, 34, 34, and 45.

To display numerical data, a stem and leaf plot separates each data point into a "leaf" (typically the last digit) and a "stem" (the leading digit or digits).

Stem and leaf plot in this query

1 ∣ 3 4 6

2 ∣ 1 2 8 9

3 ∣ 0 2 4 4

4 ∣ 5

Key: 1 | 3 equals 13.

Slice the leaf and stem -

1 | 3, 1 | 4, 1 | 6, 2 | 1, 2 | 2, 2 | 8, 2 | 9, 3 | 0, 3 | 2, 3 | 4, 3 | 4, 4 | 5

You'll see the selection every option that fits the data (d)

Consequently, the response will be 13, 14, and 16,  21, 22, 28, 29, 30, 32, 34, 34, 45

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The growth rate of a bacterial colony after a 2 hours  is given by the derivative of its population function with respect to time is 36 .

The growth rate of a bacterial colony is given by the derivative of its population function.

Thus, we need to find the derivative of the population function p(t) with respect to time t, and then evaluate it at t = 2 to get the growth rate after 2 hours.

p(t) = 3t² + 24t + 200

Taking the derivative of p(t) with respect to t, we get:

p'(t) = 6t + 24

Now, evaluating p'(t) at t = 2, we get:

p'(2) = 6(2) + 24 = 36

Therefore, the growth rate of the bacterial colony after 2 hours is 36.

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Answer:

Step-by-step explanation:

this is were they should go