PLEASE HELP QUICK 50 POINTS!!!!!! WILL MARK BRAINLIEST IM BEGGING PLEASE I DONT UNDERSTAND IT

The estimate of the maximum error is approximately 0.1375.

To estimate the maximum possible error resulting from rounding, we need to consider the rounding error for each individual number in the sample. Since the numbers are rounded to the first decimal place, the maximum possible rounding error for each number is 0.05.

To estimate the maximum error in the computed answer, we need to find the sum of the squares of the rounded numbers and compare it with the sum of the squares of the original numbers.

Let's denote the original numbers as\(x_1, x_2, ..., x_n\), and the rounded numbers as\(y_1, y_2, ..., y_n.\)

The maximum possible error can be estimated as follows:

Find the difference between the sum of the squares of the rounded numbers and the sum of the squares of the original numbers:

\(Δ = (y1^2 + y2^2 + ... + yn^2) - (x1^2 + x2^2 + ... + xn^2)\)

Since each rounded number has a maximum rounding error of 0.05, the difference for each number can be at most \(0.05^2 = 0.0025.\)

Since we have 55 numbers in the sample, the maximum possible error would be 55 * 0.0025 = 0.1375.

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Answer:

11.59x² -7.66x + 9.85

Step-by-step explanation:

3.63x² - 4.54x + 7.96x² +9.85 -3.12x​

11.59x² -7.66x + 9.85

i'm pretty sure its 11.59x2−7.66x+9.85

No, nominal data is not rank ordered.

Nominal data, also known as categorical data, is a type of data that is used to label and classify groups of items based on characteristics and attributes.

It does not involve any measurement or numerical value and typically does not follow any order.

Nominal data is not measured in any way, so it does not have a ranking system.

In contrast, data that is rank-ordered, such as ordinal data, is measured and can be ranked from lowest to highest.

If you had a list of test scores from a group of students, the scores would be rank-ordered from lowest to highest.  

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Answer:

(-4,-2,2)

Step-by-step explanation:

The range of the relation R is {-4, -2, 2}.

Correct option is 4.

It is seen to be the best practice to define the word "range" the first time it is used in a book or article because it might have several different meanings. When the word "range" is used in older literature, it frequently refers to what is today known as the co domain. If more recent texts use the phrase "range" at all, they typically do so to refer to what is now known as the image. Several contemporary books don't use the word "range" at all to avoid any misunderstandings.

As per the given data:

Relation R is  {(3,-2), (1, 2), (-1, -4), (-1, 2)}.

The collection of all a function's outputs defines its range.

The number on the y coordinate is what we know to be the range.

It is given that

r {(3, -2), (1, 2), (-1, -4), (-1, 2)}

Here the range is

{-2, 2, -4, 2}

As 2 is repeated, take it once

By rearranging from least to greatest

R: {-4, -2, 2}

∴ The range is {-4, -2, 2}.

Hence, the range of the relation R is {-4, -2, 2}.

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Answer:

A. parallel lines

You can also use the app desmos to help you graph equations.

The posterior probability of 0.122 indicates that there is a relatively low probability that the plant was a cactus. This is consistent with our intuition because the likelihood of a cactus dying (0.05) is much lower than the likelihood of an orchid dying (0.24).

To apply Bayes's theorem and calculate the posterior probability that the plant was a cactus, we need to consider the prior probability and the likelihood of the observed event

Let's denote:

C = the event that the plant is a cactus

O = the event that the plant is an orchid

D = the event that the plant dies

We are given the following probabilities:

P(C) = 0.4 (prior probability of the plant being a cactus)

P(O) = 0.6 (prior probability of the plant being an orchid)

P(D|C) = 0.05 (probability of the plant dying given that it is a cactus)

P(D|O) = 0.24 (probability of the plant dying given that it is an orchid)

We want to calculate the posterior probability P(C|D), which represents the probability that the plant is a cactus given that it died.

According to Bayes's theorem:

P(C|D) = (P(D|C) * P(C)) / P(D)

To calculate P(D), we can use the law of total probability:

P(D) = P(D|C) * P(C) + P(D|O) * P(O)

Substituting the given values:

P(D) = (0.05 * 0.4) + (0.24 * 0.6) = 0.02 + 0.144 = 0.164

Now, we can calculate the posterior probability:

P(C|D) = (0.05 * 0.4) / 0.164 ≈ 0.122

The posterior probability that the plant was a cactus, given that it died, is approximately 0.122.

Initially, before any observation, the prior probability of the plant being a cactus was 0.4, and the prior probability of it being an orchid was 0.6. However, after observing that the plant died, we can update our belief using Bayes's theorem to calculate the posterior probability.

The posterior probability of 0.122 indicates that there is a relatively low probability that the plant was a cactus.

This is consistent with our intuition because the likelihood of a cactus dying (0.05) is much lower than the likelihood of an orchid dying (0.24). The fact that the plant died provides evidence that it is more likely to be an orchid rather than a cactus.

The observation of the plant dying has shifted our belief towards it being an orchid. This is because orchids have a higher probability of dying under the given circumstances.

The posterior probability reflects this shift, indicating that it is more likely for the plant to be an orchid rather than a cactus after considering the observed event.

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Answer:

255 miles

Step-by-step explanation:

if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.

\(y - 5 = 3(x - 2)\)

Therefore, the projectile goes approximately 6.9 × 10^6 meters or 6,900 kilometers high.

Let's first convert the initial speed from km/hr to m/s to be consistent with the unit of acceleration due to gravity.

1.30×10^4 km/hr = (1.30×10^4 × 1000 m/km) / (3600 s/hr) = 3611.11 m/s

We can use the kinematic equation: Δy = v0t + 1/2at^2 to determine the maximum height reached by the projectile. At the highest point, the velocity is zero, so we can use the fact that v = v0 + at = 0 to find the time it takes to reach the maximum height.

v0 = 3611.11 m/s (initial velocity)

a = -9.81 m/s^2 (acceleration due to gravity)

t = -v0/a = -3611.11/(-9.81) = 367.97 s (time to reach maximum height)

Now we can use the time to find the maximum height reached:

Δy = v0t + 1/2at^2 = 3611.11 × 367.97 + 1/2 × (-9.81) × (367.97)^2 ≈ 6.9 × 10^6 meters

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Total cost with pass = $20a

Total cost without pass = $12a + 40

According to the information

We can write a system of equations for this problem,

Equation 1:

Cost with season pass = 12a + 40

Equation 2:

Cost without season pass = 20a

Therefore,

The system of equations that represents this problem is:

12a + 40 = c  ...(i)

20a = c   ...(ii)

Now making table for it:

Cost     Number     Amount Spent    Total Cost With   Total Cost Without

Ad.          Ad.            Pass ($)               Season Pass      Season Pass

20            a                      0                        20a + 0                   20a

12             a                     40                       12a + 40                 12a + 40

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Step-by-step explanation:

answer is 28 sq units ... height comes out to be 4 and base be 14 ..then area of triangle = 1/2 x base x height = 1/2 x 4 x 14 so area is 28 sq units

Answer:

\(a=9\)

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem (\(a^{2} +b^{2} =c^{2}\)) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is\(a^{2} +b^{2} =c^{2}\) to only get a because we want to know what a is.

Rearranged: \(a=\sqrt{c^{2}-b^{2} }\) or \(a=-\sqrt{c^{2}-b^{2} }\)  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

\(a=\sqrt{15^{2}-12^{2} }\)

-Simplify it:

\(a=\sqrt{225-144}\)

-Subtract inside the radical:

\(a=\sqrt{81}\)  Then simplify it to get \(a=9\).

You can check your answer by putting a back into the original Pythagorean Theorem formula (\(a^{2} +b^{2} =c^{2}\)):

Steps

-Plug a, b, and c into the formula \(a^{2} +b^{2} =c^{2}\):

\((9)^{2} +(12)^{2} =(15)^{2}\)

-Simplify to get:

\(81+144=225\)

-Add:

\(225=225\)  This is very true. So our answer is correct.

ANSWER: \(a=9\)

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

Answer:

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Answer:

im to lazy to do an equation

Step-by-step explanation:

Answer:

15.52 ft

Step-by-step explanation:

the length of the rope can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√15² + 4²

= √225 + 16

=√ 241

= 15.52 ft

Answer:

the answer is b the square root of 160

Step-by-step explanation:

i did it on the assignment

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

The measure of the arc BED is 218°

This means that we need to find the angle of the arc BED on the given circle.

We need to remember that the total angle on a circle is 360°.

We can also see that the angle between B and C is 52°, and the angle between C and D is 90° (that is what the little square means).

And the angle between B and D (measured counterclockwise) is the angle we want to find, and it will be equal to 360° minus the two angles above, then we will get:

measure of the arc = 360° - 52° - 90°

measure of the arc = 218°

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Answer:

25 and there a leftpover of 2

Step-by-step explanation:

The radius of the figure is 2√2.

We have,

From the figure,

The right angle triangle.

One angle is 90 and the other two angles will be the same. ie. 45

Now,

The sides opposite to the equal angles are the same.

From the figure,

Side = 2

Now,

Applying the Pythagorean theorem,

radius² = side² + side²

radius² = 2² + 2²

radius² = 4 + 4

radius = √8 = 2√2

Thus,

The radius of the figure is 2√2.

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Answer:

y = 7

Step-1: Subtract 8 both sides

⇒ \(36 = 4y + 8\)

⇒ \(36 - 8 = 4y + 8 - 8\)

⇒ \(28 = 4y\)

Step-2: Divide 4 both sides

⇒ \(28 = 4y\)

⇒ \(\frac{28}{4} = \frac{4y}{4}\)

⇒ \(7 = y\)

Answer:

3 or -3

Step-by-step explanation:

What number multiplied by itself will give you 9

1*1 =1

2*2 =4

3*3 =9

Also note that negative times negative will be positive so

-1*-1=1

That means -3*-3 = 9

Answer:

3^2 0r (-3)^2

Step-by-step explanation:

let the number be x

x^2=9

x=\(\sqrt{9\)

x=\(\sqrt{3*3\)

x=3

there fore x=plus or minus 3.since it is a sqauring a number if u square (-3)^2 along will the number sign also gets multiplied and (-*-)=+ so u we get positive number.

therefore if u square 3 then u will get 9

The median of complaints received per week is 2.

To find the median of complaints received per week, we need to arrange the probabilities in ascending order and then find the probability at the middle position.

Arranging the probabilities in ascending order, we get:

Number of complaints 0 1 2 3 4 5
Probability 0.05 0.07 0.09 0.18 0.26 0.35

The median position is (n+1)/2, where n is the total number of probabilities. In this case, n=6, so the median position is (6+1)/2=3.5.

The probability at position 3 is 0.09 and the probability at position 4 is 0.18. Therefore, the median probability is the average of these two probabilities, which is (0.09+0.18)/2=0.135.

To find the median number of complaints, we need to find the number of complaints that corresponds to the median probability. Starting from the first probability, we add up the probabilities until we reach a total of at least 0.135.

0.05 + 0.07 + 0.09 = 0.21

Therefore, the median number of complaints is 2.
So, the answer is 2 (rounded to the nearest integer).

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The median of complaints received per week is 2.

To find the median of complaints received per week, we need to arrange the probabilities in ascending order and then find the probability at the middle position.

Arranging the probabilities in ascending order, we get:

Number of complaints 0 1 2 3 4 5
Probability 0.05 0.07 0.09 0.18 0.26 0.35

The median position is (n+1)/2, where n is the total number of probabilities. In this case, n=6, so the median position is (6+1)/2=3.5.

The probability at position 3 is 0.09 and the probability at position 4 is 0.18. Therefore, the median probability is the average of these two probabilities, which is (0.09+0.18)/2=0.135.

To find the median number of complaints, we need to find the number of complaints that corresponds to the median probability. Starting from the first probability, we add up the probabilities until we reach a total of at least 0.135.

0.05 + 0.07 + 0.09 = 0.21

Therefore, the median number of complaints is 2.
So, the answer is 2 (rounded to the nearest integer).

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The solution to the equation is w = 285.

To solve the equation 3⋅50 + 2w = 720, we first simplify the left side by multiplying 3 and 50, which gives us 150.

Therefore, the equation becomes 150 + 2w = 720. Next, we isolate the variable term by subtracting 150 from both sides of the equation, resulting in 2w = 570.

To solve for w, we divide both sides of the equation by 2, giving us w = 285.

Therefore, the solution to the equation is w = 285.

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The area of the rectangle ABCD is 56 Unit².

What exactly is a rectangle?

A rectangle is a two-dimensional geometric shape that is characterized by having four sides and four right angles. It is a type of quadrilateral.

The opposite sides of a rectangle are parallel and equal in length, and the adjacent sides are perpendicular to each other. This means that the opposite sides of a rectangle have the same distance apart throughout their entire length. The area of a rectangle is given by the formula A = lw, where l = length and w= width.

Now,

As √AEB=60°, and Side AE is equal to EB

and also angles opposite to equal sides are equal.

Then, ΔAEB is a equilateral triangle.

so, AB=8

Now

area of rectangle=length*breadth

Length=8 and breadth=BC=7

Area=8*7

A=56 unit²

Hence,

              The area of the given rectangle ABCD is 56 Unit².

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Answer:

A function

Step-by-step explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

To Find:

x=?

Solution:  

\(\to 48x^2 : 64x^4 :: x : 36x^2\)

\(\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\\)

cross multiply:

\(\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27\)

Therefore, the answer is "27".

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The 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

To find the 98% confidence interval for the true mean noise level, we can use the formula:

CI = mean ± Z * (σ / sqrt(n))

Where:

CI is the confidence interval,

mean is the sample mean,

Z is the z-score corresponding to the desired confidence level,

σ is the population standard deviation,

n is the sample size.

In this case, we have:

mean = 56.5 (sample mean)

σ = 3.5 (population standard deviation)

n = 180 (sample size)

Confidence level = 98%

First, we need to find the z-score corresponding to a 98% confidence level. The remaining 2% is split equally between the two tails of the distribution, so we have 1% in each tail. We can find the z-score using a standard normal distribution table or a graphing calculator. For a 98% confidence level, the z-score is approximately 2.33.

Now we can calculate the confidence interval:

CI = 56.5 ± 2.33 * (3.5 / sqrt(180))

CI = 56.5 ± 2.33 * (3.5 / 13.416)

CI = 56.5 ± 2.33 * 0.261

CI = 56.5 ± 0.607

CI ≈ (55.9, 57.1)

Therefore, the 98% confidence interval for the true mean noise level is approximately (55.9, 57.1).

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The zeroes of polynomial are 43/5 and -3/4.

We have,

4 (3x-2)² -3 (3x-2) (x+5) - 7(x+5)²

simplifying the above expression we get

4 (9x² + 4 -12x ) -3 (3x² + 15x - 2x - 10) - 7(x² + 25 + 10x)

= 36x² - 48x + 16 - 9x² -39x + 30 - 7x² - 175 - 70x

= 20x² -157x -129

Now, solving the quadratic equation we get

x = 43/5 and x= -3/4

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1000 cubic millimeters are in a cubic centimeter.

'What is cubic centimeter?'

There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.

For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.

The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.

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The form of the partial fraction decomposition of the function is  x -10 + A/(x+1) + B/(x+9).

Partial fractions are fractions used to decompose a rational equation. When an algebraic expression is divided into two or more rational expressions, each portion is referred to as a partial fraction. As a result, it is essentially the inverse of rational expression addition. A partial fraction, like a fraction, has a numerator and a denominator, with the denominator representing the decomposed component of a rational function.

To avoid this complication, we must continue the task by simplifying the complicated form of the rational statement. One approach for decomposing rational statements into simpler partial fractions is partial fraction decomposition.

a)  \(\frac{x^3}{x^2+10x+9} = \frac{x^3}{(x+1)(x+9)}\)

Degree on numerator is higher than degree on denominator

so, first we will divide

x³ = (x-10) (x²+10x+9) + (x+90)

\(\frac{x^3}{x^2+10x+9} = \frac{(x^2+10x+9)(x-10) +(x+90)}{x^2+10x+9}\)

= x -10 + A/(x+1) + B/(x+9)

b) \(\frac{7x+1}{(x+1)^3 (x^2+4)^2} = \frac{A}{x+1} +\frac{B}{(x+1)^2} +\frac{C}{(x+1)^3} +\frac{Dx +E}{x^2+4} +\frac{Fx+G}{(x^2+4)^2}\)

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