WILL GIVE 50 POINTS

Suppose f is a function that takes a real number x and performs the following steps in the order given:
(1) add 8
(2) take the square root
(3) subtract 9
(4) divide into 12

f(x)=?

A, the measures of variation would all be 0. This is because variation measures the differences or spread of values within a dataset. If there is no mercury present in the tuna sushi, then all the values would be the same, resulting in no variation and all measures of variation would be 0.

that since there is no difference or spread in the data, it is not possible to calculate the range, variance, or standard deviation, which are the measures of variation. Therefore, the correct answer is option A.

In conclusion, if the tuna sushi contained no mercury, the measures of variation would all be 0, as there would be no variation in the data.

The measures of variation describe the dispersion or spread of a dataset. If the tuna sushi contained no mercury, that means there is no variation in mercury content. In this case, all data points would be the same (0 mercury), resulting in no dispersion or spread.

If tuna sushi had no mercury content, the measures of variation would be 0, indicating no dispersion in the data.

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Answer:

five times a number plus two.

The number of different ordered 3-tuples, where each item is an element of set A, can be determined by calculating the Cartesian product of set A with itself three times.

In general, the Cartesian product of two sets A and B is the set of all possible ordered pairs where the first element is from set A and the second element is from set B. Extending this concept to three sets, the Cartesian product will consist of ordered triples.

To find the number of different ordered 3-tuples, we need to consider the cardinality (number of elements) of set A. Let's denote the cardinality of A as n.

The number of different ordered 3-tuples can be calculated as n raised to the power of 3, since each position in the tuple can be filled with any element from set A. In other words, it is equivalent to finding the number of combinations with repetition.

Therefore, the number of different ordered 3-tuples is n^3.

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The 10th percentile of the normal distribution with mean 43 and standard deviation 8 is approximately 32.16.

To find the 10th percentile of a normal distribution with mean mu and standard deviation sigma, we can use the inverse cumulative distribution function (CDF) of the standard normal distribution.

The 10th percentile is the value below which 10% of the observations fall. Therefore, we need to find the z-score such that the area under the standard normal curve to the left of z is 0.1.

Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 10th percentile is approximately -1.28.

Then, we can use the formula for transforming a standard normal distribution to a normal distribution with mean mu and standard deviation sigma:

z = (X - mu) / sigma

Rearranging the formula, we get:

X = mu + z * sigma

Substituting mu = 43, sigma = 8, and z = -1.28, we get:

X = 43 + (-1.28) * 8 = 32.16

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Answer:

General equation of a line:

\(y = mx + b\)

m is the slope

b is the y-intercept

Therefore, answer is:

\({ \boxed{ \boxed{y = 3x + 4}}}\)

The following system of inequalities is represented by the graph

x+y>3

-x+y< -4

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

Consider the  inequalities:

x+y>3-------(1)

-x+y< -4------(2)

Find x and y intercepts of both by considering them as equations by using equal sign in the place of  inequality sign

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

-x+y= -4------(4)

Find x and intercepts of these 2 equations:

we get x intercept when y=0 ( substitute y=0 into the respective equations and find x)

we get y intercept when x=0  ( substitute x=0 into the respective equations and find y)

x intercept of (3) is (3,0)

y intercept of (3) is (0,3)

x intercept of (3) is (4,0)

y intercept of (3) is (0,-4)

plot these points on a the plane and join them with lines

use dotted line and shade under the lines because of less than symbol

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Answer:

x=20

Step-by-step explanation:

use proportions

121:11

or 11:1

take 10 and multiply it by 11 to get the length of the other side.

110

set the equation equal to that length

5x+10=110

-10 on both sides

5x=100

÷5 on both sides

x=20

Answer:

90

bc i don't care about this

The equation of plane containing the points ABC is 13x+y-18z = 1035.

A plane in 3D coordinate space is determined by a point and a vector that is perpendicular to the plane. The equation of plane is defined as the position vectors and the Cartesian product of the vector perpendicular to the plane.

For the given situation,

The plane containing the points

A(10, 5, -50), B(15, 30, -45) and C(-5, 20, -60).

The equation of the plane in the form r.n=d can be represented as

\((r-a).[(b-a)\) × \((c-a)]=0\) ------ (1)

Let r = xi + yj +zk

a = 10i + 5j - 50k

b = 15i + 30j - 45k

c = -5i + 20j - 60k

\((r-a)=(x-10)i+(y-5)j+(z+50)k\) ------- (2)

\((b-a)=(15-10)i+(30-5)j+(-45-(50))k\)

⇒ \((b-a)=5i+25j+5k\)

\((c-a)=(-5-10)i+(20-5)j+(-60-(50))k\)

⇒ \((c-a)=-15i+15j-10k\)

Now, \((b-a)\) × \((c-a)\)

⇒ \((5i+25j+5k)\) × \((-15i+15j-10k)\)

⇒ \(\begin{vmatrix}i&j&k\\5&25&5\\-15&15&-10\end{vmatrix}\)

⇒ \(i(-250-75)-j(-50+75)+k(75+375)\)

⇒ \(-325i-25j+450k\) -------- (3)

Substitute all values in equation 1,

⇒ \([(x-10)i+(y-5)j+(z+50)k].[(-325i-25j+450k)]=0\)

⇒ \(-325(x-10)-25(y-5)+450(z+50)=0\)

⇒ \(-325x+3250-25y+125+450z+22500=0\)

⇒ \(-325x-25y+450z=-22500-3250-125\)

⇒ \(-325x-25y+450z=-25875\)

On dividing by 25 and multiply with negative sign on both sides,

⇒ \(13x+y-18z=1035\)

Hence we can conclude that the equation of plane containing the points ABC is 13x+y-18z = 1035.

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To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

I think it is

A=12%

B=-58%

C=60.2

I am extremely sorry if im wrong

have a good day

Answer:

274

Step-by-step explanation:

187, 199, 211, 250, 298, 331, 347, 362 <<< First order least to greatest

187, 199, 211, 250, 298, 331, 347, 362 <<< Since there are an even amount of terms, take the middle TWO numbers

(250+298)/2 = 548/2 = 274 <<< Take the mean of the two numbers

Your final answer is 274!

Hope this helps!

Answer:

274

Step-by-step explanation:

1.Arrange your numbers in numerical order.

2.Count how many numbers you have.

3.If you have an odd number, divide by 2 and round up to get the position of the median number.

4.If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Answer:

20

Step-by-step explanation:

\(4 \times 5 = 20\)

As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:

\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)

Therefore, t(0) = (3, 3, 0).

To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:

\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)

Substituting 0 for t in r''(t), we have:

\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)

Therefore, r''(0) = (12, 12, 12).

Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:

\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)

\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)

Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

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The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the first two players, is 0.5 or 50%.

Since Taylor is already selected as one of the first two players, the coach has one more spot to fill for the third player. The coach randomly selects the third r player from either the group of seniors or juniors. We are given that Taylor and Jamie are both juniors on the team. Therefore, the coach has an equal chance of selecting Jamie as the third player from the junior group or selecting a senior player from the senior group. Since the coach chooses randomly, the probability of Jamie being selected as the third player is 0.5 or 50%.

The fact that Taylor is already selected as one of the first two players does not impact the randomness of the coach's decision for the third player. The coach has an equal chance of selecting Jamie or any other junior player from the junior group. Therefore, regardless of whether Taylor is selected or not, the probability of Jamie being chosen as the third player remains the same at 0.5 or 50%.

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The approximate percentage of bulb replacement requests between 57 and 73 is 95%.

The empirical rule, also known as the 68-95-99.7 rule, is used to determine the percentage of observations that lie within a specified number of standard deviations of the means in a normal distribution. The rule states that approximately:

68% of the observations are within one standard deviation of the means

95% of the observations are within two standard deviations of the mean

99.7% of the observations are within three standard deviations of the mean

The given problem states that the distribution of the number of daily requests for fluorescent light bulbs at a university is bell-shaped and has a mean of 57 and a standard deviation of 8. Therefore, to find the approximate percentage of light bulb replacement requests between 57 and 73, we need to find the number of standard deviations of the means that are 73 and 57.

\(z-score = (x - \mu) / \sigma\)

Where

For x = 73,

\(z-score = (73 - 57) / 8\\z-score = 2\)

For x = 57,

\(z-score = (57 - 57) / 8\\z-score = 0\)

Therefore, observations 57 and 73 are separated by two standard deviations.

Using the empirical rule, we can say that approximately 95% of the observations lie within two standard deviations of the mean. Therefore, approximately 95% of the daily requests for replacement of fluorescent bulbs in the university are between 57 and 73.

Thus, the approximate percentage of bulb replacement requests between 57 and 73 is 95%.

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Answer:

26 1/32

Step-by-step explanation:

Doing good so far

To make an exponent positive, you need to make the number a fraction and move it to the opposite of what it is in (so 4^-3  =  1/4^3)

25 + 1 + (1/(4^3) + 1/(2^6))

26 + (1/64 + 1/64)

26 + 2/64

26 + 1/32

= 26  1/32

Answer:

Step-by-step explanation:

y intercept is when the line crosses the y axis

so in this case its (0,0)

the slope is close but its actually 3/2 or 1.5

the equation is y=1.5x

what you did wrong here was misinterpet the slope formula

you did x/y instead of y/x

Answer:

C

Step-by-step explanation:

When computing the area of a circle, the mathematical constant pi () is required. Pi is the circumference-to-diameter ratio of a circle and is approximately equal to 3.14159.

The area of a circle is calculated by multiplying pi by the radius squared (r2). To estimate the area of a circle, utilize pi in the calculation since it is a vital aspect of the relationship between the circumference and diameter of a circle.

Pi is not required when determining the area of a square, rectangle, or cube since the formulas for these shapes are different.

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The question is -

The mathematical constant pi is needed when calculating the area of a _.

a. circle

b. square

c. rectangle

d. cube

Answer:

the answer is b

Step-by-step explanation:

The correct statement will be;

⇒ m ∠P = 61°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In the figure,

⇒ ΔPGL ≅ ΔENH

Now,

Since,  ΔPGL ≅ ΔENH

So, ∠G = ∠E = 37°

And, ∠L = 82°

Since, In ΔPGL;

⇒ ∠P + ∠G + ∠L = 180°

⇒ ∠P + 37° +82° = 180°

⇒ ∠P + 119° = 180°

⇒ ∠P  = 180° - 119°

⇒ ∠P = 61°

Thus, The correct statement is,

⇒ ∠P = 61°

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The probability of earning a return greater than 15 percent for stock ABC, which has a mean return of 10 percent and a standard deviation of 5 percent, can be estimated using the Z-score and the normal distribution. The main answer is approximately 0.1587, or 15.87%.

To calculate the probability, we first need to convert the returns to a standardized Z-score. The Z-score measures the number of standard deviations an observation is from the mean. In this case, we want to find the probability of earning a return greater than 15 percent, which is 5 percentage points above the mean.

The Z-score formula is: Z = (X - μ) / σ

Where:

Z is the Z-score,

X is the value we want to find the probability for (15 percent),

μ is the mean return (10 percent), and

σ is the standard deviation (5 percent).

Substituting the values into the formula:

Z = (15 - 10) / 5

Z = 1

Once we have the Z-score, we can look up the corresponding probability in the standard normal distribution table or use statistical software. In this case, a Z-score of 1 corresponds to a probability of approximately 0.8413. However, we want to find the probability of earning a return greater than 15 percent, so we subtract the probability from 1:

Probability = 1 - 0.8413

Probability = 0.1587, or 15.87%

Therefore, the probability of earning a return greater than 15 percent for stock ABC is approximately 0.1587, or 15.87%. This means that there is about a 15.87% chance of obtaining a return higher than 15 percent based on the given mean return of 10 percent and standard deviation of 5 percent.

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Answer:

The length of the rectangular field is 77 meters.

Step-by-step explanation:

We can use the formula for the area of a rectangle to solve this problem:

Area = length x width

We are given that the area is 4235 m² and the width is 55 m. We can substitute these values into the formula and solve for the length:

4235 = length x 55

To isolate the variable "length" on one side of the equation, we can divide both sides by 55:

4235/55 = length

Simplifying the right side gives:

77 = length

Answer:

24.8 degrees

Step-by-step explanation:

input the side lengths into the law of cosines, and subtract from 180 to get your final answer. hope this helped, and good luck :)

The set D U A' can be written as D union A complement, where A complement is the set of all tax returns that do not have itemized deductions.

Describing D U A' in words, we can say that it is the set of all tax returns selected for audit or those tax returns that do not have itemized deductions. In other words, it includes all tax returns that either have been selected for audit or do not have itemized deductions, or both.

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The correct answer is one is 95% confident that the true mean time all registered users spend on the site per day is between 15 and 57 minutes (option B).

In this context, the statement means that based on the analysis of the simple random sample of 100 users, the market researcher is 95% confident that the true population mean time spent on the site per day falls within the range of 15 and 57 minutes.

This confidence interval provides an estimate of where the true population mean is likely to lie. It does not imply that 95% of the over 100 million registered users spend between 15 and 57 minutes on the site per day, nor does it imply a probability or chance for any given day. The statement is about the researcher's confidence in the estimation of the population mean. The correct option is B.

The complete question is:

A market researcher selects a simple random sample of n = 100 users of a social media website from a population of over 100 million registered users. After analyzing the sample, she states that she has 95% confidence that the mean time spent on the site per day is between 15 and 57 minutes. Explain the meaning of this statement.

Choose the correct answer below.

A. Of the over 100 million registered users, 95% of them spend between 15 and 57 minutes on the site per day.

B. One is 95% confident that the true mean time all registered users spend on the site per day is between 15 and 57 minutes.

C. During any given day there is a 95% chance that the mean time all registered users spent on the site was between 15 and 57 minutes.

D. There is a 95% chance that a randomly selected registered user spends between 15 and 57 minutes on the site per day

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Y intercept = -2

There is no X intercept as it is an asymptote

Answer:

294 sq. mm

Step-by-step explanation:

Answer:

294 sq. mm

Step-by-step explanation:

to find the full surface area of the six squares, find the area of one square. that is 7 times 7 which is 49. then you need to multiply it by 6 to get your answer of 294

The number of subsets with more than two elements that can be formed from a set of 101 elements is approximately 1.27 × 10^30.

To calculate the number of subsets with more than two elements that can be formed from a set of 101 elements, we can use the formula 2^n - nC0 - nC1 - nC2, where n is the number of elements in the set.

In this case, n = 101. So the calculation would be:

2^101 - C(101, 0) - C(101, 1) - C(101, 2)

Using a calculator or a mathematical software, we can compute the values:

2^101 ≈ 1.27 × 10^30

C(101, 0) = 1

C(101, 1) = 101

C(101, 2) = 5050

Substituting these values into the formula, we get:

1.27 × 10^30 - 1 - 101 - 5050 ≈ 1.27 × 10^30 - 5152 ≈ 1.27 × 10^30

Therefore, the number of subsets with more than two elements that can be formed from a set of 101 elements is approximately 1.27 × 10^30.

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In a dataset or graph, outliers are extreme values that greatly deviate from the dominant pattern of values.

In order to identify the outlier, search for a value that is significantly greater or smaller than all the other values. Due to its extreme size compared to all other numbers, the number 267 is an outlier.

a value that "lies outside" (i.e., is significantly smaller or substantially bigger) most of the other values in a set of data For instance, both 3 and 85 in the scores 25, 29, 3, 32, 85, 33, 27 and 28 are "outliers".

A data point that is an outlier in a data graph or dataset you are dealing with is one that is extraordinarily high or extraordinarily low in comparison to the nearest data point and the rest of the nearby coexisting values. Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

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