Using python:
2.Use a list comprehension to keep only the positives among the numbers below: [9, 2, 4, 1].
numbers = [9, -6, 2, -5, 4, -7, 1, -3]
3.Use a list comprehension to convert the strings below to integers: [140, 219, 220, 256, 362].
strings = ["140", "219", "220", "256", "362"]
4.Use a list comprehension to identify the vowels in the word below: ['a', 'o', 'i']
word = "algorithm"
5.Use a dictionary comprehension to create the opposite of the mapping below: {1: 'a', 2: 'b', 3: 'c'}
mapping = {"a": 1, "b": 2, "c": 3}
6.Use a set comprehension to identify the keys below with counts greater than one: {'a', 'c', 'e'}
counts = {"a": 4, "b": 1, "c": 5, "d": 0, "e": 6}

The exact value of the limit is 6.

To find the exact value of the limit using l'Hôpital's Rule, we must first take the derivative of the numerator and denominator of the expression.

Numerator: (1 + 6/x)x

Derivative of numerator: x(1 + 6/x)x-1(6/x2)

Denominator: x

Derivative of denominator: 1

Now we can use l'Hôpital's Rule and take the limit of the new expression:

lim x→[infinity] x(1 + 6/x)x-1(6/x2) / 1

lim x→[infinity] (1 + 6/x)x-16/x

lim x→[infinity] 6

lim x→[infinity] 6 = 6

Therefore, the exact value of the limit is 6.

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Answer:

1.66

Step-by-step explanation:

hope this helps

Answer:

3/5 or 0.8

Step-by-step explanation:

3 Cartons, divided by 5 people =

3/5 or 0.8

Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

Their average height is 159.4

In this case, the kinesiologist measured the heights of 10 volleyball players in centimeters. One common way to describe a set of data like this is to calculate the average, or mean, height of the players.

To calculate the average height, we add up all of the heights and divide by the total number of players. In this case, we have:

185 + 182 + 165 + 189 + 170 + 150 + 174 + 151 + 180 + 158 = 1594

We have 10 players in total, so we divide the sum of the heights by 10:

1594 / 10 = 159.4

Therefore, the average height of the 10 volleyball players is 159.4 centimeters.

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Answer:

The 2 numbers are

102 and 51

Step-by-step explanation:

A + B = 153

A=2B

So 2B+B=153

3B=153

B=153/3=51

A=51*2=102

On solving the provided question, we got -  0.001 is a stronger significance level,

any of a product's characteristics taken into account in respect to a certain characteristic. especially: a term's constant component as opposed to its variable. a value that represents a quality or attribute by a number (as of a substance, device, or process)

Whenever a variable is multiplied, a coefficient is used. In this case, "z" is a variable, making 6 a coefficient. 6z stands for 6 times z. Coefficient 1 applies to variables without a value.

0.001 is a stronger significance level, It means that the probability of error for the statistic is greater than 5 in 100, therefore the researchers concluded that the research is not statistically significant.

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The value of f(12) is 78, which means that the smallest number of trains that can be formed from a double 12 set of dominoes is 78.

The value of $f(12)$, which represents the smallest number of trains that can be formed from a double-12 set of dominoes, can be found using a formula.

In general, for a double-$n$ set of dominoes, the formula to find the minimum number of trains, $f(n)$, is given by:

$f(n) = \frac{n \cdot (n + 1)}{2}$

Substituting $n = 12$ into the formula,

we get:

$f(12) = \frac{12 \cdot (12 + 1)}{2}$

Simplifying the expression, we have:

$f(12) = \frac{12 \cdot 13}{2}$

$f(12) = \frac{156}{2}$

$f(12) = 78$

Therefore, the value of $f(12)$ is 78, which means that the smallest number of trains that can be formed from a double-12 set of dominoes is 78.

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The value of \($f(12)$\), which represents the smallest number of trains that can be formed from a double-\($n$\) set of dominoes, can be determined by using the formula:\($f(n) = \frac{n(n+1)}{4}$.\)

To find f(12), we substitute n with 12 in the formula:
\($f(12) = \frac{12(12+1)}{4} = \frac{12(13)}{4} = \frac{156}{4} = 39$\)

Therefore, \($f(12) = 39$\), meaning that the smallest number of trains that can be formed from a double-12 set of dominoes is 39.

Let's break down the formula to better understand how it works. In a double-n set of dominoes, there are n pairs of numbers from 0 to n-1. Each train consists of a sequence of dominoes, where each domino has two numbers. The goal is to use every domino exactly once in the trains.

The formula \($f(n) = \frac{n(n+1)}{4}$\) calculates the sum of the first n natural numbers, which corresponds to the number of dominoes in the set. Dividing this sum by 4 gives the minimum number of trains that can be formed.

For example, when \($n=6$, $f(6) = \frac{6(6+1)}{4} = \frac{42}{4} = 10.5$\). Since the number of trains must be a whole number, we round up to 11. Therefore, f(6)=11.

In summary, the formula \($f(n) = \frac{n(n+1)}{4}$\) gives the smallest number of trains that can be formed from a double-n set of dominoes. By substituting n with 12, we find that f(12)=39.

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Assuming that the y-axis tick marks will be separated by 50 (50, 100, 150, and so on). The largest value that should appear on the y-axis is 400.

Largest value:

The maximum value of a dataset is often called the maximum value (max for short), and the minimum value is often called the minimum value (or min). The difference between the maximum and minimum values, sometimes called the range, is calculated by subtracting the minimum value from the maximum value.

Researchers varied the time of the experiment to measure the activity of the enzyme on glucose-6-phosphate (substrate). This happened because the enzyme acted on glucose-6-phosphate to produce glucose and a phosphate ion (Pi).

The concentration of phosphate ions was measured in the experiment. Therefore, time is the independent variable plotted on the x-axis and phosphate ion concentration is the dependent variable plotted on the y-axis.

The measured phosphate ion concentration ranges from 0 to 355. The maximum possible value is 355, so the y-axis range must be between 0 and 400. So the maximum value on the y-axis is 400.

50 units should separate the y-axis ticks. All tick marks are evenly spaced.

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Answer:

I cant tell you the answer but think of this formula.

Step-by-step explanation:

The most appropriate option in this context would be "stack".

"Stack" is commonly used to refer to a collection of papers or documents, such as a pile of notes. "Wad" typically refers to a small, crumpled mass of paper or money, while "bunch" suggests a more haphazard or unorganized grouping. "Album" typically refers to a book or binder containing a collection of photographs or other images, rather than notes.

Answer:

c. stack is the correct answer

(1) The lower bound of the confidence interval is approximately 0.689, and the upper bound is approximately 0.744. (2)The 95% confidence interval for the population proportion is approximately 0.108 to 0.252. (3)  A higher level of confidence requires capturing more potential values within the interval, leading to a larger range of values and a wider interval. (4) The required sample size is 883 if a previous estimate of 25% is used, and 1057 without any prior estimates.

Let's go through each question step by step:

(1) Confidence Interval for Population Proportion:

Given: X = 860, n = 1200, 95% confidence

To construct a confidence interval for the population proportion, we can use the formula:

CI = X / n ± Z × √[(X / n) × (1 - X / n) / n]

where:

Let's calculate the confidence interval:

CI = 860 / 1200 ± 1.96 × √[(860 / 1200) × (1 - 860 / 1200) / 1200]

CI ≈ 0.7167 ± 1.96 × 0.0142

Lower bound of the confidence interval:

0.7167 - 1.96 × 0.0142 ≈ 0.689

Upper bound of the confidence interval:

0.7167 + 1.96 × 0.0142 ≈ 0.744

Therefore, the lower bound of the confidence interval is approximately 0.689, and the upper bound is approximately 0.744.

(2) Confidence Interval for Proportion with Headache Side Effect:

Given: n = 200, X = 36

(a) Point estimate for the population proportion:

p = X / n = 36 / 200 ≈ 0.18

(b) Requirements for constructing a confidence interval:

To construct a confidence interval, we need to check if the requirements    are satisfied:

(1)Random Sampling: It is not mentioned in the question whether the sample was randomly selected.

(2)Independent Observations: We assume that the patients' responses are independent.

(3)The sample size of 200 is reasonably large, satisfying this requirement.

(c) Construct a 95% confidence interval:

To construct a confidence interval, we can use the formula for proportions:

CI = p ± Z × √(p × (1 - p) / n)

For a 95% confidence level, Z ≈ 1.96.

CI = 0.18 ± 1.96×√(0.18 × (1 - 0.18) / 200)

CI ≈ 0.18 ± 0.072

Lower bound of the confidence interval:

0.18 - 0.072 ≈ 0.108

Upper bound of the confidence interval:

0.18 + 0.072 ≈ 0.252

Therefore, the 95% confidence interval for the population proportion is approximately 0.108 to 0.252.

(3) Confidence Intervals for Tattoo Proportion:

Given: Adults aged 18 or older, sample size = 2,214, those with at least one tattoo = 390

(a) Point estimate for the proportion:

p = X / n = 390 / 2,214 ≈ 0.176

(b) 90% Confidence Interval:

To construct a 90% confidence interval, we can use the formula:

CI = p ± Z ×√(p × (1 - p) / n)

For a 90% confidence level, Z ≈ 1.645.

CI = 0.176 ± 1.645 × √(0.176 × (1 - 0.176) / 2,214)

CI ≈ 0.176 ± 0.028

Lower bound of the confidence interval:

0.176 - 0.028 ≈ 0.148

Upper bound of the confidence interval:

0.176 + 0.028 ≈ 0.204

Therefore, the 90% confidence interval for the proportion of adults with at least one tattoo is approximately 0.148 to 0.204.

(c) 95% Confidence Interval:

For a 95% confidence level, Z ≈ 1.96.

CI = 0.176 ± 1.96 × √(0.176 × (1 - 0.176) / 2,214)

CI ≈ 0.176 ± 0.033

Lower bound of the confidence interval:

0.176 - 0.033 ≈ 0.143

Upper bound of the confidence interval:

0.176 + 0.033 ≈ 0.209

Therefore, the 95% confidence interval for the proportion of adults with at least one tattoo is approximately 0.143 to 0.209.

(d) Effect of increasing the level of confidence on the width of the interval:

This is because a higher level of confidence requires capturing more potential values within the interval, leading to a larger range of values and a wider interval.

(4)To calculate the sample size needed to estimate the percentage of adults who support abolishing the penny, we can use the formula:

n = (Z × σ / E)²

where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (99% confidence corresponds to Z ≈ 2.576)

σ is the standard deviation (unknown in this case, but we can estimate it based on the previous estimate)

E is the desired margin of error (5 percentage points)

(a) Using a previous estimate of 25%:

We need to estimate the standard deviation (σ) based on the previous estimate of 25%. The standard deviation can be approximated as:

σ ≈ √(p × (1 - p))

where p is the previous estimate (0.25).

σ ≈ √(0.25 × (1 - 0.25))

σ ≈ √(0.25 × 0.75)

σ ≈ 0.433

Now, we can calculate the required sample size:

n = (2.576 × 0.433 / 0.05)²

n ≈ 882.26

Rounding up to the nearest integer, the required sample size is approximately 883.

(b) Without using any prior estimates:

We can assume a conservative estimate of p = 0.5, which gives the maximum required sample size.

Using p = 0.5, we can calculate the required sample size:

n = (2.576 × 0.5 / 0.05)²

n ≈ 1056.76

The required sample size is approximately 1057.

Therefore, the required sample size is 883 if a previous estimate of 25% is used, and 1057 without any prior estimates.

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Answer: 50%

Step-by-step explanation:

Because 2 of four is half, that that the probability is a 50% chance.

Answer:

1/2

Step-by-step explanation:

Think of this like a pizza or pie:

If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.

Because this is a fraction and it can be simplified, it would be 1/2.

So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.

Answer:

66

Step-by-step explanation:

First find the cost of the tip

tip = 55 * 20%

    = 55 * .20

    = 11

The tip is 11 dollars

Add this to the bill

55+11 = 66

The total bill is 66 dollars

Answer:

Their cost would be $66.00

Step-by-step explanation:

The way i do it is i take ten percent of the total. Which is 55. 10% of 55 is 5.5. And since the diners decide to leave a 20% you multiply 5.5 by two and get 11. So that is an $11.00 tip they left.

So next you would add the $11.00 tip to the $55.00 and you would get a total cost of $66.00.

The diners total cost after they leave a 20% tip would be $66.00

Answer:

The answer is C. Hope this helps

Answer:

DE = 19.5

Step-by-step explanation:

the diagonals of a rectangle are congruent and bisect each other, then

EC = AE , that is

7x - 5 = 3x + 9 ( subtract 3x from both sides )

4x - 5 = 9 ( add 5 to both sides )

4x = 14 ( divide both sides by 4 )

x = 3.5

Then

AE = 3x + 9 = 3(3.5) + 9 = 10.5 + 9 = 19.5

Thus

DE = AE = 19.5

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

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Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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Answer:

It is the first answer.

Step-by-step explanation:

The second answer is incorrect, because this has a negative slope which means that it has a negative association.

The third one is wrong because you can see that it does show that most of the points are clustered around a path that would be a line through the points.

The line of best fit does not have to go through any of the original points.

Can you please show attachments?

Ans=h=3/2

Please mark brainliest

Answer:

Option C

Step-by-step explanation:

\(\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}\)

\(\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}\)

                       \(\sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)\)

Answer:

It would be $83.88

Answer:

$83.88

Step-by-step explanation:

77.85 x .0775 = 6.03

77.85 + 6.03 = 83.88

The total distance the courier biked can be determined by calculating the sum of the distances between consecutive buildings.

Given that each unit on the coordinate grid equals 100 feet, we can find the total distance in feet.

Starting from building 1 and proceeding to buildings 2, 3, and 4, and then returning to building 1 forms a closed path.

Since the path consists of straight lines, we can calculate the distances between the buildings using the distance formula, which is the straight-line distance between two points in a coordinate system.

Let's assume the coordinates of the buildings are (x1, y1) = (0, 0) for building 1, (x2, y2) for building 2, (x3, y3) for building 3, and (x4, y4) for building 4. We can calculate the distance using the formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2) + √((x3 - x2)^2 + (y3 - y2)^2) + √((x4 - x3)^2 + (y4 - y3)^2) + √((x1 - x4)^2 + (y1 - y4)^2)

By substituting the appropriate coordinates and evaluating the equation, we can find the total distance the courier biked in feet.

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Answer:

[0, ∞)

(all real numbers greater than or equal to 0)

Explanation:

the domain of a function is all possible x-values (and the range is all possible y-values)

We know that you cannot have a negative square root, so all negative x-values are not possible--only values 0 to infinity.

So the domain of this function is [0, ∞).

{ [brackets] in math mean the number is included, (parentheses) in math means the number is not included.}

All [real] numbers ≥ 0

is the domain of y=√x

(written as: all real numbers greater than or equal to 0)

A) Current (I)= 4A and power dissipated is 24W

B) The energy delivers to the water in 350 sec is 2009.57 cal.

We have, Resistance of the resistor, R = 1.5 ohm

The voltage across the resistor, V = 6.00 V

Let the current in the resistor be 'I'

By using Ohms' Law

I = V/R ⇒ 6.00 V / 1.5 ohm ⇒ 4 A

Therefore, the current in the resistor is 4 A.

The power dissipated by the resistor,

P = I²R ⇒ (4 A)² × 1.5 ohm ⇒ 24 W

Therefore, the power dissipated by the resistor is 24 W.

B) The energy delivered to the water by the resistor can be calculated using the formula:

E = P × t,

Where P = Power of the resistor = 24 W

t = Time = 350 seconds

Therefore, the energy delivered to the water by the resistor is:

E = Pt ⇒ 24 W × 350 s ⇒ 8400 J

Now, convert it to calories:

1 calorie = 4.18 J

Therefore, Energy in calories = Energy in joules / 4.18

⇒ 8400 J / 4.18

⇒ 2009.57 cal

Hence, the energy delivered to the water in 350 seconds is 8400 J or 2009.57 cal.

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The method of moments estimate of θ is the sample mean, and the maximum likelihood estimate of θ is the maximum observed value among the sample.

The method of moments (MoM) estimate of θ for the given density function can be obtained by equating the theoretical moments to their sample counterparts.

In this case, we have a single parameter θ to estimate.

The first raw moment of the distribution is E[X] = θ, so the MoM estimate of θ is the sample mean, which is equal to the arithmetic average of the observed values of X.

To find the maximum likelihood estimate (MLE) of θ, we need to maximize the likelihood function.

The likelihood function is the product of the density function evaluated at each observed value of X.

However, we need to be careful because the likelihood is positive only for θ greater than or equal to the maximum observed value among X1, X2, ..., Xn.

This is because the density function is zero for x less than θ.

Therefore, the MLE of θ is the maximum observed value among X1, X2, ..., Xn.

In summary, the method of moments estimate of θ is the sample mean, and the maximum likelihood estimate of θ is the maximum observed value among the sample.

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Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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Answer:

p=-60

Step-by-step explanation:

When you add a negative, you are just subtracting.

p/-2-27=3

p/-2-27+27=3+27

2(-p/2)=2(30)

-p=60

-p/-1=60/-1

p=-60

Hope this helps! Pls give brainliest!

9514 1404 393

Answer:

  ∠SPR = 48°

Step-by-step explanation:

The relevant relations are ...

Since PR is a diameter, triangle PQR is a right triangle with angle PQR being the right angle.

This makes ∠PRQ complementary to ∠RPQ:

  ∠PRQ = 90° -28° = 62°

Exterior angle RTS is the sum of interior angles TRQ and TQR, so angle TQR can be found to be ...

  110° = 62° +∠TQR

  ∠TQR = 110° -62° = 48° = ∠SQR

__

Angle TQR, also angle SQR, subtends arc SR, so is the same measure as angle SPR, which also subtends the same arc.

  ∠SPR = 48°