determine whether or not the vector field is conservative. if it is conservative, find a function f such that f

Answer:

A is the correct answer.

Step-by-step explanation:

y and x meet on those numbers. And i did the test.

hope this helps

Answer:

Gradient =

\(y^{1} - y^{2} \div x^{1} - x^{2} \)

-5-4/-10-q=9

-5-4=9

-10+9=1

Q=-9

Answer:

The point estimate is 0.88

Step-by-step explanation:

Given

\(n = 2000\) -- sample size

\(x = 1760\) -- adults who think future health of social security is a major economic concerm

Required

Determine the point estimate

This is calculated as:

\(\hat p= \frac{x}{n}\)

\(\hat p= \frac{1760}{2000}\)

\(\hat p = 0.88\)

The point estimate is 0.88

Answer: The word "symbolism" contains 9 letters. To find the number of distinguishable ways to rearrange these letters, we can use the formula for the number of permutations of n objects, which is n! (n factorial).

However, in this case, there are repeated letters, specifically "s" and "m". To account for this, we need to divide the total number of permutations by the factorials of the number of times each repeated letter appears.

The letter "s" appears twice, so we divide by 2!. Similarly, the letter "m" also appears twice, so we divide by 2!.

Therefore, the number of distinguishable ways to rearrange the letters in the word "symbolism" is:

9! / (2! × 2!) = 362,880 / 4 = 90,720

So there are 90,720 distinguishable ways to rearrange the letters in the word "symbolism".

Step-by-step explanation:

42 since 42/2=21 but 42/4=10.5 not integer

The number 42 is divisible by 2 but not divisible by 4 so it will be a counter-example so option (D) will be correct.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

If a number is divisible by 2 then it will also be divisible by 4 is a false statement.

For example, 6 is divisible by 2 but not 4, other examples are 10,14,16, etc.

In option (D)

42/2 = 21 + remainder 0

42/4= 10 + remainder 2 so it is not divisible by 4

Hence "The number 42 is divisible by 2 but not divisible by 4 so it will be a counter-example".

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To solve this problem, we can use the Poisson distribution, which models the number of events that occur in a fixed period of time, given the average rate of occurrence.

a. To find the probability that at most 425 people are struck by lightning in a year, we can use the Poisson distribution with a mean of 400. The formula for the Poisson distribution is:
P(X ≤ k) = e^-λ ∑_(i=0)^k (λ^i/i!)
where X is the random variable (the number of people struck by lightning in a year), λ is the mean (400), and k is the maximum number of people we're interested in (425). Plugging in the values, we get:
P(X ≤ 425) = e^-400 ∑_(i=0)^425 (400^i/i!) = 0.8855
So the probability that at most 425 people are struck by lightning in a year is 0.8855, or about 88.55%.
b. To find the probability that at least 375 people are struck by lightning in a year, we can use the complement rule: the probability of an event happening is 1 minus the probability of the event not happening. So in this case, we want to find the probability that fewer than 375 people are struck by lightning, and subtract that from 1 to get the probability of at least 375 people being struck.
P(X ≥ 375) = 1 - P(X < 375) = 1 - e^-400 ∑_(i=0)^374 (400^i/i!) = 0.9369
So the probability that at least 375 people are struck by lightning in a year is 0.9369, or about 93.69%.
It's important to note that these probabilities are based on the assumption that the number of people struck by lightning in a year follows a Poisson distribution with a mean of 400. This may not be a perfect model, but it's a reasonable approximation based on the available data. Additionally, the chances of being struck by lightning are still relatively low - even at the high end of our estimates, only about 0.1% of the US population would be affected.

Based on the given information of 400 people being struck by lightning in the United States on average each year, we can calculate the probabilities for the scenarios you mentioned.
a. The probability that at most 425 people are struck by lightning in a year:
To calculate this, we'll need to know the distribution of people being struck by lightning, which isn't provided. However, let's assume it follows a normal distribution with a mean of 400 and some standard deviation. In this case, we would calculate the z-score for 425 people and find the corresponding probability from the z-table. Unfortunately, without the standard deviation, we cannot compute the exact probability.
b. The probability that at least 375 people are struck by lightning in a year:
Similarly, to calculate this probability, we'd need the standard deviation to find the z-score for 375 people and then find the corresponding probability from the z-table. Again, without the standard deviation, we cannot compute the exact probability.
In conclusion, without knowing the standard deviation or the distribution of people being struck by lightning, we cannot provide a precise probability for the given scenarios.

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Answer:

21 1/3

Step-by-step explanation:

8 + ( 2 × 5 ) × 3 4 ÷ 9

2 x 5 = 10

10 x 3 = 30

30 x 4 = 120

13 1/3

8 + 13 1/3 = 21 1/3

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

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The height of squared pyramid is \(\frac{1}{3}h\) unit.

A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.

Volume of cube \(= (side)^3 \ unit^3\)

Given the height of cube is \(h\) unit.

Volume of cube is \(h^3 \ unit^3\)

Let the height of squared pyramid is \(x\) unit

Volume of squared pyramid is \(\frac{1}{3} h^{2} \times x \ unit^3\)

According to the question, we have

Volume of cube = \(6 \times\) volume of squared pyramid

\(\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h\)

Therefore, the height of squared pyramid is \(\frac{1}{3}h\) unit.

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Answer:

x = 33

Step-by-step explanation:

Sum of the angles in a triangle is 180 so,

35 + 3x + 2x - 20 = 180

35 + 5x - 20 = 180

15 + 5x = 180

5x = 180 - 15

x = 165/5

x = 33

The algebraic representation of (x,y)-> (5x, 5y) represents transformation of  dilate by a scale factor of 5.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The x and y coordinates of the original figure are multiplied by the scale factor to discover spots on the dilated image when a dilation in the coordinate plane has the origin as the centre of dilation. The algebraic representation of the dilation is (x, y) for scale factor k. (kx, ky). K > 1 for enlargements.

Given,

The algebraic representation of (x,y)-> (5x, 5y) represent transformation given below:

(B) dilate by a scale factor of 5

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Answer:

f(a)=3(a+2)-2

f(4)=3(4+2)-2

f(4)=3(6)-2

f(4)=18-2

f(4)=16

Hope  this helps!

Answer:

f(4)= 16

Step-by-step explanation:

f(4)= 3(a + 2) -2

f(4)= 3(4 + 2) -2

f(4) = 3(4) + 3(2) -2

f(4)= 12 + 6 -2

f(4)= 18-2

f(4)= 16

Answer:

f(5) = 20

Step-by-step explanation:

f(5) = 3(a+ 2) − 1

We put the 5 in for the variable a and solve.

f(5) = 3(5 + 2) - 1

f(5) = 3(7) - 1

f(5) = 21 - 1

f(5) = 20

So, the answer is f(5) = 20

Answer:

x = 16.5

Step-by-step explanation:

The best way to solve this is to use cross multiplication.

\(\frac{3}{x} = \frac{4}{22}\)

4 * x = 4x

22 * 3 = 66

Your equation is 66 = 4x.

Divide both sides by 4.

66/4 = 16.5

4x/4 = x.

16.5 = x.

Therefore, your answer is 16.5.

I hope this is helpful!

The solution to the inequality is: x >= 55 or x <= -32.

what is inequality?

An inequality is a mathematical statement that compares two values or expressions and indicates that they are not equal. In other words, an inequality shows the relationship between two values or expressions that are not the same.

To solve the inequality, we need to isolate x on one side of the inequality symbol in each of the two inequalities.

For the first inequality:

3 - 2/5 * x <= -19

Subtracting 3 from both sides, we get:

-2/5 * x <= -22

Dividing both sides by -2/5 (which is the same as multiplying both sides by -5/2), we get:

x >= 55

For the second inequality:

-3/4 * x >= 24

Dividing both sides by -3/4 (which is the same as multiplying both sides by -4/3), we get:

x <= -32

Therefore, the solution to the inequality is:

x >= 55 or x <= -32.

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The probability that x is between 40 and 50 will be 0.5.

From the information, the continuous random variable x is uniformly distributed on the interval [35, 45].

The probability that x is between 40 and 50 will be:

(45 - 40)/(45 - 35)

= 5/10

= 0.5

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B = PAKP⁻¹ holds for k + 1. By induction, we conclude that B = PAKP⁻¹ for all integers k, positive and negative.

Let's prove that if B = PAP⁻¹ for some invertible matrix P, then B = PAKP⁻¹ for all integers k, positive and negative.

Let P be an invertible matrix, and let B = PAP⁻¹. Now, consider an arbitrary integer k, positive or negative. Our goal is to show that B = PAKP⁻¹. We will proceed by induction on k.

Base case: k = 0.

In this case, P⁰ = I, where I represents the identity matrix. Thus, B = P⁰AP⁰⁻¹ = AI = A = P⁰AP⁰⁻¹ = PAP⁻¹. Hence, B = PAKP⁻¹ holds for k = 0.

Induction step:

Assume that B = PAKP⁻¹ holds for some integer k. We aim to show that B = PA(k+1)P⁻¹ also holds. Using the induction hypothesis, we have B = PAKP⁻¹. Multiplying both sides by A, we obtain AB = PAKAP⁻¹ = PA(k+1)P⁻¹. Then, multiplying both sides by P⁻¹, we get B = PAKP⁻¹ = PA(k+1)P⁻¹.

Therefore, B = PAKP⁻¹ holds for k + 1. By induction, we conclude that B = PAKP⁻¹ for all integers k, positive and negative.

In summary, we have shown that B = PAKP⁻¹ for all integers k, positive and negative.

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To determine the value such that 99% of all other values are smaller, we can use the concept of the standard normal distribution and the z-score.

Given a normally distributed population with a mean \(\sf \mu = 63,015 \\\) and a standard deviation \(\sf \sigma = 11,467 \\\), we want to find the value \(\sf x \\\) such that 99% of the values are smaller than \(\sf x \\\).

To do this, we need to find the z-score corresponding to the desired percentile (in this case, 99%). We can use a standard normal distribution table or a calculator to find the z-score.

Using a standard normal distribution table, we find that the z-score corresponding to the 99th percentile is approximately 2.326.

The z-score formula is given by:

\(\sf z = \frac{x - \mu}{\sigma} \\\)

Rearranging the formula to solve for \(\sf x \\\):

\(\sf x = z \cdot \sigma + \mu \\\)

Substituting the known values:

\(\sf x = 2.326 \cdot 11,467 + 63,015 \\\)

Calculating:

\(\sf x \approx 26,693.46 + 63,015 \\\)

\(\sf x \approx 89,708.46 \\\)

Therefore, the value such that 99% of all other values are smaller is approximately $89,708.46.

A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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The median is the midpoint of the distribution. it is the number such that half of the observations fall above it, and half fall below it.

The following statement is correct.

The median M of a distribution is the number at which half of the observations are smaller and half are greater.

For skewed distributions or distributions containing outliers, the median is the most useful metric of central tendency. For example, in highly skewed income distributions, the median is frequently utilised as a measure of central tendency.

For normal distributions, the mean is employed. For skewed distributions, the median is typically utilised. The mean is not a reliable tool since it is heavily impacted by outliers. Because it is far more robust and comprehensible, the median is better suited for determining central tendency from skewed distributions.

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Answer:

27

Step-by-step explanation:

you can do cross multiplication

90/100 = x/30

100x=2700

x=27

Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

A measurement that shows the circumference of each of the buttons in centimeters is: D. 37.7 cm.

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circle = πr²

Where:

r represents the radius of a circle.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of a circle = πr²

36π = π × r²

Radius, r = √36

Radius, r = 6 centimeters.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

Circumference of a circle = 2πr

Circumference of a circle = 2 × 3.14 × 6

Circumference of a circle = 37.7 cm.

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Complete Question:

Rolando is making buttons that are shaped like circles. Each button has an area of 36π square centimeters. Which measurement shows the circumference of each of the buttons in centimeters?

Answer

A 113.1 cm

B 18.8 cm

C56.5 cm

D 37.7 cm

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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Answer:

B

Step-by-step explanation:

Put them in there calculator

Answer:

16 1/8

Step-by-step explanation:

23/2 + 4 5/8

23/2 + 37/8

129/8=

16 1/8 in simpliest form :))

i hope this helped Imao

I'm not sure but i think it's 16.125

Answer:

Step-by-step explanation:

-6 is rational because it can be written as a ratio -6/1 for example

Answer:

c

Step-by-step explanation:

Answer:

f(x) = x-3/sqrt x