Un cazador ubicado en la coordenada C(-5,8) y un venado ubicado en las coordenadas V(7,1) escala 1 unidad= 10m determina los metros de separación entre el cazador u el venado en línea recta

Answer:

0,5

Step-by-step explanation:

slope: 0

y-intercept:(0,5)

The statement "Pr(E ∪ F) = Pr(E) + Pr(F)" is generally false. The probability of the union of two events, E and F, is not always equal to the sum of their individual probabilities. It holds true only if the events E and F are mutually exclusive.

The probability of the union of two events, E and F, denoted as Pr(E ∪ F), represents the probability that at least one of the events E or F occurs. When events E and F are mutually exclusive, it means that they cannot occur simultaneously. In this case, the probability of their union is equal to the sum of their individual probabilities: Pr(E ∪ F) = Pr(E) + Pr(F).

However, if events E and F are not mutually exclusive, meaning they can occur together, then the formula Pr(E ∪ F) = Pr(E) + Pr(F) does not hold. In such cases, the formula overcounts the probability by including the intersection of the events twice. To account for the overlapping portion, we need to subtract the probability of their intersection: Pr(E ∪ F) = Pr(E) + Pr(F) - Pr(E ∩ F).

In conclusion, the equation Pr(E ∪ F) = Pr(E) + Pr(F) holds true only if events E and F are mutually exclusive. Otherwise, the formula should include the probability of their intersection as well.

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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You can't find slope intercept form because it is perpendicular so the equation is x= -8

Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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The solutions to the system of equations are (-2,-6) and (4,6)

We have:

-2x + y = -2

\(y = -\frac12x^2 + 3x + 2\)

Next, we plot the graph of both functions.

From the attached graph, the equations intersect at (-2,-6) and (4,6)

Hence, the solutions to the system of equations are (-2,-6) and (4,6)

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

first one : x=−2y−5z−17

2nd one: x= 3 /2 y−z−8

3rd one: x= −1 /3 y+ 1 /3 z+1

Step-by-step explanation:

Answer:

The sum of the other two numbers is 120.

Step-by-step explanation:

To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,

(x+y+z) ÷ 3 =50

x=30

Divide both sides by three to remove the denominator.

(30+y+z)÷ 3 (*3) = 50(*3)

(30+y+z)=150

Subtract 30 from both sides.

(30+y+z)-30= 150-30

y+z=120

When the values x, x⁻¹, x², √x, and x³ are arranged in ascending order, the middle value, which is the median, is x.

The given values are x, x⁻¹, x², √x, and x³.

First, let's arrange these values in ascending order:

x⁻¹, √x, x, x², x³.

Now, we need to identify the middle value. Since we have an odd number of values, the median will be the middle value when the values are arranged in ascending order.

Looking at the arranged values, we see that the middle value is x.

Therefore, the median of the given values x, x⁻¹, x², √x, and x³, where 0 < x < 1, is x.

In summary, when the values x, x⁻¹, x², √x, and x³ are arranged in ascending order, the middle value, which is the median, is x.

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The probability of running out of water decreases.

The given problem can be solved by using the concept of the normal distribution. Normal distribution, also called Gaussian distribution, is a probability distribution that occurs naturally in many situations. In this distribution, data values cluster around a central point, and the further away a value is from the center, the less likely it is to occur. The normal distribution has two parameters: the mean (μ) and the standard deviation (σ). The mean is the center of the distribution, and the standard deviation is a measure of how spread out the distribution is. The normal distribution is symmetric about the mean. It is a continuous distribution, meaning that it can take any value between negative infinity and positive infinity. The area under the normal curve represents the probability of a random variable taking a certain value or falling within a certain range of values. The total area under the normal curve is equal to 1.
Given:
The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter).
You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water.
What is the probability that you will run out?
We need to find the probability that the amount of water consumed by 10 people will be greater than 35 Liters. Let X be the random variable representing the amount of water consumed by each person. X is normally distributed with mean μ = 3 Liters and standard deviation σ = 1 Liter.
Then, the total amount of water consumed by 10 people is given by the sum of 10 independent identically distributed (i.i.d.) random variables:
Y = X1 + X2 + ... + X10
where X1, X2, ..., X10 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 35 Liters. Therefore, you will run out of water if:
Y > 35
or equivalently:
(Y - μ10) / σ10 > (35 - μ10) / σ10
where μ10 = 10μ = 30 Liters and σ10 = √(10)σ = √(10) Liters.
Thus, the probability that you will run out of water is:
P(Y > 35) = P[(Y - μ10) / σ10 > (35 - μ10) / σ10]
= P(Z > (35 - μ10) / σ10)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (35 - μ10) / σ10) = P(Z > (35 - 30) / √10)
= P(Z > 1.5811)
= 0.0564 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 10 people is 0.0564.
What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out?
In this case, the number of people has doubled, so the total amount of water consumed will also double. Thus, the total amount of water consumed by 20 people is given by:
Y = X1 + X2 + ... + X20
where X1, X2, ..., X20 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 70 Liters. Therefore, you will run out of water if:
Y > 70
or equivalently:
(Y - μ20) / σ20 > (70 - μ20) / σ20
where μ20 = 20μ = 60 Liters and σ20 = √(20)σ = 2.2361 Liters.
Thus, the probability that you will run out of water is:
P(Y > 70) = P[(Y - μ20) / σ20 > (70 - μ20) / σ20]
= P(Z > (70 - μ20) / σ20)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (70 - μ20) / σ20) = P(Z > (70 - 60) / 2.2361)
= P(Z > 4.4721)
= 0 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 20 people is zero.

Will the probability of running out of water increase or decrease? Why?

The probability of running out of water decreases when the number of people increases and the amount of water brought doubles. This is because the total amount of water consumed increases proportionally to the number of people, but the standard deviation of the distribution of the amount of water consumed decreases proportionally to the square root of the number of people. This means that the distribution of the total amount of water consumed becomes narrower and more concentrated around the mean as the number of people increases.

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The evaluated value of the given integral is \($-\frac{27\pi}{4} \left(\sqrt{3} - 2\right)$\).

To sketch the solid and evaluate the integral, let's break down the given triple integral:

\(\[\int_0^{\pi/6} \int_0^{\pi/2} \int_0^9 \rho^2 (\sin \phi) \, d\rho \, d\theta \, d\phi\]\)

This triple integral represents the volume of a solid. We can interpret it as follows:

- The variable \($\rho$\) ranges from 0 to 9, representing the distance from the origin.

- The variable \($\theta$\) ranges from 0 to \($\pi/2$\), representing the azimuthal angle.

- The variable \($\phi$\) ranges from 0 to \($\pi/6$\), representing the polar angle.

To sketch the solid, we visualize its boundaries in the spherical coordinate system. The solid is bound by the following:

- \($\rho$\) varies from 0 to 9, representing the radial distance from the origin.

- \($\theta$\) varies from 0 to \($\pi/2$\), representing the azimuthal angle or rotation around the z-axis.

- \($\phi$\) varies from 0 to \($\pi/6$\), representing the inclination angle from the positive $z$-axis.

Since the integral represents the volume, the solid extends within these boundaries. However, without additional information about the function \($\rho^2 (\sin \phi)$\), we cannot determine the exact shape of the solid.

To evaluate the integral, we perform the integration step by step:

1. Integrate with respect to \($\rho$\):

\(\[\int_0^9 \rho^2 (\sin \phi) \, d\rho = \frac{\rho^3}{3} (\sin \phi) \bigg|_0^9 = \frac{9^3}{3} (\sin \phi) = 27 (\sin \phi)\]\)

2. Integrate with respect to \($\theta$\):

\(\[\int_0^{\pi/2} 27 (\sin \phi) \, d\theta = 27 (\sin \phi) \theta \bigg|_0^{\pi/2} = 27 (\sin \phi) \left(\frac{\pi}{2} - 0\right) = \frac{27\pi}{2} (\sin \phi)\]\)

3. Integrate with respect to \($\phi$\):

\(\[\int_0^{\pi/6} \frac{27\pi}{2} (\sin \phi) \, d\phi = -\frac{27\pi}{2} \cos \phi \bigg|_0^{\pi/6} = -\frac{27\pi}{2} \left(\cos \frac{\pi}{6} - \cos 0\right) = -\frac{27\pi}{2} \left(\frac{\sqrt{3}}{2} - 1\right) = -\frac{27\pi}{4} \left(\sqrt{3} - 2\right)\]\)

Thus, the evaluated value of the given integral is \($-\frac{27\pi}{4} \left(\sqrt{3} - 2\right)$\).

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Complete Question:

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Sketch the solid whose volume is given by the integral below and evaluate the integral. \(\[\int_0^{\pi/6} \int_0^{\pi/2} \int_0^9 \rho^2 (\sin \phi) \, d\rho \, d\theta \, d\phi\]\)

Step-by-step explanation:

If A [4 3 ] is a singular matrix find the

[a 3 ] value of 'a'.

a=4

Answer:

B.

(づ￣ ³￣)づHave A nice day Cute Sir

Answer:

Step-by-step explanation:

160

Answer:

b=-4

Step-by-step explanation:

80=-20b

If you divide -20 from both sides, you get -4=b. That's the answer.

PLZ MARK BRAINLIEST!!!

Answer:

-4

Step-by-step explanation:

80= - 20b

divide both by -20

that gives us -4=b

so, b= -4

Have a great day

There are 720 ways the first three positions of the order of finish can occur assuming no ties in a race with 10 horses.

To calculate the number of ways the first three positions can occur, we use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of objects and r is the number of objects we are choosing.

In this case, we have 10 horses and we want to choose the first three positions, so we get:

10P3 = 10! / (10 - 3)! = 10! / 7! = (10 x 9 x 8) / (3 x 2 x 1) = 720

Therefore, there are 720 ways the first three positions of the order of finish can occur assuming no ties.

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Answer:

Step-by-step explanation:

We know that vertical angles are congruent.

Use this property to set up equation.

Substitute the values of angles and solve for x.

The value of x is 9

Answer:

A drop cap (dropped capital) is a large capital letter used as a decorative element at the beginning of a paragraph or section.

Step-by-step explanation:

hope this helps

The $130,000 would be considered as Statistic.

In statistics, a population refers to the entire group of individuals or items of interest, while a sample is a subset of the population. A parameter is a numerical value that describes a characteristic of a population.

In this scenario, the survey results are based on a sample of 10,000 graduates out of a total population of 200,000 graduates. The average salary of $130,000 is calculated from the data collected within this sample. Since it is derived from the sample, it is considered a statistic.

A parameter would be used to describe the average salary of the entire population of 200,000 graduates if data were collected from all of them. However, in this case, the given information only pertains to the subset of the sample.

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Answer:

She earned 80% right

Step-by-step explanation:

You start by dividing the points earned by the total questions.

\( \frac{24}{30 } = .8\)

then multiply by 100

\(.8 \times 100 = 80\)

then you add the percent symbol

\(80\%\)

The probability of choosing all five white balls correctly from a bowl of 69 white balls and the probability of choosing the correct red ball from a bowl of 29 red balls is \({}^{69}C_5/29\) .

The probability of choosing all five white balls correctly can be calculated using the formula for combinations, where the order does not matter and the balls are chosen without replacement. The probability is given by:

P(Choosing all 5 white balls correctly) = (Number of ways to choose 5 white balls correctly) / (Total number of possible combinations)

The number of ways to choose 5 white balls correctly is 1, as there is only one correct combination.

The total number of possible combinations can be calculated using the formula for combinations, where we choose 5 balls out of 69. It is given by:

Total number of combinations = \({}^{69}C_5\)

Next, we need to calculate the probability of choosing the correct red ball from a bowl of 29 red balls. Since there is only one correct red ball, the probability is 1/29.

Finally, to find the likelihood of being the winner of the Powerball lottery, we multiply the probability of choosing all five white balls correctly by the probability of choosing the correct red ball:

Likelihood = P(Choosing all 5 white balls correctly) * P(Choosing correct red ball)

=\({}^{69}C_5 \times 1/29\\\)

This gives us the probability of being the winner of the Powerball lottery.

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To find the multiplicative inverse of an element in a set, we need to find another element in the set that, when multiplied by the first element, gives the multiplicative identity element. All elements in the set have a multiplicative inverse except for 0.

To find the multiplicative inverse of an element in a set, we need to find another element in the set that, when multiplied by the first element, gives the multiplicative identity element (usually 1).

For example, in the set {1, 2, 3, 4, 5} under multiplication modulo 6, we have:

The multiplicative inverse of 1 is 1 (1 x 1 = 1 mod 6).

The multiplicative inverse of 2 is 4 (2 x 4 = 8 = 1 mod 6).

The multiplicative inverse of 3 is 5 (3 x 5 = 15 = 3 x 1 = 1 mod 6).

The multiplicative inverse of 4 is 2 (4 x 2 = 8 = 2 x 4 = 1 mod 6).

The multiplicative inverse of 5 is 3 (5 x 3 = 15 = 3 x 5 = 1 mod 6).

Note that every element in the set has a multiplicative inverse except for 0. This is because any number multiplied by 0 is 0, not 1.

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Answer:

do u have a better quality image

Step-by-step explanation:

Answer:

28, 30, and 32

Step-by-step explanation:

It gives you the equation, so you just need to solve for x first:

\(x+3+x-1+x+1=90\\3x+3=90\\3x=87\\x = 29\)

Plug that into each:

29 + 3 = 32

29 - 1 = 28

29 + 1 = 30

Answer:

The number y decreased by 12.

Step-by-step explanation:

Answer

the answer is b y decreased by 12

Step-by-step explanation:

that is what y-12 is

The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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Answer:

The answers are:

9 feet and 4 feet

3 feet and 12 feet

6 feet and 6 feet

The value of angle with x, given the equation on the circle, is 4) 3.

The angle is given by the expression:
31x + 3

The same angle is shown to be a right angle with the line EF being straight and therefore a right angle. Right angles have a total measure of 90 degrees.

The value of x can therefore be found by equating the expression to 90 degrees:
31x + 3 = 90

31 x = 90 - 3

x = 87 / 31

x = 2.8

x = 3

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Answer:

negative

Step-by-step explanation:

:Done