Which line of best fit accurately represents the given scatter plot?

I think the first one c and the second one a

Step-by-step explanation:

b=

180-40=2b

b=70°

a= 180-90-70

a=20°

The probability of Daria and Blake being chosen together is 1/15. So correct option is A.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.

The concept of probability is used in a wide range of fields, including mathematics, statistics, science, engineering, finance, and economics. It is used to make predictions and decisions based on uncertain outcomes.

The probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. This is known as the classical definition of probability. Other methods of calculating probability include empirical probability, which is based on observations or experiments, and subjective probability, which is based on personal judgment or opinion.

The total number of ways to choose 2 guards from 6 volunteers is given by the combination formula:

C(6,2) = 6! / (2! * 4!) = 15

Out of these 15 possible combinations, there is only one way to choose Daria and Blake together. Therefore, the probability of Daria and Blake being chosen together is:

1/15

So, the answer is (A) 1/15.

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EXPLANATION

In conclusion, the factored expression is 2(3x+2)

To find the equation of the plane that passes through the points P(1, 3, 2), Q(3, -1, 6), and R(5, 2, 0), we can use the following steps.

Step 1: Find two vectors in the plane by calculating PQ and PR. PQ = Q - P = (3, -1, 6) - (1, 3, 2) = (2, -4, 4)PR = R - P = (5, 2, 0) - (1, 3, 2) = (4, -1, -2)Step 2: Find the cross product of the two vectors calculated in step 1. This will give us a vector that is normal to the plane. PQR = PQ × PR = (2, -4, 4) × (4, -1, -2) = (-14, 16, 14)Step 3: Find the equation of the plane using the point-normal form. The equation of the plane is: (x - 1) (-14) + (y - 3) (16) + (z - 2) (14) = 0-14x + 16y + 14z = 78Therefore, the equation of the plane that passes through the points P(1, 3, 2), Q(3, -1, 6), and R(5, 2, 0) is -14x + 16y + 14z = 78.Main answer:To find the equation of the plane, we used the point-normal form. In this form, the equation of the plane is given by:(x - x1)A + (y - y1)B + (z - z1)C = 0Where (x1, y1, z1) is a point on the plane, and A, B, and C are the direction cosines of the normal to the plane.In this case, we found two vectors PQ and PR in the plane by calculating the difference between the coordinates of the given points. We then found the cross product of these vectors to get a vector that is normal to the plane. Finally, we used the point-normal form of the equation to find the equation of the plane that passes through the given points.

Therefore, the equation of the plane that passes through the points P(1, 3, 2), Q(3, -1, 6), and R(5, 2, 0) is -14x + 16y + 14z = 78.

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Answer:

The two little blue boxes are going

Step-by-step explanation:

Lets start with the 0s.

Two zeros is 0. so its

_ _ _ _ 0.

Now we add 2 and 0 which is 2.

_ _ _ 2 0

now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below

_ _ 0 2 0

now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!

_ 3 0 2 0

Now its 2 + 1 which is 3

your answer is

33020

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Given

The table,

The sample size is 27.

To find:

The mean weight of these 27 babies.

Explanation:

It is given that,

That implies,

The mean weight of 27 babies is,

Hence, the mean weight of 27 babies is 6.1 pounds.

Answer:

Happened in 1986

Maybe 37 years ago?

Answer:

Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go

The surface area of the composite rectangular prism is 434 cm²

The surface area of a rectangular prism is given by S.A = 2(lb + lh +bh) where l = length, b = base and h = height

Now, to find the surface area of the composite figure, we proceed as follows.

The surfcae area of the composite figure S.A = S' + S - A where

So, S' =  2(LB + LH + BH) where

So, S' =  2(LB + LH + BH)

= 2(10 × 7 + 10 × 5 + 7 × 5)

= 2(70 + 50 + 35)

= 2(120 + 35)

= 2(155)

= 310 cm²

Also,  S =  2(lb + lh + bh) where

So, S' =  2(lb + lh + bh)

= 2(8 × 3 + 8 × 4 + 3 × 4)

= 2(24 + 32 + 12)

= 2(56 + 12)

= 2(68)

= 136 cm²

Also, A = bh where

So, A = bh

= 3 × 4

= 12 cm²

S.A = S' + S - A

= 310 cm² + 136 cm² - 12 cm²

= 434 cm²

So, the surface area is 162 cm²

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Answer: The problem asks to solve for x. Equation B gives you the value of y, y = 2, so you can substitute 2 into Equation A for y.

Step-by-step explanation:

The end behavior of the function f(x) = -2∛x can be determined by looking at the highest degree term in the function, which is ∛x. Since the cube root of a negative number is also negative, as x approaches negative infinity, f(x) approaches negative infinity as well. Similarly, as x approaches positive infinity, f(x) approaches positive infinity. Therefore, the correct answer is:

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

False. If E and F are independent events, then Pr(E|F) is not necessarily equal to Pr(E).

The probability of an event E given event F, denoted as Pr(E|F), represents the probability of event E occurring given that event F has already occurred. In the case of independent events, the occurrence of one event does not affect the probability of the other event occurring.

By definition, two events E and F are independent if and only if Pr(E ∩ F) = Pr(E) × Pr(F), where Pr(E ∩ F) represents the probability of both events E and F occurring.

Now, let's consider the statement that Pr(E|F) = Pr(E) when E and F are independent events. This implies that the probability of event E occurring given that event F has occurred is the same as the probability of event E occurring without any knowledge of event F.

However, this is not necessarily true. The conditional probability Pr(E|F) takes into account the occurrence of event F, which may affect the probability of event E. Even if events E and F are independent, the value of Pr(E|F) may differ from Pr(E) if the occurrence of event F provides additional information or changes the probability distribution of event E.

The statement "Pr(E|F) = Pr(E)" when E and F are independent events is false. While independence between events E and F ensures that the occurrence of one event does not affect the probability of the other event, it does not guarantee that the conditional probability Pr(E|F) will be equal to the unconditional probability Pr(E).

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The expression 24x² + 68x + 512 represents the perimeter of the living room, given the expression for its area.

Let's begin by examining the given expression for the area of the square living room: a = 6x² + 17x + 128. Here, 'a' represents the area, and 'x' represents the side length of the square.

The area of a square is calculated by multiplying the length of one side by itself, or squaring the side length. Therefore, we have the equation:

a = x * x

Now, we can equate the expression for the area to the equation for the square's side length:

6x² + 17x + 128 = x²

To find the side length of the square, we need to solve this quadratic equation. Rearranging the terms, we have:

x² - 6x² + 17x - 128 = 0

The perimeter of a square is the sum of all its sides. Since a square has four equal sides, we can express the perimeter as:

P = 4x

Here, 'P' represents the perimeter, and 'x' represents the side length of the square.

Substituting the expression for 'x' from the area equation, we have:

P = 4(6x² + 17x + 128)

Simplifying further:

P = 24x² + 68x + 512

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Complete Question:

The area of a square living room can be represented by the expression: a=6x² + 17x + 128. Then what is the perimeter of the living room?

Answer:

w = -3

Step-by-step explanation:

Try M*thway for problems like these. For future reference! I had to censor the site but you probably know what it is.

Answer:

AB and CD - Parallel Lines

EF and CD - Perpendicular Lines

GH and EF - Neither Parallel nor Perpendicular Lines

Let me know if this helps!

Answer:

EF and CD ------- perpendicular lines

AB and CD --------parallel Lines

GH and EF --------- neither parallel nor perpendicular lines

Step-by-step explanation:

Parallel lines are lines that do not ever intersect

Perpendicular lines create 90 degree angles

neither is just neither

The loop will keep executing infinitely, leading to an infinite loop.

What is for loop ?

For loop can be defined as, it run the given code in the given number of times , at first it intialises the value and than checks the condition and than increments or decrements the value.

Yes, the given for-loop is an infinite loop.

The loop condition j < 1000 is based on the variable j, which is initialized to 0, but j is never incremented or modified inside the loop. Therefore, the condition j < 1000 will always be true, and the loop will continue to execute indefinitely.

Although the variable count is being incremented inside the loop, it is not being used in the loop condition or in any other way that would cause the loop to terminate.

Hence, the loop will keep executing infinitely, leading to an infinite loop.

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Answer:

2,889,124,530

Answer and explanation:

1. 9:12 or \(\frac{9}{12}\) or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or \(\frac{8}{16}\) or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or \(\frac{9}{10}\) or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or \(\frac{10}{12}\) or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or \(\frac{12}{9}\) or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. \(\frac{8}{6}\) or \(\frac{40}{30}\) or \(\frac{16}{12}\)

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. \(\frac{6}{7}\) or \(\frac{42}{49}\) or \(\frac{60}{70}\)

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. \(\frac{2}{3}\) or \(\frac{4}{6}\) or \(\frac{20}{30}\)

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

Answer:

y = 42°

Step-by-step explanation:

The third vertex in the triangle with y is adjacent to a right angle, thus is right.

The sum of the 3 angles in a triangle = 180°, then

y = 180° - (90 + 48)° = 180° - 138° = 42°

The value of angle L, x and angle M is 55°, 35 and 60° respectively

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

From the triangle:

∠OLM + ∠MLN = 180° (sum of angles in a straight line)

125 + ∠MLN = 180°

∠MLN = 55°

Also:

∠MLN + ∠MNL + ∠LMN = 180 (sum of angle in a triangle)

substituting:

55 + (2x - 10) + 65 = 180

2x + 110 = 180

2x = 70

x = 35°

∠LMN = 2x - 10 = 2(35) - 10 = 60°

The value of angle M is 60°

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The required position of the -2.25 lies above the -2.25 on the vertical number line.

Given that,
If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line is to be determined.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Since -2.5 is 0.25 lower than -2.25, and also the -2.25 is greater than -2.5.
So on the vertical number line, -2.25 lies 0.25 units above the number -2.5.

Thus, the required position of the -2.25 lies above the -2.25 on the vertical number line.

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Answer:

On the vertical number line, -2.5 is located below -2.25.

Step-by-step explanation:

edmentum answer. have a good day

Answer:

1080 total inches of ribbon. 60 pieces of ribbon can be cut.

Step-by-step explanation:

Firstly, the dressmaker has 15 rolls of ribbon that are 6 feet in length. Multiply those to see how many feet in total, 90. Then multiply this by 12 (there are 12 inches in a foot) to get the amount of total inches: 1080.

This is the answer to the question below the problem.

To answer the bigger question at hand:

You would need to take 1080 divided by 18 to find how many pieces the dressmaker can cut. She can cut exactly 60 pieces from her 15 rolls of ribbon.

Answer:

= 11

Find the Greates Common Deviser :

Without additional information, it is impossible to determine the probability that the toy is not cool.

Without additional information, it is impossible to determine the probability that the toy is not cool. This is because the color of the toy does not provide any information about its coolness. For example, a red toy could be a cool action figure or a boring stuffed animal. Therefore, the color of the toy does not provide any insight into its coolness, and thus any probability assigned to the toy being not cool would be purely speculative and not based on any information. In order to determine the probability that the toy is not cool, we would need additional information, such as what the toy is, what its features are, or who makes it.

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Answer:

1.5

Step-by-step explanation:

Because if you divide 30 by 20 you get 1.5 to check if it’s correct you multiple 1.5 by 20

Answer:

It has no solution within Real numbers. Its solutions are Complex/imaginary, since its discriminant is negative (-64).

Step-by-step explanation:

The normalized form of the equation

(x+2)^2= - 16

x^2 + 4x + 4 = - 16

x^2 + 4x + 20 = 0

We have in the form ax^2 + abx + c = 0

a = 1

b = 4

c = 20

Discriminant is b^2 - 4ac = 4^2 - 4*1*20 = 16 - 80 = - 64

Discriminant is negative, therefore, no Real solutions.