let me know if the question is incomplete! ill add it in the comments just in case.
question: if 0

The set of all points equidistant from the points A(-2, 4, 4) and B(5, 2, -3) forms a plane. This plane can be described by an equation that represents the locus of points equidistant from A and B.

To find the equation of the plane, we can first calculate the midpoint M between points A and B, which is given by the coordinates (x₀, y₀, z₀) of M, where x₀ = (x₁ + x₂)/2, y₀ = (y₁ + y₂)/2, and z₀ = (z₁ + z₂)/2.
Midpoint M:
x₀ = (-2 + 5)/2 = 3/2
y₀ = (4 + 2)/2 = 3
z₀ = (4 - 3)/2 = 1/2
Next, we calculate the direction vector D from A to B, which is obtained by subtracting the coordinates of A from those of B.
Direction vector D:
dx = 5 - (-2) = 7
dy = 2 - 4 = -2
dz = -3 - 4 = -7
Using the midpoint M and the direction vector D, we can write the equation of the plane as follows:
(x - x₀)/dx = (y - y₀)/dy = (z - z₀)dz
Substituting the values we calculated earlier, the equation becomes:
(x - 3/2)/7 = (y - 3)/(-2) = (z - 1/2)/(-7)
This equation represents the set of all points equidistant from points A(-2, 4, 4) and B(5, 2, -3), and it describes a plane in three-dimensional space.

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Answer:

x = -5

Step-by-step explanation:

12x - 3x + 4 = 5x - 16

9x + 4 = 5x - 16

9x - 5x = -4 - 16

4x = -20

x = -5

Answer:

\(x=-5\)

The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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Answer:

137

Step-by-step explanation:

I hope this helps

Answer:

a=

Step-by-step explanation:

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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The direction of the plane is still north, because the plane is moving forward at a greater speed than the wind is pushing it back.

a) The plane will travel 760 km in 2 hours. To solve this, we need to first calculate the resultant velocity of the plane.

The resultant velocity is 430 km/h in the northwards direction plus the wind velocity of 100 km/h in the westwards direction.

This results in a velocity vector of  $(430)² + (100)² = 468.3$ km/h in the northwest direction.

As the plane has a velocity of 468.3 km/h in this direction, it will travel $(468.3)(2)$ = 936.6 km in 2 hours.

b) The direction of the plane is northwest.

Therefore, the direction of the plane is still north, because the plane is moving forward at a greater speed than the wind is pushing it back.

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Step-by-step explanation:

\( \frac{x - 9}{15} = \frac{2x - 9}{10} \\ \)

\( \frac{x - 9}{3} = \frac{2x - 9}{2} \\ \)

\(2( x - 9) = 3(2x - 9) \\ \)

\(2x - 18 = 6x - 27\)

\(27 - 18 = 6x - 2x\)

\(9 = 4x\)

\(x = \frac{9}{4} \\ \)

Answer:

24 times

Step-by-step explanation:

16 divided by 2/3 is 24

hope this helped!

Answer:

2/9 is it

Step-by-step explanation:

Answer:

m<DEB=113°

Step-by-step explanation:

Hokay, so-

given m<ABH=67°, you know that

m<CBF=67° | verticle angles

and you know that:

m<ABF=m<CBH | verticle angles

--> 67°+67°+m<ABF+m<CBH=360°

134°+m<ABF+m<CBH=360°

m<ABF+m<CBH=226°

x+x=226°

2x=226°

x=113°

x=m<ABF=m<CBH=113°

m<BFE=m<CBF=67° | alt. interior angles

Since you are also given BE=BF, you know that BEF is an isos. triangle, meaning:

--> m<BEF=m<BFE=67°

now that you know what m<BEF is,

180°-m<BEF=m<DEB

180°-67°=m<DEB

m<DEB=113°

orrrrr

you could have skipped all that and just figured it out in the first half when you found x=113°, and see that

m<ABF=m<BFG | alt. int. angles

to realize that m<DEB=113° but I'm typing this in the middle of my geo RSM class so my brains pretty much shut off now qwq

The margin of error is 2.326 for the supplied values of  c, σ, and n, which are 0.98, 0.78, and 150 respectively.

Margin is the term used to describe the equity that a trader has in their account. Using funds borrowed from a broker to buy stocks is referred to as "marging" or "buying on margin." Instead of a typical brokerage account, you must have a margin account to execute this. Beginning with your gross profit, which is the distinction between revenue and COGS, you may compute profit margin. Find the percentage of revenue that represents gross profit next. Calculate it by dividing your gross profit by your revenue. You can calculate your margin % by multiplying the sum by 100.

Given that,

Population standard deviation =  

 = 0.78

Sample size = n =150

α = 1 - 98% = 1 - 0.98 = 0.02

α= 2 = 0.02/ 2 = 0.01

Z*α = 2 = 0.01 = 2.326     (  Using z table    )  

Margin of error = E =  Z

The margin of error is 2.326 for the supplied values of  c, σ, and n, which are 0.98, 0.78, and 150 respectively.

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Answer:

3.5

Step-by-step explanation:

3x -(y / 2+ 5)                     x = 3.5 and y = 4

= 3(3.5) -(4/2 + 5)

= 3(3.5) -(2 + 5)

= 10.5 -(2 + 5)

= 10.5 -(7)

= 10.5 - 7

= 3.5

Answer:

B. x=3

Step-by-step explanation:

3x+4y=12

9x-4y=24

Add 9x and 3x

Subtract -4y from 4y which will cancel out

Add 12 and 24

12x=36

divide both sides by 12

x=3

Answer:

Step-by-step explanation:

a.) S(t)=9t-4

   S(4)= 9(4)-4

         =  36-4

   S(4)=32

b.)  S(4) means the number of people who got the flu in 4 days.

c.)  S(t)=23  t=23/s

d.)  I'm not sure on this one. S(t)=23 means 23 people got the flu in t days

e.) Choose values as inputs- these will be your x values, your putput will be the y.

I think I did this right, Hope this helps :)

The answer using positive exponents only is 16x^(24)y^(16).

To simplify the expression (2x^(6)y^(4))^(4), we need to use the properties of exponents. Specifically, we need to use the property that states (a^(m))^n = a^(m*n). This means that when we raise a power to another power, we multiply the exponents.

Using this property, we can simplify the expression as follows:

(2x^(6)y^(4))^(4) = 2^(4) * x^(6*4) * y^(4*4) = 16 * x^(24) * y^(16)

So, the simplified expression is 16x^(24)y^(16).

Therefore, the answer using positive exponents only is 16x^(24)y^(16).

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The ratio of YZ to UV is 2:1

1) Considering that the distance between YZ is 4√5 and the distance between points U and V is 2√5 the ratio of YZ to UV can be found through this:

2) Let's rationalize it by multiplying both numerator and denominator by √5 to simplify removing the radicals on the denominator.

3) So the ratio of YZ to UV is 2:1

The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.

Here is the procedure for the Michelson-Morley experiment:

1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.

2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.

3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.

4. Rotate the entire apparatus by 90 degrees and repeat the measurement.

5. Compare the interference patterns from the two orientations.

If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.

However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.

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Therefore, the vector form of the equation y = x² - 8x + 15 is y = (x - 4)² + 14. The vertex of the parabola is at the point (4, 14).

To convert the quadratic equation y = x² - 8x + 15 from standard form to vertex form, we need to complete the square by adding and subtracting a constant term. Here's the step-by-step explanation:

Factor the coefficient of x²: The coefficient of x² is 1, so we don't need to factor it.

Group the x terms: Rewrite the quadratic equation as y = (x² - 8x) + 15.

Complete the square: To complete the square, we need to add and subtract a constant term that will make the expression inside the parentheses a perfect square trinomial. The constant we need to add is half of the coefficient of x, squared: (8/2)² = 16.

y = (x² - 8x + 16 - 16) + 15 // add and subtract 16

y = (x - 4)² - 1 + 15 // factor and simplify

Simplify: Now we can simplify the expression by combining the constants -1 and 15 to get 14.

y = (x - 4)² + 14

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Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

Answer:

SAS - SAS should instead be A + SS

Step-by-step explanation:

$57 is the amount of the tip the server hopes to receive.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A server at a restaurant is hoping for a 15% tip from a large party.

The party's bill at the end of the night was $312.00.

Now we need to find 15% of $312

15% is converted to decimal by dividing with 100

15/100=0.15

Now multiply 0.15 with 380

0.15×380

57

Hence $57 is the amount of the tip the server hopes to receive.

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Answer:

90

Step-by-step explanation:

when you do 225/5, you find out that the number has been multiplied 45 times, so you should multiply 45 by 2 which is 90

The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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\( \tt \to \dfrac{96}{8} \)

\( \\ \\ \)

\( \tt \to \: 12 \: stickers\)

Verify:-

12 × 8 = 96

hope it helped u!

Answer:

96/8

I promise you that it os

Using the Empirical Rule, it is found that the standard deviation of the sample is of:

C. 4

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, that is, between 2 standard deviations below the mean and 2 standard deviations above the mean.

95% of people's heights are between 168 and 184 centimeters, hence, there are 4 standard deviations between 168 and 184 centimeters. Then:

\(4s = 184 - 168\)

\(4s = 16\)

\(s = \frac{16}{4}\)

\(s = 4\)

Hence, option C is correct.

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Step-by-step explanation:

possibly A

To summarize, a perfectly egalitarian society has a Gini index of 0, and a perfectly totalitarian society has a Gini index of 1.

The Gini index (G) measures how much the income distribution differs from absolute equality.

On the other hand, a perfectly totalitarian society (where a single person receives all the income) will have a Gini index of 1. This means that there is a huge inequality between individuals, with the single person receiving all of the income.

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The variance of z is - 177.1788.

The discrete random variable X representing the number of errors per 100 lines of software code has the following probability distribution. X 2 3 4 5 6 P(X) 0.01 0.25 0.4 0.3 0.04

We can apply Theorem 4.2 to find the variance of X. Theorem 4.2: Let X be a discrete random variable with probability distribution p(x). If the mean of X is μ and the variance of X is σ², then μ = E(X) = ∑x p(x) and σ² = Var(X) = E(X²) - [E(X)]².

Now, we find the mean and variance of the discrete random variable z = 3X – 2.

The mean of z = 3X - 2 is E(z) = E(3X - 2) = 3E(X) - 2.

Hence, the mean is μz = 3(2)(0.01) + 3(3)(0.25) + 3(4)(0.4) + 3(5)(0.3) + 3(6)(0.04) - 2= 14.53.

The variance of z = 3X - 2 is Var(z) = Var(3X) = 9Var(X).

Hence, the variance of X is σz² = 9Var(X) = 9[E(X²) - [E(X)]²] = 9[(2²)(0.01) + (3²)(0.25) + (4²)(0.4) + (5²)(0.3) + (6²)(0.04) - 14.53²] = 34.0021 - 211.1809 = - 177.1788

Therefore, the variance of z is - 177.1788.

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Answer:

Domain = All real numbers

Range = x < 6

Hope this helps!