HELP PLS ASAP PLS PLS DUE SOON

To find the shaded area you subtract the area of the triangle from the area of the rectangle:

Then, Tony's mistake was that he added the areas instead of subtract it.

The shaded are is:

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.

After answering the provided question, we can conclude that As a result, expression the area-to-scale factor ratio is: 1.5625/0.8 = 1.953125.

An expression in mathematics is a collection of perceptions, digits, and huge corporations that resemble a significant correlation or regimen. A real number, a subject to change, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid rise, disunity, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Part A:

\(15:x = 4:5\\155 = 4x\\75 = 4*x\\x = 75/4\\x = 18.75\\\)

Therefore, the length of the base of the new deck is 18.75 feet.

\(6/15 = h/18.75\\618.75 = 15h\\112.5 = 15*h\\\)

As a result, the new deck is 7.5 feet tall.

Part B: The original deck's area is (1/2)baseheight = (1/2)156 = 45 square feet.

The new deck has the following dimensions: (1/2)baseheight = (1/2)

18.757.5 x 70.3125 = 70.3125 square feet

Part C: 70.3125/45 = 1.5625

4/5 = 0.8

As a result, the area-to-scale factor ratio is: 1.5625/0.8 = 1.953125.

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The correct question is -

Sam has a deck that is shaped like a triangle with a base of 15 feet and a height of 6 feet. He plans to build a 4:5 scaled version of the deck next to his horse's water trough.

Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)

Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)

Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)

By applying the simplification method, it can be concluded that the expression that represents the quotient and remainder is x + 1 + (9 / (3x - 3))

Simplification is a mathematical method of operating and interpreting functions to make functions or expressions simpler or easier to understand. It rewrites a mathematical expression in a simpler or easier-to-understand form.

There are some basic steps to simplify an expression:

Now we take a look at the problem, we have:

= (3x² + 6) / (3x - 3)

= (3x² - 3x + 3x + 6) / (3x - 3)

= ((3x² - 3x + 3x - 3) + 9) / (3x - 3)

= ((3x - 3)(x + 1) + 9)  / (3x - 3)

= ((3x - 3)(x + 1) / (3x - 3)) + (9 / (3x - 3))

= x + 1 + (9 / (3x - 3))

Thus, the expression that represents the quotient and remainder is x + 1 + (9 / (3x - 3))

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Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

Answer:

$40

Step-by-step explanation:

36 dollars. bc if its 30 percent then its less than half:)

Answer:

y=⅓x-3

Step-by-step explanation:

y--2=⅓(x-3)

y+2=⅓x-1

y=⅓x-1-2

y=⅓x-3

1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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Answer:

(- 42.8π/√232)m²

Step-by-step explanation:

For any function, y = f(x), we approximately from a to a + ∆x

We can make use of the formula

∆y = f'(a)∆x

Where S = πr√(r² + h²)

We are asked to find S

h = 6m

r = decreases from 14m to 13.9

S = d/dr[ πr√(r² + h²)] ×(13.9 - 14)

Where h = 36m

S = π d/dr [ r √(r² + 6²)] × (13.9 - 14)

S = π d/dr [ r √(r² + 36)] × (13.9 - 14)

Where r = 14m

S = π [√(r² + 36) + r²/√(r² + 36)] × (13.9 - 14)

S = π [√(14²+ 36) + 14²/√(14² + 36)] × (13.9 - 14)

S = π [√(196+ 36) + 196/√(196 + 36)] × (13.9 - 14)

S = π[√232 + 196/√232] × (13.9 - 14)

S = π × - 0. 1 [√232 + 196/√232]

Collecting like terms

S = π × - 0. 1 × 1/√232 [232 + 196]

S = π × - 0. 1 × 1/√232[428]

S =(- 42.8π/√232)m²

consider the numbers are x,2x,3x,4x,5x

Given;

(x+2x+3x+4x+5x)/5 = 11

15x = 55

x= 55/15 = 11/3

The numbers are

11/3, 22/3, 11, 44/3, 55/3

Answer:

x = 5 , y = 6

Step-by-step explanation:

Given:

Solve:

Multiply the second equation by -1

-1 ( - 6x + 3y = -12)

⇒ 6x - 3y = 12

Then add/subtract: {-6x + 6x = 0 (aka nothing) { 6y - 3y = 3y} {6 + 12 = 18}

-6x + 6y = 6

6x - 3y = 12

⇒ 3y = 18

Divide both sides by 3:

3y/3 = 18/3

y = 6

Since now we know what y is, We can plug it into the original equation. You can either use the first one or the second one. I'll be using the first one.

-6x + 6y = 6

-6x + 6(6) = 6            ⇒ plug 6 in the equation since y = 6

-6x + 36 =6

-6x + 36 - 36 = 6 - 36  ⇒ Subtract both sides by 36

⇒ -6x = - 30

Divide both sides by -6:

-6x/-6 = -30/-6

x = 5

As a result, the answer is;

x = 5, y = 6

RevyBreeze

\(\begin{array}{cccl} -6x+6y&=&6\\\\ -6x+3y&=&-12 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{cccl} \text{\LARGE -1}(-6x+6y&=&6)\\\\ -6x+3y&=&-12 \end{array}\hspace{5em} \begin{array}{cccl} ~~ 6x-6y&=&-6\\\\ -6x+3y&=&-12\\\cline{1-3} ~~ 0 ~~ -3y&=&-18 \end{array} \\\\[-0.35em] ~\dotfill\)

\(-3y=-18\implies y=\cfrac{-18}{-3}\implies \boxed{y=6} \\\\\\ \stackrel{\textit{now substituting on the 2nd equation}}{-6x+3(6)=-12\implies }-6x+18=-12 \\\\\\ -6x=-30\implies x=\cfrac{-30}{-6}\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (5~~,~~6)~\hfill\)

Answer:

14 5/24

Step-by-step explanation:

Ariana's rode the bus 5 3/8 miles to the mall

She rode 2 3/4 miles to her friends place

Then she rode anrhe 6 1/12 miles back home

Therefore the total distance can be calculated as follows

= 43/8 +11/4 + 73/12

= 5456/384

= 341/24

= 14 5/24

Hence the total distance is 14 5/24 miles

The equation of the circle centered at (−5, 8) and having a radius of 7 is (x + 5)² + (y - 8)² = 49.

The standard form of the equation of a circle is expressed as;

x² + y² = r²

The horizontal (h) and vertical (k) translations represents the center of the circle.

Hence;

(x - h)² + (y - k)² = r²

Given the data in the question;

Center of the circle: (−5, 8)

Now, plug the values of h, k and r into the equation above and simplify,

(x - h)² + (y - k)² = r²

( x - (-5) )² + ( y - 8 )² = 7²

(x + 5)² + (y - 8)² = 49

Therefore, the equation of the circle is (x + 5)² + (y - 8)² = 49.

Hence, option A is the correct answer.

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The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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Answer:

1, 2, 4 are functions

3 are not

The constant of proportionality, or unit rate, is a crucial concept in understanding proportional relationships and making calculations based on them.

The constant of proportionality, also known as the unit rate, in a proportional relationship is the value that relates two quantities in a way that they always have the same ratio. In a verbal description of a proportional relationship, the constant of proportionality is the number that tells you how much one quantity changes when the other quantity changes by one unit.

For example, if a recipe for chocolate chip cookies calls for 2 cups of flour and makes 24 cookies, and you want to make 36 cookies, you can use the constant of proportionality to determine how much flour you need. The relationship between the amount of flour and the number of cookies is proportional, and the constant of proportionality is the unit rate of flour per cookie. In this case, the constant of proportionality is:

2 cups of flour ÷ 24 cookies = 1/12 cups of flour per cookie

To make 36 cookies, you would need:

36 cookies x 1/12 cups of flour per cookie = 3 cups of flour

So, the constant of proportionality, or unit rate, is a crucial concept in understanding proportional relationships and making calculations based on them.

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Answer:

Option 2 and 4

Step-by-step explanation:

Area of the big rectangle to fit small ones:

Area of small rectangles:

Now, the answer options:

Answer:

496

Step-by-step explanation:

Multiply the 124 by 4 since there are 4 sets of 4 weeks in 16 weeks.

Answer:

d 80

Step-by-step explanation:

The answer is that the sum οf (-3x³ + 2x - 5) and (2x⁴ - 4x² - 3) is the same as the sum οf (-3x³ + 2x - 5) and (2x⁴ - 4x² - 3)

An expressiοn in mathematics is made up οf different numbers, variables, and mathematical prοcesses, such as expοnents, lοgarithms, trigοnοmetric functiοns, and arithmetic. It can symbοlise a number οr a fοrmula, but it lacks an equals sign (=) and cannοt be evaluated οr sοlved withοut being cοmbined οr simplified. Expressiοns can be straightfοrward, like 3x + 4, οr they can be cοmplicated, like (2x - 1)/(x + 3).

given:

(a) We must multiply each term in the first expressiοn by each term in the secοnd expressiοn befοre cοmbining like terms tο determine the prοduct οf (-3x³ + 2x - 5) and (2x4 - 4x² - 3). The distributive principle allοws us tο write:

= (-3x³ + 2x - 5) * (2x⁴ - 4x² - 3) * (3x³ + 2x - 5) * = 3x³ * 2x⁴ + (-3x³) * (-4x²)  * (-3)

= 2x * 2x⁴  + 2x * (-4x²) + 2x * (-3)

= -6x⁷ + 12x⁵ + 9x³ + 4x⁵ - 8x³ - 6x - 10x⁴  + 20x² + 15 = 5 * 2x⁴  - 5 * (-4x²) - 5 * (-3)

The result οf the οperatiοns (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3) is as fοllοws: -6x⁷ + 10x⁴  + 16x⁵ - 17x³ - 6x + 15

(b) The answer is that the sum οf (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3) is the same as the sum οf (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3). Due tο the fact that multiplicatiοn is cοmmutative, changing the οrder οf the variables has nο effect οn the οutcοme οf the prοduct. Cοnsequently, we can write:

(2x⁴  - 4x² - 3) * (-3x³ + 2x - 5) = (-3x³ + 2x - 5) * (2x⁴  - 4x² - 3)

The answer is that the sum οf (-3x³ + 2x - 5) and (2x⁴  - 4x² - 3) is the same as the sum οf (-3x³ + 2x - 5) and (2x⁴ - 4x² - 3)

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Answer- 33

We are told that A=6, there for we can right out our equation fully.

(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first.  5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.

5a +3= 33 or (5x6) +3 = 33

Hope this helps! and GOOD LUCK.

Answer:

6p x 9

Step-by-step explanation:

Answer:

1. they are asking how much each person spent at the movie theater so the equation is 81 divided by 6 = what

2. 81 divided by 6 = 13.5

hope this helps

Answer: 9m^4- 30m^3 +37m^2 - 20m + 4  

Step-by-step explanation:

(3m^2 -5m +2)^2  is the same as (3m^2 -5m +2)(3m^2 -5m +2)  

Now apply the distributive property 3 times to solve.

3m^2(3m^2 -5m + 2) =   9m^4 - 15m^2 + 6m^2

-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m

2(3m^2 -5m +2)  =  6m^2 - 10m + 4

Now add the solutions

(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =

9m^4- 30m^3 +37m^2 - 20m + 4

Answer:

Hope this helps any! I hope this is right!

Step-by-step explanation:

8:24

4:12

16:48

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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The map scale is printed in the map legend. It is given as a ratio of inches on the map corresponding to inches, feet, or miles on the ground. For example, a map scale indicating a ratio of 1:24,000 (in/in), means that for every 1 inch on the map, 24,000 inches have been covered on the ground.