help me answer this its about graphs

For the given Cuboid, the width will be equal to 4.5 cm.

What exactly is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where opposite faces are equal in size and shape. A cuboid is also known as a rectangular parallelepiped or rectangular prism.

In a cuboid, the three pairs of opposite faces are parallel to each other and perpendicular to the other pair of faces. The cuboid has eight vertices or corners, twelve edges, and six rectangular faces.

Now,

We can use the formula for the volume of a cuboid to find the missing dimension:

Volume = Length x Width x Height

In this case, we are given the length and height of the cuboid, but we do not know its width. Let's assume that the width of the cuboid is "w". Then, we can write the equation:

220.5 = 7 x w x 7

Simplifying this equation, we get:

220.5 = 49w

Dividing both sides by 49, we get:

w = 4.5

Therefore, the third dimension of the cuboid is:

Width = 4.5 cm

So, the cuboid has three dimensions of 7 x 4.5 x 7 cm.

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First, let me explain a few terms. Density refers to the amount of something in a given space, while function refers to a relationship between two or more variables. In this case, the probability density function is a function that describes the likelihood of a cutting blade having a certain length. Blades, of course, refer to the objects being measured.

Now, let's move on to the questions.

(a) P(X < 74.8) means the probability that a blade's length is less than 74.8 millimeters. To find this probability, we need to integrate the probability density function from 74.6 to 74.8:

P(X < 74.8) = ∫f(x)dx from 74.6 to 74.8
             = ∫1.25dx from 74.6 to 74.8
             = 1.25(74.8 - 74.6)
             = 0.25

Therefore, the probability of a blade's length being less than 74.8 millimeters is 0.25.

(b) P(X < 74.8 or X > 75.2) means the probability that a blade's length is either less than 74.8 millimeters or greater than 75.2 millimeters. To find this probability, we need to add up the probabilities of these two events:

P(X < 74.8 or X > 75.2) = P(X < 74.8) + P(X > 75.2)
                         = 0.25 + ∫f(x)dx from 75.2 to 75.4
                         = 0.25 + 1.25(75.4 - 75.2)
                         = 0.5

Therefore, the probability of a blade's length being either less than 74.8 millimeters or greater than 75.2 millimeters is 0.5.

(c) If the specifications of this process are from 74.7 to 75.3 millimeters, we need to find the proportion of blades that meet these specifications. This is equivalent to finding the probability that a blade's length is between 74.7 and 75.3 millimeters. To find this probability, we need to integrate the probability density function from 74.7 to 75.3:

Proportion of blades meeting specifications = ∫f(x)dx from 74.7 to 75.3
                                          = 1.25(75.3 - 74.7)
                                          = 0.75

Therefore, the proportion of blades that meet specifications is 0.75, or 75%.
(a) To find P(X < 74.8), we need to calculate the area under the probability density function (PDF) from 74.6 to 74.8 millimeters. Since f(x) = 1.25 is a constant, we can find the area by multiplying the length of the interval by the constant value of the function:

P(X < 74.8) = 1.25 * (74.8 - 74.6) = 1.25 * 0.2 = 0.25

(b) To find P(X < 74.8 or X > 75.2), we need to calculate the area under the PDF from 74.6 to 74.8 and from 75.2 to 75.4 millimeters. The total probability is the sum of the probabilities for each interval:

P(X < 74.8 or X > 75.2) = 1.25 * (74.8 - 74.6) + 1.25 * (75.4 - 75.2) = 1.25 * 0.2 + 1.25 * 0.2 = 0.25 + 0.25 = 0.5

(c) If the specifications are from 74.7 to 75.3 millimeters, we need to calculate the area under the PDF from 74.7 to 75.3 millimeters:

Proportion of blades meeting specifications = 1.25 * (75.3 - 74.7) = 1.25 * 0.6 = 0.75

So, 75% of the blades meet the specifications.

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Answer:

A box of 144 chocolate bars for 72 dollar.

Then each chocolate bar costs: 144/72 = 2 dollar

=> Price up to 50%: P = 2 x (1 + 50/100) = 2 x 3/2 = 3 dollar

Hope this helps!

:)

Answer:

8

Step-by-step explanation:

When you multiply 9 and 3 by 8 and then you subtract you get the same answer.

(a) To find the

constant

A, we need to integrate the given pdf from 0 to 1 and set it equal to 1, since the total

probability

of all possible outcomes must be 1:

∫[0,1] A(1/x) dx = 1

Using the fact that ln(1/x) is the antiderivative of 1/x, we get:

A[ln(x)]|[0,1] = 1

A[ln(1) - ln(0)] = 1

A(0 - (-∞)) = 1

A = 1

Therefore, the constant A is 1.

(b) The expected capacity of the storage tank is the expected value of the random variable, which is given by:

E(X) = ∫[0,1] x f(x) dx

Using the given pdf, we get:

E(X) = ∫[0,1] x (1/x) dx = ∫[0,1] dx = 1

Therefore, the expected capacity of the storage tank is 1 thousand gallons.

(c) Let C be the capacity of the tank in thousands of gallons. Then, the probability that the supply is exhausted in a given week is the probability that the weekly sales exceed C, which is given by:

P(X > C) = ∫[C,1] f(x) dx

Using the given pdf, we get:

P(X > C) = ∫[C,1] (1/x) dx = ln(1/C)

We want P(X > C) = 0.01, so we solve the equation ln(1/C) = 0.01 for C:

ln(1/C) = 0.01

1/C = e^0.01

C = 1/e^0.01

Rounding this to 3 decimal places, we get:

C ≈ 0.990

Therefore, the capacity of the tank must be at least 0.990 thousand gallons to ensure that the probability of the supply being exhausted in a given week is no more than

0.01

.

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Answer:

its c

Step-by-step explanation:

a) A and B are independent events.

b) The outcome of each game is independent of the other games so, Rachel's loss = p.

c) The probability of all marbles being red is 4

a) Given that a first marble is red and the second marble is also red, such that

P(1) = P(2) = 0.2, P(3) = P(5) = P(6) = 0.1 and P(4) = 0.3 and die is thrown two times. Also given that:

A1 = red

B1 = red.

So, P(A) = [P(1, 1) + P(2, 2) + P(3, 3) + P(4, 4) + P(5, 5) + P(6, 6)]

= P(1).P(1) + P(2).P(2) + P(3).P(3) + P(4).P(4) + P(5).P(5) + P(6).P(6)

= 0.2 x 0.2 + 0.2 x 0.2 + 0.1 x 0.1 + 0.3 x 0.3 + 0.1 x 0.1 + 0.1 x 0.1

= 0.04 + 0.04 + 0.01 + 0.09 + 0.01 + 0.01 = 0.20

Now, B = [(4, 6), (6, 4), (5, 5), (5, 6), (6, 5), (6, 6)]

P(B) = [P(4).P(6) + P(6).P(4) + P(5).P(5) + P(5).P(6) + P(6).P(5) + P(6).P(6)]

= 0.3 x 0.1 + 0.1 x 0.3 + 0.1 x 0.1 + 0.1 x 0.1 + 0.1 x 0.1 + 0.1 x 0.1

= 0.03 + 0.03 + 0.01 + 0.01 + 0.01 + 0.01 = 0.10

A and B both events will be independent if

P(A ⋂ B) = P(A).P(B) …. (i)

And, here (A ⋂ B) = {(5, 5), (6, 6)}

So, P(A ⋂ B) = P(5, 5) + P(6, 6) = P(5).P(5) + P(6).P(6)

= 0.1 x 0.1 + 0.1 x 0.1 = 0.02

From equation (i) we get,

0.02 = 0.20 x 0.10

0.02 = 0.02

Therefore, we can say that A and B are independent events.

b) We know that the outcome of each game is independent of the other games. Rachel's loss = p. As per the given information, the games in the series are unrelated, indicating the application of the probability multiplication principle.

c) The probability of all marbles being red is 4

Let a be the probability that the first player (ultimately) wins if the two players are tied in wins. Let b be the probability that she wins if she is 1 ahead. And let c be the probability she wins if she is 1 behind. We have the equations

a = rb + 1 - r x c

b = r + 1 - r x a

c = r x a

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The error made by Annie was that she failed to add the squared value of half the coefficient of x to the right hand side of the equation.

move constant term to the right side by subtracting 9 from both sides

x² - 6x = 16

Find half the coefficient of the x term and square it

(-6/2)² = 9

Add 9 to both sides of the equation

x² - 6x + 9 = 16 + 9

x² - 6x + 9 = 25

Factorize the left hand side

(x - 3)² = 25

x - 3 = ±5

x = 3 ± 5

Therefore, the error made was that she didn't add 9 to the right side of the equation.

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Thus, the 40% of the number is

The example of stratified sampling is a health educator wanted to study the sleeping habits of the undergraduate students in her study.

For her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors) for a total of 600 sampled students. a poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.

Sampling:

In statistics, quality assurance, and research methodologies, sampling is the selection of a subset of individuals (statistical sample) from a statistical population in order to estimate characteristics of the population as a whole. A statistician tries to collect a representative sample of the population in question. Sampling is less costly than measuring the entire population, provides faster data collection, and can provide insight when the entire population cannot be measured.

Stratified Sampling:

When the population embraces a number of distinct categories, the frame can be organized by these categories into separate "strata." Each stratum is then sampled as an independent sub-population, out of which individual elements can be randomly selected. The ratio of the size of this random selection (or sample) to the size of the population is called a sampling fraction. There are several potential benefits to stratified sampling.

There are, however, some potential drawbacks to using stratified sampling.

First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well as leading to increased complexity of population estimates.

Second, when examining multiple criteria, stratifying variables may be related to some, but not to others, further complicating the design, and potentially reducing the utility of the strata.

Finally, in some cases (such as designs with a large number of strata, or those with a specified minimum sample size per group), stratified sampling can potentially require a larger sample than would other methods (although in most cases, the required sample size would be no larger than would be required for simple random sampling).

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To find the marginal density of X/Y, we need to integrate the joint density function fXY(x, y) over the range of Y. By performing the integration, we obtain the marginal density of X/Y as a function of X. The resulting marginal density provides information about the distribution of the ratio X/Y.

The marginal density of X/Y can be obtained by integrating the joint density function fXY(x, y) over the range of Y. In this case, the joint density function is given by:

fXY(x, y) =

  24xy    if x >= 0, y >= 0, and x + y <= 1

  0       otherwise

To find the marginal density of X/Y, we integrate fXY(x, y) with respect to y, while keeping x as a constant. The integration limits for y can be determined based on the given conditions x >= 0, y >= 0, and x + y <= 1. Since y must be non-negative, the lower limit of integration is 0. The upper limit of integration can be determined by the constraint x + y <= 1, which implies y <= 1 - x.

Integrating fXY(x, y) over the range of y, we obtain the marginal density of X/Y as follows:

fX/Y(x) = ∫[0 to (1 - x)] 24xy dy

Evaluating the integral, we have:

fX/Y(x) = 24x * ∫[0 to (1 - x)] y dy

       = 24x * [(y^2)/2] evaluated from 0 to (1 - x)

       = 12x * (1 - x)^2

The resulting marginal density fX/Y(x) represents the distribution of the ratio X/Y. It provides information about the likelihood of different values of X/Y occurring. The shape of the distribution can be further analyzed to understand the characteristics of the random variable X/Y.

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In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

Answer: y = -2x+9

Step-by-step explanation:

Answer:

es la b) Oscar es más bajos que todos

Step-by-step explanation:

espero y te ayude

Answer:

Step-by-step explanation:

3x^5+6x^3

=3x^3(x^2+2)

Answer:

\(3x^{2} (x^{2} +2)\)

Step-by-step explanation:

Factor \(3x^{3}\) out of \(3x^{5}\) \(+\) \(6x^{3}\)

we have the function

f(t)=9500(0.1)^t

this is an exponential function of the form

y=a(b)^x

where

a is the initial value

b is the base of the function

In this problem

b=0.1

the value of b is less than 1

that means

b=1-r

r=1-0.1

r=0.90

the rate of change is 90%

The value of the equation A = ( 6 3/4 ) / ( 4 1/2 ) is 3/2 or 1 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be A = 6 3/4

A = 27/4

Let the second number be B = 4 1/2

B = 9/2

Now , the equation is C = A/B

The value of C = A / B

Substituting the values of A and B in the equation , we get

Value of C = ( 6 3/4 ) /  ( 4 1/2 )

Value of C = ( 27/4 ) / ( 9/2 )

Value of C = ( 27 / 9 ) / 2

Value of C = 3 / 2

Therefore , the value of C is 3/2 or 1 1/2

Hence , The value of the equation A = ( 6 3/4 ) / ( 4 1/2 ) is 3/2 or 1 1/2

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Answer:

400 milliliters or 0.4 liters

Step-by-step explanation:

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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Therefore , the solution of the given problem of triangle comes out to be

Orthocentre (0, - 5 ).

Triangles are polygons with three sides and three vertices. The triangle's angles are created by joining its three sides end to end at a single point. The triangle has three angles, and the sum of them is 180 degrees.

Here,

We need the lengths of the triangle's three sides in order to identify which of the aforementioned cases the triangle fits into.

Make the length calculations using the distance formula.

d = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\)

L(0, 5) and M(3, 1)

LM =d = \(\sqrt{(3-0)^{2}+(1-5)^{2}}\)  = 5

L(0, 5) and (N(8, 1)

LN = d = \(\sqrt{(8-0)^{2}+(1-5)^{2}}\)   = √80

M(3, 1) and (N(8, 1)

MN = \(\sqrt{(8-3)^{2}+(1-1)^{2}}\)  = 5

If a triangle has three sides, a, b, and c, and side c is the longest, then

• Right triangle formed by a2 + b2 = c2

• a2 + b2 c2 - acute triangle

Triangle with angles a2, b2, and c.

A, B, and C are equal to five in this instance.

a² + b² = 5² + 5² = 25 + 25 = 50

c² = (4 )² = 80

A triangle is obtuse and the orthocentre lies outside the triangle because a2 + b2 c2.

The place where the triangle's three altitudes converge is known as the orthocentre.

For the orthocentre's coordinates, we only need to simultaneously solve

the equations for two of the altitudes.

A line drawn at a right angle from a vertex to the other side is known as an altitude.

Altitude from M to LN

Calculate the slope of LN using the slope formula

m =  (y2 - y1 )/ (x2- x1 ) = 1-5/8-0   ⇒  = 2

Equation of altitude

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1)

Altitude between M and LN

Utilize the slope formula to determine LN's slope.

m = (y2 - y1)/ (x2- x1) = 1-5/8-0 ⇒ = 2

formula for altitude

y - 1 = 2(x - 3) (x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1) (1)

Altitude between N and LM

m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4

formula for altitude

y - 1 = (x - 8) (x - 8)

y - 1 = x - 6

y = x - 5 → (2) (2)

Adding (1) to (2)

2x - 5 Equals x - 5 ( multiply through by 4 ) ( multiply through by 4 )

8x - 20 = 3x - 20

5x - 20 = - 20 ( add 20 on both sides ) ( add 20 to both sides )

5x = 0 ⇒ x = 0

Place x = 0 in place of (1)

y = 0 - 5 = - 5

It is the orthocentre (0, - 5 )

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Because triangle SRT and VUW are similar, all sides of triangle SRF are scaled up by an amount.

We calculate the scale factor : 9/5.4 = 5/3

-> The corresponding side of SR (UV)  is scaled down 5/3 times from the length of SR
-> UV = 6 : 5/3 = 3.6 (inches).

the integral is:∬s(x y z)ds = (4/3 - 24/5 + 2/7 - 2/9) = -6/45

∬s(x y z)ds = ∬r(u,v)(2u v)(u − 2v)(u 3v)dudv

= ∫0^1∫0^2 (4uv^2 - 8uv^3 + u^2v^4 -2u^2v^5)dudv

= (4/3 - 24/5 + 2/7 - 2/9) = -6/45

We can evaluate the integral by first rewriting it in terms of parametric equations.

The surface s is defined parametrically by r(u,v) = (2u v)i (u − 2v)j (u 3v)k for 0 ≤ u ≤ 1, and 0 ≤ v ≤ 2.

Therefore, the integral can be written as ∬s(x y z)ds = ∬r(u,v)(2u v)(u − 2v)(u 3v)dudv.

Next, we can evaluate the integral by using double integrals.

We can evaluate the integral by first evaluating the inner integral with respect to v, and then evaluating the outer integral with respect to u.

The inner integral with respect to v is:

∫0^2 (4uv^2 - 8uv^3 + u^2v^4 -2u^2v^5)dv

= (4/3 - 24/5 + 2/7 - 2/9)

The outer integral with respect to u is:

∫0^1 (4/3 - 24/5 + 2/7 - 2/9)du = (4/3 - 24/5 + 2/7 - 2/9)

Therefore, the integral is:

∬s(x y z)ds = (4/3 - 24/5 + 2/7 - 2/9) = -6/45

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Answer:

Since f(-5) is not equal to 0, we can conclude that (x + 5) is not a factor of f(x) = f(x) = x³ - 4x² + 3x + 7

Step-by-step explanation:

Step 1: solve the equation by equaling it by 0

x+5 =0 then x=-5

Step 2: plug in (-5) into the equation

f(-5) = (-5)³ - 4(-5)² + 3(-5) + 7

= - 233

since we got -233 and not 0

Therefore, x+5 is not a factor of the function of f(x)

Answer:

16

Step-by-step explanation:

Angles on a straight line add to 180°.

\(5x+1+6x+3=180 \\ \\ 11x+4=180 \\ \\ 11x=176 \\ \\ x=16\)

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

.im fully loaded

Step-by-step explanation:

Answer:

14 X+2y=6

0+2y=6

2y=6

2y÷2=6÷2

y=3

x+2y=6

x+2(0)=6

x+0=6

X=6

(13) The x and y intercept of the line x + y = 1 are 1 and 1 respectively.

(14) The x and y intercept of the line x + 2y = 6 are 6 and 3 respectively.

When any equation is represented in the y = mx +c form, it is called the slope intercept from of the equation.

Here m is slope and c is constant.

(13)

The given equation of line,

x + y = 1

x intercept of the line is at y = 0,

x + 0 = 1

x = 1

y intercept of the line is at x = 0,

0 + y = 1

y = 1

The x and y intercept of the line x + y = 1 are 1 and 1 respectively.

(14)

The given equation of line,

x + 2y = 6

x intercept of the line is at y = 0,

x + 0 = 6

x = 6

y intercept of the line is at x = 0,

0 + 2y = 6

y = 3

The x and y intercept of the line x + 2y = 6 are 6 and 3 respectively.

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Answer:

p(9,7)⇒(-7,4)

Step-by-step explanation:

p(4,7)

(x,y) ⇒(-y,x)

p(4,7)⇒p¹(-7,4)

Answer:(-7,4)

hope it helps....

Using the triangle inequality theorem, the possible values for x is: x < 11.

The triangle inequality theorem states that two sides of a triangle, when added together must be greater than the length of the third side of the triangle.

Applying the triangle inequality theorem, we have the following inequality statement:

15 + 3 > 2x - 4

18 > 2x - 4

Add both sides by 4

18 + 4 > 2x - 4 + 4

22 > 2x

Divide both sides by 2

22/2 > 2x/2

11 > x

or  x < 11.

The possible values for x is x < 11.

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