#46. Find the slope?

Applying the formula of the surface area of a box, the total amount of plastic wrapping needed to cover the box is: 697 cm².

The total surface area of a box is the sum of all the areas of the six faces of the box.

The area of each face can be found by multiplying the length by the width of that face.

The area of each face is given as:

Area = length * width.

To find the amount of plastic wrapping needed to cover the entire box, you first need to find the surface area of the box.

The surface area of the box is given by:

Surface area = 2(19 cm * 14 cm) + 2(19 cm * 1.5 cm) + 2(14 cm * 1.5 cm)

= 2(266 cm²) + 2(28.5 cm²) + 2(21 cm²)

= 532 cm² + 57 cm² + 42 cm²

= 631 cm²

To find the total amount of plastic wrapping needed to cover the box, you need to add the extra 66 cm² needed to allow for the overlapping at the edges.

This gives a total of 631 cm² + 66 cm² = 697 cm² of plastic wrapping needed to cover the box.

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The correct statements regarding Marc's account balance are given as follows:

Mark's account balance is the amount of money that he has on his account.

Hence the balance is obtained as follows:

The statements are given by the image shown at the end of the answer.

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Answer: 8.6 miles

Step-by-step explanation:

Takes 21 divided by 3 = 1 mile in 7 minute

Then take 60 divided by 7 = 8.57

ground to nearest tenth = 8.6 miles

Answer:

d

Step-by-step explanation:

The solutions of the equation x² +3x - 4=0 are x=1 and x= -4 .

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given equation:

x² +3x - 4=0

Standard form of a quadratic equation:

ax² +bx+c=0

On comparing, a=1, b= 3, c= -4

Quadratic formula:

x = [ -b ± √(b² - 4ac ) ] /(2a)

Substitute the values

x = [ -3 ± √(3² - 4*1*(-4) ) ] /(2*1)

x= [ -3 ± √(9 + 16 ) ] /(2)

On simplifying,

x=1 and x= -4

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Answer:

45

Step-by-step explanation:

8 numbers summed and divided by 8 = 41

8numberssummed  / 8 = 41

8numberssummed = 41 * 8 = 328

now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers

  6numberssummed = 8numberssummed - 29 -29

                                   =   328    -29 -29 = 270

  so to find the mean of the remaining six numbers:

     6numberssummed / 6    is        270/6 = 45

Answer:

mean = 45

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

given the mean of 8 numbers is 41 , then

[tex]\frac{sum_{8} }{8}[/tex] = 41 ( multiply both sides by 8 )

sum₈ = 328

given the mean of 2 of the numbers is 29 , then

[tex]\frac{sum_{2} }{2}[/tex] = 29 ( multiply both sides by 2 )

sum₂ = 58

Then

sum₆ = sum₈ - sum₂ = 328 - 58 = 270

then the mean of the other six numbers is

mean = [tex]\frac{sum_{6} }{6}[/tex] = [tex]\frac{270}{6}[/tex] = 45

Congestion management allows for more efficient use of a shared network infrastructure by managing the flow of data packets into the network.

Additive increase and additive decrease (AIAD) This is the policy which follows the below rule

a(i)>0, b(i) =1, a(d)<0 b(d)=1

This policy doesn't converge to fairness which means that it is not stable.

Moreover, this doesn't converges to efficiency and if it is need to be stable then it must satisfy the condition a(d) = a(i)

Multiplicative increase and additive decrease (MIAD) This is the policy which follows the rule of a(i) =0, b(i) >1, a(d)<0, b(d)=1

This policy doesn't converge to fairness which means that it is not stable.

Moreover, this doesn't converges to efficiency and if it is need to be stable then it must satisfy the condition b(i)a(d)/ 1- b(i)

Multiplicative increase multiplicative decrease (MIMD) This is the policy which follows the below rule a(i) =0 , b(i) >1 , a(d)=0, 0<b(d)<1

This policy doesn't converge to fairness which means that it is not stable.

Moreover, this doesn't converges to efficiency and if it is need to be stable then it must satisfy the condition b(i)≥ 1 and 0≤ b(d)<1.

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The value of the given function f (x) is 10

[tex]f (x) = \left \{ {{2 \text{ for x} < 3} \atop {x- 1 \text { for x } \geq 3} \right. \\\\[/tex]

Integrating the given functions,

[tex]\int\limits^5_1 {f(x)dx = \int\limits^3_1 2dx + \int\limits^5_3 (x- 1)dx[/tex]

[tex]\int\limits^5_1 {f(x)dx =2x + [\frac{x^{2}} {2} - x][/tex]

Applying the limits,

[tex]\int\limits^5_1 {f(x)dx =[2(3)-2(1)]+ [\frac{5^{2}} {2} - 5-\frac{3^{2}} {2} + 3][/tex]

[tex]\int\limits^5_1 {f(x)dx =[6- 2]+ [\frac{25} {2} - 5-\frac{9} {2} + 3][/tex]

[tex]\int\limits^5_1 {f(x)dx = 4 + 6[/tex]

[tex]\int\limits^5_1 {f(x)dx = 10[/tex]

The value of the given function on integrating using the limits is 10

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Answer:

12.5%

Step-by-step explanation:

First,

take 5 page and divide by total amount in book 40 pages.

5/40 = 0.125.

Second,

To get percent multiply by 100.

0.125*100 = 12.5%

Answer:

the right answer is

1,2/9

Answer:

x = 54

Step-by-step explanation:

The 2 angles shown are vertical angles, so they are equal.

2x + 2 = 3x - 52

2x - 3x = -52 - 2

-x = -54

x = 54

They are 110° angles

Answer: x = -10

Step-by-step explanation:

1: Add: 2x+2  3x-52 = 5x -50

2: Divide both sides by the same factor: 5x - 50

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

                                                                      5      5

3: Level: x= -10

Answer:

6

Step-by-step explanation:

it is a8=a1 +(n-1)x d

41=-1+ 7xd

42/7=d

d=6

Answer: 6

Step-by-step explanation:

[tex]a_1=-1\ \ \ \ \ \ \ \ a_8=41\ \ \ \ \ \ \ \ d=?\\\\\boxed{a_n=a_1+d(n-1)}\\\\Hence,\\\\a_8=-1+d(8-1)\\\\41=-1+7d\\\\41+1=-1+7d+1\\\\42=7d\\\\[/tex]

Divide both parts of the equation by 7:

6=d

Thus, d=6

Answer:

85.7142857%

Step-by-step explanation:

To find the percentage, take the first quantity and divide by the second quantity

480/560 =.857142857

Then multiply by 100 %

857142857 * 100% = 85.7142857%

Answer:

Step-by-step explanation:

x^2 - 3x + 2x - 6

x^2 - x - 6

The value of x in the trapezium is 60 degrees.

A trapezium is a quadrilateral . The sum of angles in the trapezium is 360 degrees. The legs of the trapezium ABCD are congruent.

The length AB and CD are parallel to each other.

Let's find the angle x as follows:

Therefore, using trigonometric ratios,

cos x = adjacent / hypotenuse

Where

adjacent side = 3 m

hypotenuse side = 6 m

Hence,

cos x = 3 / 6

cos x = 1 / 2

x = cos ⁻¹ 0.5

x = 60 degrees

Therefore,

x = 60 degrees.

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The solution set express the numbers between -5 and 5.

It is a mathematical model contains various elements such as numbers, variables, sign and so on arranged in a sequence order. Different set represents different expression.

The elements of a set that satisfy certain given conditions.

in the question, the set represent the numbers which are > -5 and < 5.

hence, the set indicate the numbers between -5 and 5

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Answer:

no solution

Step-by-step explanation:

Answer:

it travels 25 nautical miles per hour

Step-by-step explanation:

150 nautical miles in 6 hours

150 / 6 = 25

25 nautical miles per hour

Answer: I think it is 25 nautical miles in one hour

Step-by-step explanation:

all you need to do is 150 divided by 6 to get one hour and that is 25 (this might be wrong)

Answer:

$8 per pound

Step-by-step explanation:

16/2 = 8

Answer: $8

Step-by-step explanation:

16 divided by 2 = $8 per pound

So, for f(x)=xa(9-x)b on the interval 0≤x≤9, the maximum value of f(x) is 0, and a and b are positive numbers.

A function is an expression, rule, or law in mathematics that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences. Functions are broadly classified into four categories. Element-based: one-to-one function, many-to-one function, onto function, one-to-one and onto function, into function

Here,

f(x)=xa(9-x)b

If we put x=0,

f(x)=0

If we put x=9,

f(x)=0

So, the maximum value of f(x) is 0 for f(x)=xa(9-x)b on the interval 0 ≤ x ≤ 9 and a and b are positive numbers.

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1. The weight for 18 tablespoons is 1127.32 grams.

2. The number of tablespoons of the liquid noah needs to add so that the total weight is 1,200 grams is 23 tablespoon.

It's vital to note that an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, Noah placed an empty bowl on a scale and the equation is given as:.

y = 14.75x + 861.82

x = the amount of the liquid, in tablespoons

y = the total weight

The weight for 18 tablespoons will be:

y = 14.75x + 861.82

y = 14.75(18) + 861.82

y = 1127.32

The liquid that Noah needs to add so that the total weight is 1,200 gram will be:

y = 14.75x + 861.82

14.75x + 861.82 = 1200

Collect like terms

14.75x = 1200 - 861.82

14.75x = 338.18

Divide

x = 138.18 / 14.75

x = 23

The tablespoons is 23.

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a) A random family is chosen and then a random child within that family is chosen the mean is 1.45 and the variance is 0.38.

b) A random child is chosen in the town, the mean is 1.579 and the variance is 0.454.

For part A:

A random family is chosen and then a random child within that family.

P(X=1)= P(X=1 | family with one child). P(family with one child)

             + P(X=1 | family with two children).P(family with two children)

             +P(X=1 | family with three children).P(family with three children)

           = 1.30/100 + 1/2 . 50/100 + 1/3 . 20/100 = 37/60

P(X=2)=P(X=2 | family with one child). P(family with one child)

             + P(X=2 | family with two children).P(family with two children)

             +P(X=2 | family with three children).P(family with three children)

           = 0.30/100 + 1/2 . 50/100 + 1/3 . 20/100 = 19/60

P(X=3)=P(X=3 | family with one child). P(family with one child)

             + P(X=3 | family with two children).P(family with two children)

             +P(X=3 | family with three children).P(family with three children)

           = 0.30/100 + 0 . 50/100 + 1/3 . 20/100 = 4/40

hence, using these probabilities we can find,

E(X) = 1(37/60) + 2(19/60) + 3(4/60) = 1.45,

therefore, Var(x) = 149/60 − [tex]1.45^{2}[/tex] = 457/1200 ≈ 0.38

hence, the mean of the child's birth is 1.45 and the variance of the child's birth ranks 0.38.

For part B,

When a random child is chosen in the town with equal probabilities.

There are 1 x 30 + 2 x 50 + 3 x 20 = 190 children in the town where 100 of them are first born, 70 of them are second born, and 20 of them are third born. Let X be a random variable that marks the birth rank of a child.

Hence,

E(X) = 1(100/190) + 2(70/190) + 3(20/190) ≈ 1.579

and

Var(X) = 2.947 − [tex]1.579^{2}[/tex] ≈ 0.454

For a random child chosen, the mean of the child's birth is 1.579 and the variance of the child's birth ranks 0.454.

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The point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.

In statistics, for point estimation, an unknown population parameter (e.g. population mean). More formally, it is applying a point estimator to data to obtain a point estimate.

Point estimation can be contrasted with interval estimation. Such interval estimates are usually confidence intervals for frequentist inference and confidence intervals for Bayesian inference. More generally, point estimators can be contrasted with set estimators. An example is the confidence rate or confidence rate. Point estimators can also be contrasted with distribution estimators. Examples include confidence distributions, randomized estimators, and Bayesian posterior distributions.

Based on the question,

The confidence  interval of Lower bound is 0.226.

The confidence interval of Upper bound is 0.604.

X - E = 0.226.                     --------------------------- (1)

X + E = 0.604                     ---------------------------(2)

Adding equation (1) and (2),

    2X = 0.83

⇒  X = 0.83/2

⇒ X = 0.415

Putting X = 0.415 in equation (1),

0.415 + E = 0.604

⇒ E = 0.604 - 0.415

⇒ E = 0.189

Thus, the point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.

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The numbers that are greater than -9 are 2.895, -8.92, 0.504, -2.9

What is a positive number?

A number can be zero, negative, or positive. Zero has no positive or bad aspects. The most frequent positive numbers in daily life include 34, 9.22, and other examples such as these. They are typically depicted on a number line to the right of zero, growing larger as you move to the right.

Given number is -9 which is a negative number.

All positive numbers are always greater a negative number

In the given number, the positive numbers are 2.895, 0.504.

Thus 2.895 and 0.504 are greater than -9.

The negative numbers whose absolute less than 9, they are also greater than -9.

The absolute value of -10.56, -8.92, -15.782, -2.9, -18.376 are

|-10.56| = 10.56 >9

|-8.92| = 8.92 <9

|-15.782| = 15.782 > 9

|-2.9| = 2.9 < 9

|-18.376| = 18.376 >9

Therefore -8.92 and -2.9 are also greater than -9.

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The least square solution using svd matrix that has minimal norm is calculated using factorization .

What is Least Square Method ?

The least squares method is used in finding best fit for a set of data points by minimizing sum of offsets from plotted curve.

The SVD (Singular value decomposition) is a factorization of a real/complex matrix.

This technique is widely used to decompose a matrix into several component matrices, which exposes many of useful and interesting properties of original matrix.

The system of equation is Ax=b, we calculate the SVD of A by A=UΣVT. The matrices U , VT have a special property that they are unitary matrices.

The main benefits of having unitary matrices like U and VT is , if we multiply one of these by its transpose, the result equals the identity matrix.

Therefore , factorization is  used to find the least square solution .

The given question is incomplete , I answer the question in general according to my knowledge

Calculate least squares solution using svd a matrix has the singular value decomposition what is the solution to the least-squares problem that has minimal norm ?

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Answer: 96

Step-by-step explanation:

The easy way to do this is to start backward. The last step she did before she got 10.5 as her answer was dividing her answer by 2.

So we can just multiply 10.5 by 2 to reverse the last step.

After doing that we get 21. The step Lara did before dividing by 2 was subtracting 11.

So we can just add 11 to 21 to reverse this step.

After doing that we get 32. The step Lara did before subtracting 11 was dividing by 3.

So we can just multiply 32 by 3 to reverse this step.

After doing that we get 96. So the number that Lara started with is 96.

Answer:

3r < = 4r - 6

3r - 4r < = -6

-r < = -6

r > = 6........it is 6 and 7

Step-by-step explanation:

Answer:

your answer would be 6, and 7.

Step-by-step explanation:

Answer:

To add fractions, find the LCD and then combine.

3/4 + (1/4−16)= −15

Step-by-step explanation:

The probability of getting someone in the 22-29 age group to respond or someone who agreed to respond is 259/371

Let X be the event of contacting the 18-21 age group

Let Y be the event of contacting 22-29 age group

Let A be th event that the pollster responded

Let B be the event that they did not respond

Here,

Probability  no. of favorable outcomes/total no. of outcomes/

Hence,

n(A) = 65 + 259

= 324

P(A) = 324/371

Similarly, P(Y) = 294/371

Now,

P(A∩Y) = 259/371

We know that P(C ∪ D) = P(C) + P(D) - P(C∩D)

Therefore, P(A∪Y) = P(A) + P(Y) - P(A ∩ Y)

= 324/371 + 294/371 - 259/371

= 359/371

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