how to solve? …………….

The value of N when t=4 is: N = 300 + 450 = 750.

To evaluate the solution at the specified value of the independent variable, we need to find the relationship between N and t. Given the information, we have two points: (0, 150) and (1, 300).

Step 1: Calculate the slope (m) between the two points.
m = (N2 - N1) / (t2 - t1) = (300 - 150) / (1 - 0) = 150

Step 2: Use one of the points (e.g., (0, 150)) and the slope to find the equation N = mt + b.
150 = 150 * 0 + b
b = 150

Step 3: Write the equation with the slope and intercept.
N = 150t + 150

Step 4: Evaluate the value of N when the specified value of the independent variable t = 4.
N = 150 * 4 + 150
N = 600 + 150
N = 750

The value of N when t = 4 is 750.

to learn more about independent variable click here:

brainly.com/question/1479694

#SPJ11

Answer:

Answer is C, has infinitely many solutions

Step-by-step explanation:

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

To learn more about function, refer to the link:

https://brainly.com/question/22340031

#SPJ1

The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.

What is cosine law?

In trigonometry, the law of cosines (also known as the cosine formula, cosine rule, or al-Kashi's theorem) relates the lengths of the sides of a triangle to the cosine of one of its angles. When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

\(c^{2} =a^{2} + b^{2} - 2abcosC\\b^{2} =a^{2} + c^{2} - 2accosB\\a^{2} =b^{2} + c^{2} - 2bccosA\)

Here, a, b and c are the sides of the triangle and A, B and C are the angles of the triangle.

To know more about cosine law, click on:

https://brainly.com/question/19017345

#SPJ4

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

|CD| is parallel to |AB|

Also;

ANSWERS:

(a) The measured angle ACD is 65degrees

(b) The measured angle DCB is 35degrees

(c) The measured angle ACB is 30 degrees

Answer:

D. 50

Step-by-step explanation:

To find the value of f(4) using the given information, we can use the recursive property of the function f(x) = 2.5f(x-1). Let's calculate it step by step:

Given:

f(1) = 3.2

f(x + 1) = 2.5f(x)

Using the recursive property, we can find f(2), f(3), and finally f(4).

f(2) = 2.5f(1) = 2.5 * 3.2 = 8

f(3) = 2.5f(2) = 2.5 * 8 = 20

f(4) = 2.5f(3) = 2.5 * 20 = 50

Therefore, f(4) = 50.

Answer:

7

Step-by-step explanation:

The probability distribution of the random variable Y is 0.63, 0.25, 0.12. The mean of y is 0.4899 and the std deviation of y is 0.6999 and the mean of the selling price for the fat quarters sold by Company G is $4.4 and the std deviation for the same is $0.99

a) x = number of defects on a fat quarter

to be sold, X must be, X ≤ 2

y = number of defects on the sellable fat quarter,

now from the table, P [fat quarter being sellable]

=P [X ≤ 2]

=0.58 + 0.23 + 0.11

= 0.92

Therefore, P[y-0] = P[x=0Ix≤2]

=\(\frac{P[x=0][x < 2]}{P[x < 2]}\)

=P[y=0] = 0.63

P[y=1] = P[x=1Ix≤2]

P[y=1] = \(\frac{0.23}{0.92}\)

=0.25

P[y=2] = P[x=2Ix≤2]

P[y=2] = \(\frac{0.11}{0.92}\)

= 0.12

y------------------0--------1---------2

probability---0.63----0.25----0.12

b)mean of y = E(y)

=0²×0.063+1×0.25+2×0.12

=0.25+0.24

=0.49

now we know that E(y²) = 0²×0.63+1²×0.25+2²×0.12

=0.25+0.48

=0.73

E(y²) - [E(y)]²

=0.73-0.49²

=0.4899

std deviation of y = 0.6999

c) now that we have E(G) = 0.40, √v(G) = 0.66

let s be selling price of fat quarters, then s = 5.00 - 1.50 × (G)

therefore = 5-1.5×0.4

=5-0.6

=$4.4 is the mean selling price.

now for the standard deviation price = v[5-1.5G]

=v(5)+1.5² v(G)

=0+2.25×0.66²

=v(s)= 0.9801

standard deviation of sp =√v(s)

=$0.99

To learn more about probability, click here:

brainly.com/question/11234923

#SPJ4

Answer:

scale factor is 3, k=3

Step-by-step explanation:

everything is being multiplied by 3

Remember that when you multiply a number by 10, the decimal point is moved one place to the right. Then:

Therefore, the answer is 275.4

"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.

This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.

Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.

When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.

In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.

Know more about Statistics here,

https://brainly.com/question/31538429

#SPJ11

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

To know more about exponents visit:-

brainly.com/question/11709654

#SPJ1

Answer:

1) x² + x

2) Check Below.

Explanation:

Hence sequence can be created:

2, 6, 12

Find difference:

2, 6, 12

 4   6

    2

Find Equation:

Then,

Then,

So Equation:

With Step Increasing, The step number multiplies the step number and plus the step number. That is the number of squares.

Answer:

here

Step-by-step explanation:

123cm is the answer

Answer:

B. -2

y-9=-2(x-8)

y-9=-2x+16

y=-2x+25

The slope is -2

Hope this helps!

Answer:

Option B

Step-by-step explanation:

The equation is in point slope form. \(y-y_1=m(x-x_1)\)

'm' - Slope

(x1,y1) - Coordinate

'-2' is in the place of 'm'. This means that '-2' is the slope of the line.

Option B should be the correct answer.

Since the area is zero, the coordinates of the centroid are undefined. This means that the centroid does not exist for this region.

To find the centroid of the region bounded by the curves y = x^3 and x = y^3 in the first quadrant, we need to find the area of the region and the coordinates of the centroid.

First, we can find the area of the region by integrating with respect to x:

A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy

= 1/4 - 1/4

= 0

This means that the area of the region is zero, which is not possible. Therefore, we must have made an error in our integration. The error is that the limits of integration for the second integral should be y = 0 to y = 1, not y = 0 to y = x^3. So, let's correct that:

A = ∫[0, 1] x^3 dx - ∫[0, 1] y^3 dy

= 1/4 - 1/4

= 0

Now, the area is zero because the region is symmetric with respect to the line y = x, and the areas on either side of this line cancel each other out.

To find the coordinates of the centroid, we need to integrate with respect to x and y:

x-bar = (1/A) * ∫∫[R] x dA

= (1/0) * ∫[0,1] ∫[y^3, y^(1/3)] x dx dy

= undefined

y-bar = (1/A) * ∫∫[R] y dA

= (1/0) * ∫[0,1] ∫[0, x^3] y dy dx

= undefined

To know more about centroid,

https://brainly.com/question/30078612

#SPJ11

Answer:

a

Step-by-step explanation:

Part a

x = number of months

43x = amount saved at $43 per month

43x ≥ 250  is the inequality

===============================================

Part b

43x ≥ 250

43x/43 ≥ 250/43

x ≥ 5.81395 approximately

Since x is a positive integer, the value 5.81395 rounds to 6

So it would be x ≥ 6

================================================

Part c

He needs 6 months to be able to save at least $250.

Five months gets him 43x = 43*5 = 215 which is 35 dollars short of the goal of 250.

But 6 months gets him 43x = 43*6 = 258 which is 8 dollars over the goal of 250.

The probability p(2) is 0.125e-0.5(e).

Given, Y follows a Poisson distribution, and p(0) = P(1).

The probability mass function of Poisson distribution is given by:

P(Y = y) = (e^(-λ)*λ^y) / y!

Let p(0) = P(1) = a, then using the Poisson distribution's probability mass function, we get:

P(Y=0) = a = (e^(-λ)*λ^0) / 0! => a = e^(-λ)

Also, P(Y=1) = a = (e^(-λ)λ^1) / 1! => a = λe^(-λ)

Solving these two equations, we get λ=1, and hence a = e^(-1).

Now, to find p(2), we can use the Poisson distribution's probability mass function and substitute λ=1:

P(Y=2) = (e^(-1)*1^2) / 2! = 0.125e^(-0.5)

Therefore, p(2) is 0.125e^-0.5(e).

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

The presents are divided as follows:

Let us assume that there are x, y and z purses in the yellow, red and green sacks respectively.

Then, we have the following cases:

Case I: Yellow and Red sacks

There are 20 presents, therefore,x+y must be a multiple of 5.

However, it is not possible to satisfy this constraint if y = 0 or y = 5.

Since x+y = 20, the possibilities are:

xy155

10x10

15x+20-x25

x=20

Therefore, there are 10 yellow and 10 red sacks.

Case II: Yellow and Green sacksThere are 35 presents, therefore,x+z must be a multiple of 5.

However, it is not possible to satisfy this constraint if z = 0 or z = 5.

Since x+z = 35, the possibilities are:

xz3055

25z=35-x

Therefore, there are 10 yellow and 25 green sacks.

Case III: Red and Green sacksThere are 25 presents, therefore,y+z must be a multiple of 5.

However, it is not possible to satisfy this constraint if z = 0 or z = 5.

Since y+z = 25, the possibilities are:

yz201515

z=25-y

Therefore, there are 15 red and 10 green sacks.

The presents are divided as follows:Yellow: 10 sacks with x purses each Red: 10 sacks with y purses each Green: 25 sacks with z purses each.

To know more about constraint, visit:

https://brainly.com/question/32636996

#SPJ11

The Number of ways that four people can be seated on the bench so that john is not next to paul is 12

In mathematics, An arrangement of things or items in a specific sequence is known as a permutation. One should think about both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important.

The arrangement of n items in r ways is given by

Here we have

4 people (John, Paul, George, and Ringo) are seated in a row on a bench

Here total No of ways that 4 can be seated = 4 × 3 × 2 × 1 = 24

The number of ways of seating the four people so that john is next to paul is 12

Then the number of ways the four people on the bench so that john is not next to paul can find as given below

= Total No of ways, 4 can be seated - No of ways that john next to paul  

= 24 - 12 = 12        

Learn more about Permutations at    

https://brainly.com/question/27058178

#SPJ1

The tension in a string which consists of two masses m1 and m2 that are connected is 35.05 N.

1. Calculate the total mass (m1 + m2):

  Total mass = 5 kg + 9 kg = 14 kg

2. Calculate the net force acting on the system due to gravity:

  Net force = m2 * g - m1 * g = (9 kg - 5 kg) * 9.81 m/s^2 = 4 kg * 9.81 m/s^2 = 39.24 N

3. Calculate the acceleration of the system:

  Acceleration = Net force / Total mass = 39.24 N / 14 kg = 2.8 m/s^2

4. Find the tension in the string by considering either mass, let's take m1:

  Tension = m1 * (g - acceleration) = 5 kg * (9.81 m/s^2 - 2.8 m/s^2) = 5 kg * 7.01 m/s^2 = 35.05 N

The tension in the string is approximately 35.05 N.

Note: The question is incomplete. The complete question probably is:  A simple Atwood machine consists of two masses m1 and m2 that are connected by a string wound over a pulley Assume m2 is larger than m1. Motion in the upward direction is positive. Suppose m1 = 5 kg and m2 = 9 kg. What is the tension in the string?

Learn more about Tension:

https://brainly.com/question/24994188

#SPJ11

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio

The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.

For example, if we have two quantities A and B, the ratio of A to B can be written as

A/B

A:B

"A is to B"

The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.

Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.

Learn more about ratio here

brainly.com/question/23499990

#SPJ4

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

To know more about equation refer here:

https://brainly.com/question/29657983

#SPJ11

Answer:

SSS I believe sorry if im wrong

Step-by-step explanation:

Answer:

1. Yes and for 2. I don't know

Step-by-step explanation:

1. is a monomial because 21/27 is one group

Answer:

2 : 3

Step-by-step explanation:

\( \huge\frac{ \frac{2}{7} }{ \frac{3}{7} } = \frac{2}{7} \times \frac{7}{3} = \frac{2}{3} = 2 : 3 \\ \)