Mastura owns a small food stall just outside the Alor Setar airport. She noticed that the number of flight delays do influence her revenue for the month. If there are more delays, the higher would be her revenue. Using a Linear Regression equation, predict Mastura's revenue for the month if the departure delays for this month is 49. Write the linear equation, and state the predicted revenue in RM. Coefficient s Standard Error t Stat P-value 2.42E-04 Intercept 729.48138 0.4832 6.19291 27.5141 9 Delays 8.9014135 0.924899 3.04E-07

Answers

Answer 1

Using the linear regression equation, we predict Mastura's revenue for the month to be approximately RM 1,165.55 when there are 49 departure delays.

The general form of a linear equation is:

Revenue = Intercept + (Coefficient for Delays * Number of Delays)

In this case, the Intercept is 729.48138, and the Coefficient for Delays is 8.9014135. So the equation becomes:

Revenue = 729.48138 + (8.9014135 * Number of Delays)

Now, we need to predict the revenue for the month when there are 49 departure delays:

Revenue = 729.48138 + (8.9014135 * 49)

Revenue = 729.48138 + (436.0690615)

Revenue = 1165.5504415

Thus, Mastura's revenue for the month is approximately RM 1,165.55 when there are 49 departure delays.

Learn more about Linear Regression equations:

https://brainly.com/question/25987747

#SPJ11


Related Questions

Example 1. What are the dimensions of an aluminum can that holds 40 in of juice and that uses the least material? Assume that the can is cylindrical, and is capped on both ends.

Follow the work in example 1 to find an equation (in terms of the radius r) for the total material used in a can having a volume of 10 cubic inches

Answers

The juice can will have a minimum material used if the radius of the cylinder is  1.8533 in and the height is 3.7069 in.

Let the radius of the cylindrical can be r in

We are given that the can holds 40 in³ of juice

Hence from the formula of cylinder, we have

πr² X height = 40

or, height = 40/πr²

The total surface area of a cylinder is given by

2π X radius X height + 2π X (radius)²

= 2πr X 40/πr²  +  2πr²

= 80/r  +  2πr²

Now we need to minimize the above equation

Hence differentiating with respect to r and equating to 0 we get

-80/r² + 4πr = 0

or, -20/r² + πr = 0

or, -20 + πr³ = 0

or, r³ = 20/π

or, r = ∛(20/π)

or, r = 1.8533

Now differentiating again with respect to r we get

160/r³ + 4π

Putting r = ∛(20/π) gives us

8π + 4π = 12π

Since the above result is positive, r = 1.8533 in is the value of the radius for which the surface area is minimized

Hence height is 3.7069 in

Hence the juice can will have a minimum material used if the radius of the cylinder is  1.8533 in and height is 3.7069 in.

To learn more about Maximisation visit

https://brainly.com/question/30208982

#SPJ4

Correct Question

(Image Attached)

Find y' when X4 y - 5xy? = siny +11.

Answers

The solution for y' is:

y' = (cosy - 4x^3 y + 5xy'') / (x^4 - 5)

To find y', we will differentiate both sides of the equation with respect to x using the product rule:

First, we differentiate the left side:

d/dx (x^4 y - 5xy') = d/dx (siny + 11)

Using the product rule, we get:

4x^3 y + x^4 y' - 5y' - 5xy'' = cosy * dy/dx

Next, we can simplify the right side since the derivative of a constant is zero:

4x^3 y + x^4 y' - 5y' - 5xy'' = cosy

Finally, we solve for y':

x^4 y' - 5y' - 5xy'' = cosy - 4x^3 y

y'(x^4 - 5) = cosy - 4x^3 y + 5xy''

y' = (cosy - 4x^3 y + 5xy'') / (x^4 - 5)

Therefore, the solution for y' is:

y' = (cosy - 4x^3 y + 5xy'') / (x^4 - 5)

To learn more about Using visit:

https://brainly.com/question/8723368

#SPJ11

Identify the form of the following quadratic

Answers

Answer:

Standard Form

ax^2 +bx + c = 0

Notice you can already solve for the y-intercept which is (0,4) or y=4

H(n)=−10+12nh, left parenthesis, n, right parenthesis, equals, minus, 10, plus, 12, n

Complete the recursive formula of

h

(

n

)

h(n)h, left parenthesis, n, right parenthesis.

h

(

1

)

=

h(1)=h, left parenthesis, 1, right parenthesis, equals


h

(

n

)

=

h

(

n



1

)

+

h(n)=h(n−1)+h, left parenthesis, n, right parenthesis, equals, h, left parenthesis, n, minus, 1, right parenthesis, plus

Answers

So, the recursive formula for H(n) is:

H(1) = 2

H(n) = H(n-1) + 12

A recursive formula is one that defines each term in a series by reference to the phrase(s) that came before it. The first term, or firsts, in the series must always be stated in recursive formulae. A recursive algorithm is one that uses "smaller (or simpler)" input values to call itself and gets the result for the current input by performing straightforward operations on the value that was returned for the smaller (or simpler) input.  

And the Fibonacci sequence is the most well-known recursive formula. The following is the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21,… Keep in mind that each number in the series is the product of the two numbers before it. For instance, the total of the two terms before it, 5 and 8, is 13.

Recursive formula for H(n), we need to find the first term and the common difference.

H(1) = -10 + 12(1) = 2

H(2) = -10 + 12(2) = 14

The common difference between H(1) and H(2) is 14 - 2 = 12.

Learn more about recursive formula visit: brainly.com/question/29224065

#SPJ4

Correct Question:

H(n) = -10 + 12n

Complete the recursive formula of h(n).

h(1) =

h(n) = h(n-1)+

1000 independent rolls of a fair die will be made. Given that the number 4 appears exactly 128 times and the number 2 appears exactly 160 times, find the probability that the number 1 will appear less than 123 times

Answers

The probability that the number 1 appears less than 123 times, given that the number 4 appears exactly 128 times and the number 2 appears exactly 160 times, is approximately 0.9989

To solve this problem, we can use the binomial distribution with n=1000 and [tex]p=\frac{1}{6}[/tex] for each roll of the fair die.

Let X be the number of times the number 1 appears in 1000 rolls. Then X follows a binomial distribution with parameters n=1000 and [tex]p=\frac{1}{6}[/tex].

We want to find P(X < 123), given that the number 4 appears exactly 128 times and the number 2 appears exactly 160 times.

First, we can use the fact that the total number of rolls is 1000 to find the number of remaining rolls:

Remaining rolls = 1000 - (128 + 160) = 712

Next, we can find the number of rolls that are not 1:

Non-1 rolls = 1000 - X

We know that the number 2 appears exactly 160 times, which means that the number of non-2 rolls is:

Non-2 rolls = 1000 - 160 = 840

Similarly, the number of non-4 rolls is:

Non-4 rolls = 1000 - 128 = 872

Since all rolls are independent, we can find the probability that the number 1 appears less than 123 times by using the binomial distribution with parameters n=712 and [tex]p=\frac{5}{6}[/tex] (the probability that a roll is not 1). Thus, we have:

P(X < 123 | X=128, 2=160) = P(Non-1 rolls < 589)

= P(Binomial(712,[tex]\frac{5}{6}[/tex] ) < 589)

=0.9989

Therefore, the probability that the number 1 appears less than 123 times, given that the number 4 appears exactly 128 times and the number 2 appears exactly 160 times, is approximately 0.9989.

To know more about "Probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

5, 6, 10


A. Determine whether the side lengths form a triangle. (explain your reasoning)
B. If it is a triangle, determine whether it is a right, acute, or obtuse triangle. (show your work)

Answers

The side lengths do indeed form a triangle

The type of triangle is an obtuse triangle.

How to find the triangle ?

In order to ascertain if given side lengths culminate in a triangle, recourse may be taken to the triangle inequality theorem. The said theorem stipulates, as a prerequisite for determining any given shape as a triangle, that it is contingent upon the addition of two sides being greater than the length of the third one.

The sums of two sides are greater than the third for all the combinations so this is indeed a triangle.

We can use the Pythagorean theorem to see the type of triangle.

c ² = 10 x 10 = 100

b ² + a ² = 5² + 6² = 61

c² > b ² + a ²

So this is an obtuse triangle.

Find out more on obtuse triangles at https://brainly.com/question/3250447

#SPJ1

You wish to test the following claim (Ha) at a significance level of a = 0.005. HP1 = P2 Ha:pi < P2 You obtain 31.8% successes in a sample of size ni = 600 from the first population. You obtain 44.6% successes in a sample of size n2 = 314 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = -3.861 X What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = 5.6298 X The p-value is... less than (or equal to) a O greater than a

Answers

The test statistic for this sample is -3.861, and the p-value for this sample is 0.0001. The p-value is less than the significance level α.

To test the claim (Ha) at a significance level of α = 0.005, with the given information, we will first find the test statistic and then the p-value.

1. Calculate the sample proportions: p1 = 31.8% successes in a sample of size n1 = 600, and p2 = 44.6% successes in a sample of size n2 = 314.

2. Find the difference between the sample proportions: d = p1 - p2.

3. Calculate the pooled proportion: P = (p1 * n1 + p2 * n2) / (n1 + n2).

4. Find the standard error: SE = sqrt(P * (1 - P) * (1/n1 + 1/n2)).

5. Calculate the test statistic (z): z = (d - 0) / SE.

Using the given information, the test statistic is -3.861.

Now, let's find the p-value:

6. Using the standard normal distribution table or calculator, find the p-value corresponding to the test statistic.

The p-value for this sample is 0.0001.

Now, compare the p-value to the significance level α:

The p-value (0.0001) is less than the significance level α (0.005).

Therefore, the test statistic for this sample is -3.861, and the p-value for this sample is 0.0001. The p-value is less than the significance level α.

Learn more about "test statistic": https://brainly.com/question/15110538

#SPJ11

If a section of a line graph is flat, what does that indicate?

A. a mistake in the graph

B. an increase

C. a decrease

D. no change

Answers

D no change because the graph doesn’t change positively or negatively
The answer will be c simple

How many functions are there from A = {1, 2, 3} to B = {a, b, c,d}? Briefly explain your answer.

Answers

There are 64 functions from set A to set B.

To determine how many functions there are from A = {1, 2, 3} to B = {a, b, c, d}, you can use the following step-by-step explanation:

1. Understand that a function maps each element of set A to exactly one element in set B.
2. Notice that set A has 3 elements, and set B has 4 elements.
3. For each element in set A, there are 4 choices in set B it can be mapped to.
4. Therefore, the total number of functions is equal to the product of the number of choices for each element in set A, which is 4 × 4 × 4 = 64.

So, there are 64 functions from A = {1, 2, 3} to B = {a, b, c, d}.

To learn more about functions visit : https://brainly.com/question/2328150

#SPJ11

Select the correct answer. Which logarithmic equation correctly rewrites this exponential equation? 8x = 64 A. log8 64 = x B. log8 x = 64 C. log64 8 = x D. logx 64 = 8 PLEASE HELP

Answers

This equation 8^x = 64 rewritten in logarithmic form is x = log₈(64)

What is this equation rewritten in logarithmic form?

From the question, we have the following parameters that can be used in our computation:

8^x = 64

Take the logarithm of both sides

So, we have

xlog(8) = log(64)

Divide both sides by log(8)

So, we have

x = log₈(64)

Hence, the equation is x = log₈(64)

Read more about logarithmic form at

https://brainly.com/question/28041634

#SPJ1

which is better? A 12.5 oz bag of doritos for 3.79 or a bag oz bag for 1.00

Answers

Answer: might be the 2nd one

Step-by-step explanation:

To determine which is better, we need to calculate the price per ounce of each option.

For the 12.5 oz bag of Doritos:
Price per ounce = $3.79 / 12.5 oz
Price per ounce = $0.3032 per ounce

For the 4 oz bag of Doritos:
Price per ounce = $1.00 / 4 oz
Price per ounce = $0.25 per ounce

Based on these calculations, the 4 oz bag of Doritos is a better deal as it has a lower price per ounce compared to the 12.5 oz bag.

Partial differential equation Using the characteristic (integration constant) find the solution to x . ∂u (x.y)/∂x + y . ∂u(x,y)/∂y = 0
with the boundary condition (1, y) = y

Answers

The solution to the given Partial differential equation is u(x,y) = y

What is Partial differential equation?

A partial differential equation (PDE) is a mathematical equation that involves two or more independent variables, an unknown function, and its partial derivatives with respect to the independent variables.

To solve the given partial differential equation using the method of characteristics, we need to find the solution along the characteristic curves.

Let dx/dt = x, dy/dt = y

Using the chain rule, we have:

∂u/∂x = ∂u/∂t * dt/dx = ∂u/∂t * 1/x

∂u/∂y = ∂u/∂t * dt/dy = ∂u/∂t * 1/y

Substituting these values in the given PDE, we get:

x * (∂u/∂t * 1/x) + y * (∂u/∂t * 1/y) = 0

∂u/∂t = 0

This means that u is constant along the characteristic curves, which are given by:

dx/x = dy/y

Integrating both sides, we get:

ln|x| = ln|y| + C1

x = C2 * y

where C1 and C2 are integration constants.

Using the boundary condition u(1,y) = y, we get:

u(x,y) = y = C2 * y

C2 = 1

Therefore, the solution to the given PDE is u(x,y) = y

To learn more about Partial differential equation visit:

https://brainly.com/question/28099315

#SPJ4

If $16000 is invested in an online saving account earning 4% per year, how much will be in the account at the end of 25 years if there are no other deposits or withdrawals and interest is compounded: semiannually? , quarterly? , daily? , continuously? ​

Answers

The amount of money in the account at the end of 25 years will be:

$38,419.83 if interest is compounded semiannually

$39,020.28 if interest is compounded quarterly

$39,214.44 if interest is compounded daily

$39,243.86 if interest is compounded continuously

We have,

We can use the formula for compound interest.

[tex]A = P(1 + r/n)^{nt}[/tex]

where:

A is the amount of money in the account after t years

P is the initial principal amount (the amount invested)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

Now,

P = $16,000

r = 4% = 0.04

To find the amount of money in the account with different compounding periods, we need to plug in different values for n.

If interest is compounded semiannually, we have n = 2 and t = 25:

So,

A = 16000(1 + 0.04/2)^(2 x 25)

A = $38,419.83

If interest is compounded quarterly, we have n = 4 and t = 25:

A = 16000(1 + 0.04/4)^(4 x 25)

A = $39,020.28

If interest is compounded daily, we have n = 365 (assuming 365 days in a year) and t = 25:

A = 16000(1 + 0.04/365)^(365 x 25)

A = $39,214.44

If interest is compounded continuously, we have n = infinity and t = 25:

A = 16000e^(0.04 x 25)

A = $39,243.86

Therefore,

The amount of money in the account at the end of 25 years will be:

$38,419.83 if interest is compounded semiannually

$39,020.28 if interest is compounded quarterly

$39,214.44 if interest is compounded daily

$39,243.86 if interest is compounded continuously

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

Wyatt walks 3 miles each day for 6 days. Aaliyah walks 4 1/2 miles each day for 6 days. How many more miles will Aaliyah walk in 6 days than Wyatt?

Someone pleeeeease help me

Answers

9 miles

WYATT: 3 miles multiplied by 6 days = 18 miles

AALIYAH: 4.5 miles multiplied by 6 days= 27 miles

the difference is 9 miles therefore Aaliyah walked 9 more miles than Wyatt.

Answer:

Wyatt walks 3 miles per day for 6 days, so he walks a total of:

3 x 6 = 18 miles

Aaliyah walks 4 1/2 miles each day for 6 days, so she walks a total of:

4 1/2 x 6 = 27 miles

To find how many more miles Aaliyah walks than Wyatt, we can subtract Wyatt's total distance from Aaliyah's total distance:

27 - 18 = 9 miles

Therefore, Aaliyah will walk 9 more miles than Wyatt in 6 days.

Step-by-step explanation:

Solve the following equation using the zero product property. Enter one solution per box. No brackets {} are needed.

Answers

The solution is, the solutions using the Zero Product Property: is x =8 and -5.

The expression to be solved is:

(x-8) (x + 5) = 0

we know that,

The zero product property states that the solution to this equation is the values of each term equals to 0.

now, we have,

(x-8) (x + 5) = 0

i.e. we get,

(x-8) × (x + 5) = 0

so, using the Zero Product Property:

we get,

(x-8) = 0

or,

(x + 5) = 0

so, we have,

x = 8 or, x = -5

The answers are 8 and -5.

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

plsssssssssss help me

Answers

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

I NEED HELP ASAP!!! Please help me!!!

Answers

Yes, Step 1 is correct.

No, Step 2 is not correct.

We have to given that;

Simone wants to create a graph of the function g (x) = 1 /(18e¹⁰⁺⁷ˣ) as a transformation of the graph of f (x) = eˣ.

Now, We can simplify as

g (x) = 1 /(18e¹⁰⁺⁷ˣ)

g (x) = (18e¹⁰⁺⁷ˣ) ⁻¹

g (x) = 1/18 e⁻¹⁰⁻⁷ˣ

Hence, We get;

To solve the expression Step 2 is incorrect.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

an extrinsic reward is enjoying what one does for its own sake and an intrinsic reward is an inducement such as money, grades, or recognition.True or False

Answers

False. An intrinsic reward is enjoying what one does for its own sake, while an extrinsic reward is an inducement such as money, grades, or recognition.

Intrinsic and extrinsic rewards are two different types of motivational factors that can influence behavior.

Intrinsic rewards are those that come from within oneself, such as the enjoyment of doing a task or the sense of accomplishment that comes from completing it. These rewards are inherently satisfying and enjoyable, and they motivate people to continue doing the task or activity because of the pleasure they derive from it. For example, a person may engage in a hobby like playing music, painting, or playing a sport simply because they find it enjoyable and rewarding in itself.

On the other hand, extrinsic rewards are external motivators that are used to induce or encourage behavior. These rewards are typically tangible, such as money, grades, or recognition, and are given as a result of completing a task or activity. They are designed to incentivize individuals to perform specific actions, often with the aim of achieving a specific goal or outcome. For example, a person may work hard at their job in order to earn a promotion or raise, or may study hard in school to earn good grades.

Intrinsic and extrinsic rewards can both be effective motivators, but they operate in different ways. Intrinsic rewards are powerful because they come from within the individual and are based on personal enjoyment and satisfaction. Extrinsic rewards, on the other hand, are often seen as less powerful and may only work in the short term, because they are not inherently satisfying and may not motivate people to continue performing the task or activity once the reward is removed. However, when used effectively, extrinsic rewards can be a useful tool for motivating people and achieving specific outcomes.

To learn more about motivational factors visit: https://brainly.com/question/25492018

#SPJ11

a committee of 5 members is to be selected from 6 seniors and 4 juniors. fine the number of ways in which this can be done if the committee has at least 1 junior.
a.252
b.6
c.246
d.120

Answers

A or b is the correct answer
Final answer:

The answer to the question is 'c. 246'. This is calculated by determining the total number of ways to form the committee, subtracting the ways in which only seniors can be selected to ensure at least one junior is included.

Explanation:

This question is related to combinatorics, a branch of Mathematics that deals with counting, arrangement, and permutation. Given we have 6 seniors and 4 juniors, and we need to select a committee of 5 members with at least one junior, we can approach it in the following way:

First we consider the total number of ways to form a 5-member committee without any restriction. From 10 people (6 seniors + 4 juniors), we can choose 5 in 10C5 ways, which equals 252. Next, we consider the number of ways to form a 5-member committee with only seniors. From 6 seniors, we can choose 5 in 6C5 ways, which equals 6. We subtract the number of committees that contain only seniors from the total number of committees to find the number of committees with at least one junior. Hence, 252 - 6 = 246 ways.

Learn more about Combinatorics here:

https://brainly.com/question/32015929

#SPJ2

The students in homeroom 232 are exploring equivalencies when saddened or minuend is missing.
How might we solve for this problem? Can you explain what would make this equation true?

Answers

To solve a problem involving missing addends or minuends in homeroom 232, students can use the concept of equivalencies to create an equation.

Let's say we have the equation A + B = C, where A is the missing addend or minuend, B is a known value, and C is the given sum or difference. To make this equation true, students can use algebraic manipulation to find the missing value (A). For example, if the equation is A + B = C, then A = C - B. By substituting the known values for B and C, students can determine the missing addend or minuend (A) and establish equivalencies between both sides of the equation. This will help them understand the relationships among the numbers and effectively solve the problem.

Learn more about equations here: brainly.com/question/15707224

#SPJ11

Given the system of equations: 3x − 3y = 6 2x + 6y = 12 Solve for (x, y) using elimination.a. (−6, 0) b. (3, 1)c. (4, 2)d. (8, 6)

Answers

The solution of the system of equations 3x − 3y = 6 and 2x + 6y = 12 is x = 3 and y = 1, hence option is b is correct.

We must eliminate one of the variables by adding or subtracting the two equations in order to solve for (x, y) using elimination. Let us multiply the equation by 2 and 3 respectively so that the equations becomes,

6x - 6y = 12

6x + 18y = 36

Now, using the equations,

24y = 24

So, y = 1. Substituting this back into either of the original equations gives:

3x - 3(1) = 6

3x = 9

So, x = 3. Therefore, the answer of equation is (b) (3, 1).

To know more about elimination methods, visit,

https://brainly.com/question/25427192

#SPJ4

A soccer player has a large cylindrical water cooler that measures 2.5 feet in diameter and is 5 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth.

98.13 gallons
733.98 gallons
24.53 gallons
183.49 gallons

Answers

The volume in gallons of the water cooler is 183.49 gallons

How many gallons of water are in the water cooler when it is completely full?

We know that the volume of a cylinder of radius R and height H is.

V = pi*R²*H

Where pi = 3.14

Here we know that the diameter is 2.5 ft, then the radius is:

R = 2.5ft/2 = 1.25ft

And the height is 5ft

So the volume is:

V = 3.14*(1.25ft)²*5ft = 24.53125 ft³

And we know that

1ft³ =  7.48 gallons

Then we can do a change of units to get:

24.53125*7.48 gal = 183.49 gal

That is the correct option.

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

Date: Practise Section 7.2 1. Find the greatest common factor (GCF) of a) 64 and 72 b) 2a2 and 12a c) 4x2 and 6x 2. For each polynomial, indicate if it is in the factored form or expanded form and identify greatest common factor. a) 3x - 12 b) 5(13y - x) c) 3x2 12x + 9 - GCF = GCF = GCF = 3. Completely factor each polynomial and check by expanding a) 3p - 15 b) 21x2 - 9x + 18 c) 6y2 + 18y + 30 = 3( - ) Check: Check: Check: 4. Write a trinomial expression with a GCF of 3n. Factor the expression.

Answers

1. a) The prime factorization of 64 is 2^6 and the prime factorization of 72 is 2^3 × 3^2. The common factor is 2^3, so the GCF of 64 and 72 is 8.  b) The GCF of 2a^2 and 12a is 2a.  c) The GCF of 4x^2 and 6x is 2x.

2. a) Factored form: 3(x - 4), GCF = 3  b) Factored form: 5(13y - x), GCF = 5  c) Expanded form: 3x^2 + 12x + 9, GCF = 3

3. a) 3(p - 5), check: 3p - 15 b) 3(7x - 3)(x + 2), check: 21x^2 - 9x + 18 c) 6(y + 1)(y + 5), check: 6y^2 + 18y + 30

4. A trinomial expression with a GCF of 3n is 3n(x^2 + 4x + 3). Factoring the expression, we get 3n(x + 3)(x + 1).

Let us discuss this in detail.

1. a) The GCF of 64 and 72 is 8.
  b) The GCF of 2a^2 and 12a is 2a.
  c) The GCF of 4x^2 and 6x is 2x.

2. a) 3x - 12 is in expanded form, GCF = 3.
  b) 5(13y - x) is in factored form, GCF = 5.
  c) 3x^2 + 12x + 9 is in expanded form, GCF = 3.

3. a) Factoring 3p - 15 gives 3(p - 5), Check: 3(p - 5) = 3p - 15.
  b) Factoring 21x^2 - 9x + 18 gives 3(7x^2 - 3x + 6), Check: 3(7x^2 - 3x + 6) = 21x^2 - 9x + 18.
  c) Factoring 6y^2 + 18y + 30 gives 6(y^2 + 3y + 5), Check: 6(y^2 + 3y + 5) = 6y^2 + 18y + 30.

4. A trinomial expression with a GCF of 3n could be 3n(x^2 + y^2 + z^2). Factoring this expression gives 3n(x^2 + y^2 + z^2), which is already in factored form.

Learn more about  prime factorization at https://brainly.com/question/18187355

#SPJ11

Find the exact value.


- sin 150°


- cos 150°

Answers

The value of sin 150° is -1/2. and cos 150° is √3/2 (note that it is negative because it is in the second quadrant).

We can use the unit circle to find the exact values of sin 150° and cos 150°.

First, let's consider sin 150°. Since 150° is in the second quadrant, we know that sin 150° is negative. Also, we know that the sine function is periodic with a period of 360°, which means that sin 150° is equal to sin (150° - 360°) = sin (-210°). Now we can use the reference angle of 30° (since 210° is 30° past the 180° mark in the second quadrant) to find the exact value of sin 150°:

sin 150° = sin (-210°) = -sin 30° = -1/2

Therefore, sin 150° is -1/2.

Next, let's consider cos 150°. Since 150° is in the second quadrant, we know that cos 150° is negative. Also, we know that the cosine function is periodic with a period of 360°, which means that cos 150° is equal to cos (150° - 360°) = cos (-210°). Now we can use the reference angle of 30° to find the exact value of cos 150°:

cos 150° = cos (-210°) = cos 30° = √3/2

Therefore, cos 150° is √3/2 (note that it is negative because it is in the second quadrant).

To know more about   value, here

https://brainly.com/question/843074

#SPJ4

determine the time necessary for p dollars to doubl when it is invested at ineterest rate r compounded annually, monthly, daily, and continously, (round your answers to two decimal places.)

Answers

The time necessary for p dollars to double when it is invested at interest rate r compounded annually is given by the formula:

t = (ln 2) / (r ln (1 + r))

When compounded monthly, the formula becomes:

t = (ln 2) / (12 r ln (1 + r/12))

When compounded daily, the formula becomes:

t = (ln 2) / (365 r ln (1 + r/365))

When compounded continuously, the formula becomes:

t = ln 2 / (r)

Note that ln is the natural logarithm function.

To use these formulas, you need to know the value of the interest rate r. For example, if r is 5%, then:

When compounded annually, t = (ln 2) / (0.05 ln 1.05) = 13.86 years
When compounded monthly, t = (ln 2) / (12 x 0.05 ln 1.0041) = 14.21 years
When compounded daily, t = (ln 2) / (365 x 0.05 ln 1.000137) = 14.27 years
When compounded continuously, t = ln 2 / (0.05) = 13.86 years

Therefore, the time necessary for p dollars to double depends on the interest rate and the frequency of compounding. Generally, the more frequently the interest is compounded, the shorter the time necessary for p dollars to double.

Learn more about natural logarithm function:

https://brainly.com/question/31390864

#SPJ11

Evaluate the integral

Answers

The integral expression [tex]\int\limits^4_{-4} {f(x)} \, dx[/tex] when evaluated has a value of 352/3

Evaluating the integral expression

From the question, we have the following parameters that can be used in our computation:

[tex]\int\limits^4_{-4} {f(x)} \, dx[/tex]

The function f(x) is a piecewise function

When the functions are combined, we have

f(x) = 4 + 16 - x²

Evaluate the like terms

So, we have

f(x) = 20 - x²

So, we have

[tex]\int\limits^4_{-4} {f(x)} \, dx = \int\limits^4_{-4} {20 - x\²} \, dx[/tex]

Integrate the function

So, we have

[tex]\int\limits^4_{-4} {f(x)} \, dx = 20x - \frac{x^3}3|\limits^4_{-4}[/tex]

Expand the integral expression

This gives

[tex]\int\limits^4_{-4} {f(x)} \, dx = 20(4) - \frac{4^3}3 - 20(-4) + \frac{(-4)^3}3[/tex]

Evaluate the expression

So, we have

[tex]\int\limits^4_{-4} {f(x)} \, dx = \frac{352}{3}[/tex]

Hence, the solution is 352/3

Read more about integrals at

https://brainly.com/question/15106632

#SPJ1

Quasilinearization Method
Q9-) Define the maximal solutions and minimal solutions of the
first order IVP.

Answers

The Quasilinearization Method is defined as a numerical method used to approximate the solutions of nonlinear differential equations. In the context of first-order initial value problems (IVPs), a maximal solution is the largest possible solution that exists for the given initial value, while a minimal solution is the smallest possible solution that exists for the given initial value.


In other words, a maximal solution is a solution that extends as far as possible beyond the given initial value without encountering any singularities or breaking down, while a minimal solution is a solution that is defined only on a minimal interval around the initial value, beyond which it cannot be extended without encountering a singularity or breaking down.

It is worth noting that not all first-order IVPs have both maximal and minimal solutions, as some may have either no solution, a unique solution, or multiple solutions that overlap or intersect.

However, if a maximal solution and a minimal solution do exist for a given IVP, they are guaranteed to be unique and continuous.

In summary, the Quasilinearization Method can be used to approximate both the maximal and minimal solutions of a first-order IVP, which represent the largest and smallest possible solutions that exist for the given initial value.

Learn more about IVPs:

https://brainly.com/question/30153142

#SPJ11

90° 20" - 78° 45' 30"
Quick pls

Answers

11° 34' 30" is the answer

If you go on both rides, can you be confident that your wait time for Speed Slide will be longer than your wait time for Wave Machine? Yes. Every Speed Slide wait time is more than every Wave Machine wait time. No. There is a lot of overlap in the two data sets.​

Answers

Answer:

No

Step-by-step explanation:

Hope this helps :)

12. Housing According to the Census Bureau, the distribution by ethnic background of the New York City population in a recent year was Hispanic: 28% Black: 24% White: 35% Asian: 12% Others: 1% The manager of a large housing complex in the city wonders whether the distribution by race of the complex's residents is consistent with the population distribution. To find out, she records data from a random sample of sochresidents. The table below displays the sample data." Race: Asian Hispanic 212 Black White 202 270 Other 22 Count: 94 Are these data significantly different from the city's distribution by race? Carry out an appropriate test at the a 0.05 level to support your answer. If you find a significant result, perform a follow-up analysis.

Answers

we can conclude that there is a significant difference between the observed and expected frequencies of race categories.

To determine if the housing complex's distribution of residents by race is significantly different from the population distribution, we can perform a chi-square goodness-of-fit test.

First, we need to calculate the expected frequencies for each race category based on the population distribution. The expected frequencies can be calculated as follows:

Expected frequency for Hispanics = 0.28 x 94 = 26.32
Expected frequency for Blacks = 0.24 x 94 = 22.56
Expected frequency for Whites = 0.35 x 94 = 32.9
Expected frequency for Asians = 0.12 x 94 = 11.28
Expected frequency for Others = 0.01 x 94 = 0.94

We can then calculate the chi-square statistic as follows:

χ2 = Σ (O - E)2 / E

where O is the observed frequency and E is the expected frequency for each race category.

Using the data from the table, we can calculate the chi-square statistic as follows:

χ2 = [(212-11.28)2/11.28] + [(202-26.32)2/26.32] + [(270-32.9)2/32.9] + [(22-22.56)2/22.56] + [(0-0.94)2/0.94] = 52.06

We have 5 categories and 1 parameter estimated (the expected frequencies), so the degrees of freedom for the test are df = 5 - 1 = 4.

Using a chi-square distribution table with 4 degrees of freedom and a significance level of 0.05, the critical value is 9.49.

Since our calculated chi-square statistic (52.06) is greater than the critical value (9.49), we can reject the null hypothesis that the housing complex's distribution of residents by race is consistent with the population distribution. Therefore, we can conclude that there is a significant difference between the observed and expected frequencies of race categories.

For the follow-up analysis, we can perform post-hoc tests to determine which race categories have significantly different distributions. One way to do this is to perform chi-square tests of independence between the housing complex's distribution and the population distribution for each race category. We can also calculate the standardized residuals for each race category to determine which categories have the largest contributions to the overall chi-square statistic.

Visit  to know more about Frequency:-

brainly.com/question/254161

#SPJ11

Other Questions
How much dextrose is contained in 250 mL D10W?Select one:25 g25 mg250 g250 mg Sheri took out a $396,000, 15-year mortgage with an APR of 3.65%.Her monthly payment is $2,820.59. What was her ending balance at theend of that first month? Write the symbol of the most abundant isotope of potassium. How many neutrons does it contain? Determine the interval(s) on which the given function is decreasing. A. ([infinity], 1) (0,[infinity])B. (1, [infinity])C. ([infinity], 1) (1, [infinity])D. (1, 0) It costs $1.12 to buy 7 gift tags. If the tags all cost the same amount, what is the price of each tag? I heard you might have to increase your prices by 12% if i normally pay $45 per order, how much would my order be if the price increse happens? QUESTION 75 State under which head the following accounts should be classified in Balance Sheet, as per Schedule Ill of the Companies Act,2013: (i) Share application money received in excess of issued share capital. (ii) Share option outstanding account. (iii) Unpaid matured debenture and interest accrued thereon. (iv) Uncalled liability on shares and other partly paid investments. (v) Calls unpaid. (vi) Intangible Assets under development. (vii) Money received against share warrant. (viii) Cash equivalents. Listed below are five variances (and possible causes) that are under review by management of Knox Company. Which of the following is least likely to cause the variance indicated? The need to ship goods acquired from a distant supplier via FedEx rather than via truck; material price variance. The need to complete goods on a timely basis during a period of high absenteeism; labor rate variance. A work-team that is very unhappy with its supervisor; labor efficiency variance. The need to close a plant for two days because of blizzard conditions; material quantity variance, part no. 542. A malfunctioning piece of manufacturing equipment; labor efficiency variance. 83. The numbers from 0 to 24 are to be placed in the boxes to form a magic square. Someof the numbers are already filled in. What number goes in the box marked A?19 7A21624 122341 27 1922182117 How do I find the quadratic formula? in the hobbit what indications are given that gollum was not always as he presently appears to bilbo? Describe Schneider and Shiffrin's experiment that demonstrated automatic processing. What are some real life examples of automatic processing? When is automatic processing not possible? Posterior probabilities are _____.a. simple probabilitiesb. conditional probabilitiesc. joint probabilitiesd. marginal probabilities What do the arrows represent in the picture? What is the name of the fish fins used mostly for balance? Your friend went to a conference where he heard the term "follow-the-sun" development process. What does that mean? How many separate channels of MIDI information can be sent over a single MIDI cable? Who must EMS providers transfer the care of a patient to? Which signs and symptoms would the nurse observe in a client experiencing alcohol withdrawal? Select all that apply. One, some, or all responses may be correct.A. FatigueB. AnxietyC. Runny noseD. DiaphoresisE. Psychomotor agitation Mike measured the height of an art frame as 6. 33 feet, but the actual height was 7 feet. What is the percent of error in Mike's measurement?