a+history+test+has+30+questions.+a+student+answers+90%+of+the+questions+correctly.+how+many+questions+did+the+student+answer+correctly?

Answers

Answer 1

The student answered 27 out of 30 questions correctly on the history test, achieving a 90% accuracy rate.

To calculate the number of questions the student answered correctly, we can multiply the total number of questions (30) by the percentage of questions answered correctly (90%). The calculation is as follows:

Number of questions answered correctly = Total number of questions × Percentage of questions answered correctly

= 30 × 0.90

= 27

Therefore, the student answered 27 questions correctly on the history test.

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Related Questions

Find GCF (212, 96) and LCM (212, 96) using prime factoring.
Anyone know...

Answers

Answer:

8x12 and 2x2x53

Step-by-step explanation:

Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans

Answers

I think it’s gonna be 25%

Estimate the answers of these:
1. 489+1210
2. 3694-2016
3. 5082×312
4. 761÷34​

Answers

nana xbox ksnsnsnmakam 6

Write the equation of the circle.
Circle C that passes through (-5, 1) with center C(1,-4).

Answers

Answer:

answer is on this page

Step-by-step explanation:

https://www.mathpapa.com/algebra-calculator.html

M∠ACB = 52° , find m∠CBE =________°

Answers

Answer:

(1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º     (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

(2) Distance of point C from AB = 6 cm    (Radius of the circle)

(3) ∆ABC is a right triangle.

CA = 6 cm and AB = 6 cm

Using Pythagoras theorem, we have

BC2=AB2+CA2⇒BC=

62+62

⇒BC=6

2

 cm

Thus, d(B, C) = 6

2

cm

(4) In right ∆ABC, AB = CA = 6 cm

∴ ∠ACB = ∠ABC      (Equal sides have equal angles opposite to them)

Also, ∠ACB + ∠ABC = 90º            (Using angle sum property of triangle)

∴ 2∠ABC = 90º

⇒ ∠ABC =

90°

2

= 45º

Thus, the measure of ∠ABC is 45º.

Step-by-step explanation:

At midnight, the temperature in Escondido was 68 degrees. The temperature was dropping at a steady rate of 2 degrees per hour. After how many hours was the temperature colder than -4 degrees?

Answers

Answer:

72 hours

Step-by-step explanation:

Answer: 34 hours

Step-by-step explanation: 68 divided by 34 is 2 and thats the rate the temperature is dropping.

"In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 320 infants using bednets, 10 developed malaria. Among 279 infants not using bednets, 24 developed malaria. Use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. Do the bednets appear to be effective? Conduct the hypothesis test by using the results from the given display." solve for the test statistic, p, and what is the conclusion result?

Answers

To test the claim that the incidence of malaria is lower for infants using bednets, a hypothesis test is conducted using the given data. The test statistic is calculated and compared to the critical value at a significance level of 0.01.

The null hypothesis (H0) assumes that the incidence of malaria is the same for infants using bednets and those not using bednets. The alternative hypothesis (Ha) suggests that the incidence of malaria is lower for infants using bednets.

To conduct the hypothesis test, the test statistic can be calculated using the formula:

test statistic (p) = (p1 - p2) / sqrt[(p(1 - p) / n1) + (p(1 - p) / n2)]

Where:

p1 = proportion of infants using bednets who developed malaria

p2 = proportion of infants not using bednets who developed malaria

n1 = number of infants using bednets

n2 = number of infants not using bednets

Using the given data, the test statistic is computed as:

p = (10/320) - (24/279) / sqrt[((10+24)/(320+279)) * (1 - ((10+24)/(320+279))) * ((1/320) + (1/279))]

By comparing the calculated test statistic with the critical value at a significance level of 0.01, a conclusion can be made regarding the effectiveness of bednets in reducing malaria incidence.

If the test statistic falls within the critical region (beyond the critical value), the null hypothesis is rejected in favor of the alternative hypothesis, indicating that the bednets appear to be effective in reducing malaria incidence. Conversely, if the test statistic does not fall within the critical region, there is not enough evidence to reject the null hypothesis, suggesting that the bednets may not be effective in reducing malaria incidence.

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A coin was tossed 50 times and landed on tails 10 times. What is the Probability that will land on tail on the next toss.

Answers

Answer:

4/5

Step-by-step explanation:

50-10 = 40

40/50 = 4/5

the answer is 40/50

Step-by-step explanation:

50-10=40

it's easy

This year, the ACT score of a randomly selected student is normally distributed with a mean of 24.4 points and a standard deviation of 4.7 points. Let XX be the ACT score of a randomly selected student and let ¯¯¯XX¯ be the average ACT score of a random sample of size 16.

1. Describe the probability distribution of XX and state its parameters μμ and σσ:

Answers

The probability distribution of the sample mean is approximately normal, with mean of 24.4 points and standard deviation of 1.175 points.

How to obtain the distribution?

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The mean is the same as the population mean, of 24.4 points, while the shape is approximately normal.

The standard error is given as follows:

[tex]s = \frac{4.7}{\sqrt{16}} = 1.175[/tex]

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find the area of a polygon with the vertices of (-4, 5), (-1, 5), (4, -3), and (-4, -3). suggestion: plot the points on graph paper and connect the vertices to form the polygon.

Answers

The area of the polygon with the vertices (-4, 5), (-1, 5), (4, -3), and (-4, -3) is 12 square units.

To calculate the area of the polygon, we can use the shoelace formula, also known as Gauss's area formula or the surveyor's formula. The formula involves writing the x-coordinates and y-coordinates of the vertices in a specific order and performing a series of calculations.

1. We write the x-coordinates of the vertices in one row, repeating the first coordinate at the end: -4, -1, 4, -4.

2. We write the y-coordinates of the vertices in the next row, in the same order: 5, 5, -3, -3.

3. Next, we multiply each pair of adjacent x and y coordinates and add them together in a counterclockwise direction.

4. Then, we subtract the sum of the products of the y-coordinates and the x-coordinates in a counterclockwise direction.

5. Taking the absolute value of this result, we divide it by 2 to obtain the area.

Applying the shoelace formula:

Area = |((-4*5) + (-1*-3) + (4*-3) + (-4*5)) - (5*-1 + 5*4 + -3*-4 + -3*-4)| / 2

    = |-49 - (-25)| / 2

    = |-24| / 2

    = 12 / 2

    = 12.

Therefore, the area of the polygon with the given vertices is 12 square units.

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Amber and her older brother Johnny were helping their father build a sand pit in their
backyard to go with the new swimming pool he just purchased. The sand pit is circular in
shape. The height of the p[it is to be 2 feet. The radius of the pit is to be 6 feet. If one 50
pound bag of sand covers.52ft of space, how many bags of sand will be needed to
completely fill the sand pit?

Answers

I hope you find the answers!

rectangle has its vertices at M(1,1), N(6,1), O(6,5), P(1,5). The rectangle is translated to the left 4 units and down 3 units. What are the new coordinates? (Answer Format: M(#,#) N(#,#) O(#,#) P(#,#))

Answers

Answer:

7aabbbjdkdbdjdkxbsks n sbs

Jsksbakabkabdvdiavsjwkdbsbq

The table shows the costs
for 2, 3, 4, and 5 vegetable
seed packets. What is the
unit rate?

Answers

1 seed packet = $1.50



Answers:

2 seed packets=$3.00
3 seed packets= $4.50
4 seed packets= $6.00
5 seed packets= $7.50

can someone awnser the following screenshot

Answers

The answer is 23v

steps-

remove the parentheses

2x7v+9v

multiply the number

2x7=14+19v

add them

14v+19v=23v

Given x=e−t and y=te8t, find the following derivatives as functions of t .
dy/dx = ________
d²y/dx² = ________

Answers

Answer:

[tex]\frac{dy}{dx}=-(8t+1)e^{9t}\\\frac{d^{2}y}{dx^{2}}=(72t+17)e^{10t}[/tex]

Step-by-step explanation:

The explanation is attached below.

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

Firstly, we will find the value of dx/dt using the Chain rule as follows: dx/dt = - e^(-t)Then, the value of dy/dt can be calculated as

dy/dt = (d/dt) [t(e^(8t))]   [Using product rule]= te^(8t) + t * 8e^(8t)  

[Using the product rule again]= te^(8t) + 8te^(8t)  

[Factoring out t]= te^(8t) (1 + 8t)So, we have obtained the first derivative of y w.r.t t.

Now, let's find the second derivative of y w.r.t t.d²y/dt² = (d/dt) [te^(8t) (1 + 8t)]  

[Using the product rule]= e^(8t)(1 + 8t) + t * 8e^(8t)

  [Using the product rule again]= e^(8t)(1 + 8t) + 8te^(8t)  

[Factoring out 8e^(8t)]= e^(8t) (1 + 8t + 8t)

 [Factorizing]= e^(8t) (16t + 1)

So, the value of the derivative dy/dx is:dy/dx = (dy/dt) / (dx/dt) = te^(8t) (1 + 8t) / - e^(-t) = -te^(9t) (1 + 8t)

Thus, the values of derivatives as functions of t are:

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

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Find the surface area of the square pyramid shown below.

(15 points)

Answers

Answer:

340

Step-by-step explanation

Base=10x10=100

Sides= {(12x10)/2}x4=240

Add sides plus base, 240+100=340

Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!

Answers

Answer:

3 units

Step-by-step explanation:

-1, 0, 1 ,2

( 1, 2 ,3)

Give the other person Brainliest :)

College admissions According to information from a college admissions office, 62% of the students there attended public high schools, 26% attended private high schools, 2% were home schooled, and the remaining students attended schools in other countries. Among this college's Honors Graduates last year there were 47 who came from public schools, 29 from private schools, 4 who had been home schooled, and 4 students from abroad. Is there any evidence that one type of high school might better equip students to attain high academic honors at this college? Test an appropriate hypothesis and state your conclusion.

Answers

To test whether one type of high school better equips students to attain high academic honors at a college, we can compare the observed proportions of Honors Graduates from different high school types to the expected proportions based on the overall distribution. Using a chi-squared test, the hypothesis test assesses whether the observed differences are statistically significant.

To test the hypothesis, we set up the null hypothesis (H0) that the type of high school attended does not affect the likelihood of attaining high academic honors. The alternative hypothesis (Ha) states that there is a significant association between high school type and academic honors.
Using the given information, we calculate the expected number of Honors Graduates for each high school type based on the overall distribution of high school attendance. Then, we compare the observed and expected frequencies using a chi-squared test. The test evaluates the difference between the observed and expected counts to determine if it is statistically significant.If the chi-squared test results in a p-value below a predetermined significance level (e.g., 0.05), we reject the null hypothesis, suggesting that there is evidence to support the alternative hypothesis.

This would indicate that one type of high school may better equip students to attain high academic honors at the college. Conversely, if the p-value is above the significance level, we fail to reject the null hypothesis, indicating that there is insufficient evidence to conclude a significant association between high school type and academic honors.
To draw a conclusion, we would need to perform the chi-squared test and compare the calculated p-value to the chosen significance level.

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240g in the ratio 5:3:2​

Answers

Answer:

120:72:48

Step-by-step explanation:

Remark

Whatever the answer is (call it x to begin with), the equation starts as

5x + 3x + 2x = 240

What this means is that when you solve for x the results when multiplied by the ratio, should add to 240

Equation

5x + 3x + 2x = 240

Solution

Combine all the terms on the left.

10x = 240                    Divide by 10

x = 240/10

x = 24

Check

5*24 = 1203*24 =  722*24 =  48Total = 240

a little help pls this old i don't remember any of it

Answers

Answer:

Bowling ball

Step-by-step explanation:

A bowling ball has much more mass than all three of the other choices and the amount of kinetic energy is determined based on a object's mass and velocity, but in this case, all 4 balls are traveling at the same velocity. Therefore, we know that the bowling ball has much more mass so therefore it has the most kinetic energy.  

1. A cooler is in the shape of a rectangular
prism. What is the volume of the cooler?
Round to the nearest tenth if necessary.
I

Answers

Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

What is a volume?

Volume is the amount of space taken up by an object

What is the volume of a rectangle?

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

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3. Your friend shows you a scale drawing of her apart-
ment. The drawing of the apartment is a rectangle
4 inches by 6 inches. Your friend wants to know the
length of the shorter side of the apartment. If she
knows that the length of the longer side of the apart-
ment is 30 feet, how many feet long is the shorter side
of her apartment?

Answers

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

Suppose f(x, y) = x + , where 0 <= x <=1 0 <=y <= 2

Find P(Y - X< 1)

Answers

To determine the area of a region, we need to know the specific shape and dimensions of the region in question. The process for finding the area varies depending on the shape. P(Y - X < 1) = Area of region below y - x = 1 within the given constraints= 1/6 sq. units.

Given, f(x, y) = x + y, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2 We are to find P(Y - X < 1)

Now, Y - X < 1 is the equation of the line in the XY plane. We have to find the area of the region below this line within the given constraints. To find this, we have to integrate over the region below the line,

i.e.,y - x = 1 implies x = y - 1∫∫R (x + y)dA = ∫₀² ∫₀^(y-1) (x + y) dx dy= ∫₀² [(y²/2) - y + (1/2)] dy= 1/6 sq. units.

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Answer:

Step-by-step explanation:

Given function f(x, y) = x + y, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2. The probability of P(Y - X < 1) is 1/4.

Now we have to find P(Y - X < 1).

The probability of (Y - X < 1) is given by:

P(Y - X < 1) = Area of the region {(x, y): y - x < 1} / Area of the region R.

Here R is the region bounded by 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2.

We know that the function f(x, y) = x + y is a plane with slope 1, and intersects the y-axis at (0, 0) and the x-axis at (0, 0).

Now the line y - x = 1 intersects the plane at x = 0 and y = 1, so the intersection point is (0, 1).

Now the area of the region {(x, y): y - x < 1} can be found by finding the area of the triangle ABC as shown below: [tex]A=\frac{1}{2}Base×Height[/tex], Where base BC is of length 1 and height AB is of length 2 - 1 = 1.

Therefore, the area of the triangle ABC is:

Area of the triangle ABC = 1/2 × 1 × 1

= 1/2

The area of the region R can be found by finding the area of the rectangle with sides of length 1 and 2.

Therefore, the area of R is:

Area of R = 1 × 2

= 2

P(Y - X < 1) = Area of the region {(x, y): y - x < 1} / Area of the region RP(Y - X < 1)

= (1/2) / 2P(Y - X < 1)

= 1/4

Therefore, P(Y - X < 1) = 1/4.

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Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.

Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)

Answers

Answer:

x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Step-by-step explanation:

Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;

2y + x + y = [tex]180^{o}[/tex]

x + 3y = [tex]180^{o}[/tex] ................ 1

Also,

2x + x + 2y = [tex]180^{o}[/tex]

3x + 2y = [tex]180^{o}[/tex] .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = [tex]180^{o}[/tex] ............. 4

7y = 360

y = [tex]\frac{360}{7}[/tex]

y = [tex]51.4^{o}[/tex]

substitute the value of y in equation 1,

x + 3y = [tex]180^{o}[/tex]

x + 3(51.4) = [tex]180^{o}[/tex]

x + 154.2 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 154.2

x = [tex]25.8^{o}[/tex]

Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Jada makes sparkling juice by mixing 3 cups sparkling water with 5 cups apple juice. a. How much sparkling water does Jada need if she uses 30 cups of apple juice? b. How much apple juice does Jada need if she uses 9 cups sparkling water?

Answers

Answer:

(A) 22

(B) 12

Step-by-step explanation:

Jada makes sparkling juice by mixing 3 cups of sparkling water and 5 cups of Apple juice

(A) Jada uses 30 cups of Apple juice,the amount of sparkling water needed is

3+5

= 8

30-8

= 22

(B) 9+3

= 12

Which is the solution to the equation solved for p? (q + p)q = (s + r)s

Answers

Answer:

Option B

Step-by-step explanation:

[tex](q + p)q = (s + r)s[/tex]

Lets open the brackets of L.H.S.

[tex]=> q^2 + pq = (s+ r)s[/tex]

Lets substract q² from both the sides.

[tex]=> q^2 + pq - q^2 = (s + r)s - q^2[/tex]

[tex]=> pq = (s + r)s - q^2[/tex]

Lets divide both the sides by q.

[tex]=> \frac{pq}{q} = \frac{(s + r)s - q^2}{q}[/tex]

[tex]=> p = \frac{(s + r)s }{q} - \frac{q^2}{q} = \frac{(s + r)s}{q} - q[/tex]

the intercept in the multiple regression model: group of answer choices should be excluded if one explanatory variable has negative values. determines the height of the regression line. should be excluded because the population regression function does not go through the origin. is statistically significant if it is larger than 1.96.

Answers

The incorrect statement is "the intercept in the multiple regression model should be excluded if one explanatory variable has negative values".

The intercept, also known as the constant term, represents the value of the dependent variable when all independent variables are equal to zero.

It is a necessary component of the regression equation regardless of the values of the independent variables. Excluding the intercept when one explanatory variable has negative values may result in biased and unreliable estimates.

The intercept does not determine the height of the regression line, but rather its slope and position. The slope represents the change in the dependent variable for a unit change in an independent variable, while the intercept represents the starting point of the regression line on the y-axis.

The intercept should not be excluded because the population regression function does not go through the origin. While some models may have a theoretical justification for excluding the intercept, such as when all independent variables are proportions or percentages that sum to one, it is generally advisable to include it.

The statistical significance of the intercept depends on its estimated value and standard error, as well as the chosen level of significance. A common level of significance is 0.05, which corresponds to a critical value of 1.96 for a two-tailed test.

If the absolute value of the t-statistic for the intercept is larger than 1.96, we can reject the null hypothesis that it is equal to zero at a 5% level of significance.

In summary, excluding the intercept in a multiple regression model based on negative values of an explanatory variable is not recommended, and its significance should be assessed based on its estimated value and standard error.

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find the shaded region of the figure below​

Answers

add all of it i up and divide

What value of n makes the
equation n x 3/4= 3/16 true

Answers

Answer:

1/4

Step-by-step explanation:

Try it if you don't believe me :)

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

n x (3/4) = 3/16

The degree of the equation is one. Then the equation will be a linear equation.

Simplify the equation, then the value of the variable 'n' is calculated as,

n x (3/4) = 3/16

n = (3/16) x (4/3)

n = 4/16

n = 1/4

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

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can y'all help me pls ​

Answers

Answer:

The change in delta x would be 0 in the second option because the change is exactly the same.

answer above^^ what the person said
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Check all that apply.She should involve top-level Mars managers in helping her to announce the change.She should reward those franchise owners that contribute to making the change.She should start small, and work out the benefits of the change, so she can show them to people who might resist the change.She should look at her organization as a whole how will the change affect the existing culture of the organization? QUESTION 28 3 points Save What is the Equity multiplier (EM)? Using EM, explain how increasing the bank capital would have a negative impact on the ROA for equity holders? (3 points) For the toolbar, Suppose you want to sell property that is currently leased to a tenant. The most likely buyer for your property will be an "owner-user." Which of the following statements is true?A. If the property is leased under a tenancy for a stated period, the new owner can immediately require the tenant to vacate the premises.B. If the property is leased under a tenancy at sufferance, the new owner has no right to seek the court's immediate assistance in removing the tenant.C. If the property is leased under a tenancy at will, the new owner can require the tenant to vacate the premises after giving proper notice of termination as required by statute.D. No transaction is legally permissible while the property is leased to a tenant. Question 2: Mr Ratnam is working as an engineer and received annual salary of RM280,000 for the year ended 31 December 2021. His wife, Puan Latha is a clerk with an annual salary of RM80,000. Being a senior management team, Mr Ratnam, received an entertainment allowance of RM1,000 a month. For the year 2021, he also received 2 months bonus for his excellent services to the company. Besides, Mr Ratnam also received the following benefits. Dental and Medical RM1.500 a year A new car worth RM80,000 Fully furnished house, rental RM 3,500 per month including furniture RM500 and a gardener. Parking allowance RM200 The couple has four children. Two of them are doing bachelor program and others are under 18 years old. They decided tax reliefs for their children will be claimed under Mr Ratnam. Mr Ratnam sent his youngest son in kindergarten with a monthly fee of RM400 a month. Mr Ratnam saved RM12,000 in the SSPN scheme for his children. He also contributed RM18,000 in EPF, paid educational insurance premium RM12,000 a year and medical insurance of RM2,000 a month for his children. He also bought life insurance for himself and paid premium of RM6,000 a year. As the only child, Mr Ratnam also taking care of his parents and paid RM9,000 for their medical expenses. In 2021, he bought books and journals worth RM800, a personal computer worth RM3,000 in September 2021 and he paid internet subscription of RM100 per month. He bought a golf set last year worth RM4,000. He also contributed RM400 for SOCSO. Every month, his tax deduction amounted to RM3,500 of his salary. Mr Ratnam went to Pulau Redang with his family in December 2021 and spent RM1,200 for hotel accommodation. Required: Calculate the tax payable for the year of assessment 2021 for Mr. Ratnam on the assumption that the couple file for separate assessment. (15M) Which of the following statements about unemployment is true?A person who is retired and not looking for a job is still considered unemployed.A person who is working part-time but would like to be working full-time is considered to be unemployed.To be officially unemployed, a person has to be in the labor force.A person who is not working is officially unemployed.A person who is a full-time student and not seeking employment is still considered unemployed. Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = -4+2 + 8t + 5 L{f(t)} Weights of 2000 male students follow a normal distribution with a mean of 200 and standard deviation of 20. Find the number of students with weights (1) between 120 and 130 pounds, (ii) at most 250 pounds, fiin between 150 and 175 and (iv) at least 200 pounds A 60-cm-diameter, 480 g beach ball is dropped with a 4.0mg ant riding on the top. The ball experiences air resistance, but the ant does not. Take rhoair =1.2 kg/m3. Part A What is the magnitude of the normal force exerted on the ant when the ball's speed is 2.0 m/s ? Express your answer with the appropriate units. Blocks with masses of 1.0 kg,3.0 kg, and 4.0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 18 N force applied to the How much force does the 3.0 kg block exert on the 4.0 kg block? 1.0 kg block. Express your answer with the appropriate units. X Incorrect; Try Again; 5 attempts remaining Part B How much force does the 3.0 kg block exert on the 1.0 kg block? Which of the following statements is NOT true about epidemiology?Epidemiologic research is a tool that is becoming increasingly popular in human performance measurement.Norm-referenced measurement is fundamental to the type of research questions studied by epidemiologists.Epidemiology is the study of the distribution and determinants of health-related states and events in populations and the applications of this study to the control of health problems.Descriptive epidemiology seeks to describe the frequency and distribution of mortality and morbidity according to time, place, and person. Use branch-and-bound algorithm to find the solution of the following IP model. (Use the graphical method to find the solution/subproblems) max z = 2X2 + 3X2 s.t. 5X1 + 7X, S 35 4X1 + 9x2 < 36 X ,X2 > 0 and X1, X2: integer true/false. negative perceptions of outgroups indeed serve to ensure better access to resources for the ingroup louis owned a piece of land which he purchased in 2018 for $175,000. in 2022 he sold the land to his mother for $160,000 and she hopes to be able to sell it in 2023 for $180,000. how much of a gain or loss can louis recognize on the sale of the property to his mother in 2022?$15,000 recognized loss in 2022$5,000 recognized gain 2022$20,000 recognized gain in 2022no recognized loss in 2022 Yn+1 = Yn + hf(xn. Yn) Y2(x) = Y(x) yes e-JPdx dx y} (x) Y(t)Y2(X) Y(x)Yyz(t) W(t) G(x, t) = Yp - [*"G(x,t}f(t)}dt L{eat f(t)} = F(s a) L{f(t a)U(t a)} = esF(s) L{f(t)U(t a)} = e${f(t + a)} d" L{t(1)} = (1) d, [F(s)] dsn L{8(t-to)} = e-sto Yn+1 = Yn + hf(xn. Yn) Y2(x) = Y(x) yes e-JPdx dx y} (x) Y(t)Y2(X) Y(x)Yyz(t) W(t) G(x, t) = Yp - [*"G(x,t}f(t)}dt L{eat f(t)} = F(s a) L{f(t a)U(t a)} = esF(s) L{f(t)U(t a)} = e${f(t + a)} d" L{t(1)} = (1) d, [F(s)] dsn L{8(t-to)} = e-sto Solve the following IVP using Laplace transform y" - 4y' + 3y = 0, y(0) = 1, y'(0) = 2 If government spending increases and taxes are raised to keep the budget balanced, which of the following is true?A. Two components of aggregate demand will decrease. The AD curve shifts to the left. B. One component of aggregate demand will increase and another will decrease. The AD curve shifts to the right.C. Two components of aggregate demand will increase. The AD curve shifts to the right.D. One component of aggregate demand will increase and another will decrease. The AD curve shifts to the left. During the storming phase of team development, the team has just been created. True FalseFrederick Taylor's goal was to find ways to improve worker motivation by making work more interesting and cha