What number is 5% of 20?

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

To learn more about probability:

https://brainly.com/question/24756209

https://brainly.com/question/13604758

#SPJ4

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer: 45 students

Step-by-step explanation:

Company A’s charge can be represented by: 4s+60

Company B’s charge can be represented by: 2s+150

s is the charge per student

To find the cost at which they are the same, I will set both equations equal to each other.

4s+60=2s+150

-2s -2s

2s+60=150

-60 -60

2s=90 Divide both sides by 2

s=45

So when 45 students are going, the cost for both companies are the same.

The function A is a linear function.

The function B is not a linear function.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A.

The coordinates:

(0, 1), (1, 0), (2, -1), (3, -2), (4, -1)

The rate of change of a linear function between any two points is the same.

Rate of change:

= (0 - 1) / (1 - 0) = -1/1 = -1

= (-1 - 0) / (2 - 1) = -1/1 = -1

= (-2 + 1) / (3 - 2) = -1/1 = -1

The function A is a linear function.

Function B.

The linear function graph is a straight line.

Function B graph is not a straight line.

Thus,

Function A is a linear function but function B is not a linear function.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Ms. Turner's net worth can be calculated by adding up all of her assets (car, cash, investments, furniture & appliances) and then subtracting all of her liabilities (auto loan, student loans, personal loan, credit card debt).

Net worth = (Car + Cash + Investments + Furniture & Appliances) - (Auto Loan + Student Loans + Personal Loan + Credit Card Debt)
Net worth = ($13,950 + $4,700 + $15,750 + $7,250) - ($6,200 + $17,450 + $1,200 + $180)
Net worth = $41,650 - $25,030
Net worth = $16,620
Therefore, the answer is B) $16,620.
Based on the information provided in the statement, we can calculate Ms. Turner's net worth by adding her assets and subtracting her liabilities.
Net Worth = (Car value + Cash + Furniture & Appliances + Investments) - (Auto Loan + Student Loans + Personal Loan + Credit Card Debt)
Net Worth = ($13,950 + $4,700 + $7,250 + $15,750) - ($6,200 + $17,450 + $1,200 + $180)
Net Worth = $41,650 - $25,030
Net Worth = $16,620
So, Ms. Turner's net worth is B) $16,620.

To know more about net worth visit:-

https://brainly.com/question/12294231

#SPJ11

However, there is still a 5% chance that the true value falls outside this range.

Therefore, it is important to keep in mind the margin of error and the level of confidence when interpreting the results of a survey or experiment.

A Harris poll of a random sample of 2,113 adults in the United States in October 2010 reported the proportion of people who believe that stem cell research has merit. The confidence interval represented on the number line below is used to answer the following questions.

As per the given number line, the confidence interval is between 60% and 66%.The confidence interval represents the range of values within which the true population parameter (in this case, the proportion of people who believe in stem cell research) is likely to fall. The level of confidence is the degree of certainty that the true value falls within that range, and it is usually expressed as a percentage.In this case, the confidence interval represents a range of values between 60% and 66%, with a 95% level of confidence.

This means that we can be 95% confident that the true proportion of people who believe in stem cell research falls within this range.In other words, the sample results are a good estimate of the true population proportion, and we can be reasonably certain that the true value falls within the confidence interval.

for such more questions on random sample

https://brainly.com/question/24466382

#SPJ11

Answer:

3/13. There are 4 aces in the pack so probability of the second draw being an ace = 4/51.

Step-by-step explanation:

Using proportion, the equivalent units of the following units rounded to the nearest hundredth are as follows:

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

cross multiply

weight(kg) = 40.82328 = 40.82 kg

learn more on proportion here; brainly.com/question/14063625

#SPJ1

Answer:

About 20000 will be the answer.

Step-by-step explanation:

First, do 15% of 7000

then multiply the answer with 12.

then add the answer with 7000.

After your answer comes see the nearest whole number. Hence your answer came.

Try it. Hope it helps.

Answer:

-8

Step-by-step explanation:

Hi there! :)

-10+2=-8

Hope this helps!

~Just a determined gal

#CarryOnLearning

Please mark brainliest; I would really appreciate that! :)

\(MysteriousNature :)\)

In the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.

In the factored form of the trinomial 2x^2 + 4xy - 48y^2 = 2(x - by)(x - 4y), the value of the coefficient b can be determined by comparing the factors of the trinomial with the factored form.

We see that in the factored form, the binomial (x - by) represents the first term and the binomial (x - 4y) represents the last term. The coefficient b corresponds to the term involving both x and y, which is the middle term 4xy in the original trinomial.

Comparing the middle term of the original trinomial (4xy) with the factored form, we can deduce that the coefficient b is equal to 4.

Therefore, in the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.

Learn more about coefficient here

https://brainly.com/question/1767223

#SPJ11

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Answer:

The length and width that maximize the area are:

W = 2*√8

L = 2*√8

Step-by-step explanation:

We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.

Remember that the area of a rectangle of length L  and width W, is:

A = L*W

You can see the image below to see how i will define the length and the width:

L = 2*x'

W = 2*y'

Where we have the relation:

4 = √(x'^2 + y'^2)

16 = x'^2 + y'^2

Now we can isolate one of the variables, for example, x'

16 - y'^2 = x^'2

√(16 - y'^2) = x'

Then we can write:

W = 2*y'

L = 2*√(16 - y'^2)

Then the area equation is:

A = 2*y'*2*√(16 - y'^2)

A = 4*y'*√(16 - y'^2)

If A > 1, like in our case, maximizing A is the same as maximizing A^2

Then if que square both sides:

A^2 = (4*y'*√(16 - y'^2))^2

      = 16*(y'^2)*(16 - y'^2)

      = 16*(y'^2)*16 - 16*y'^4

      = 256*(y'^2) - 16*y'^4

Now we can define:

u = y'^2

then the equation that we want to maximize is:

f(u) = 256*u - 16*u^2

to find the maximum, we need to evaluate in the zero of the derivative:

f'(u) = 256 - 2*16*u = 0

      u = -256/(-2*16) = 8

Then we have:

u = y'^2 = 8

solving for y'

y' = √8

And we know that:

x' = √(16 - y'^2) = √(16 - (√8)^2) = √8

And the dimensions was:

W = 2*y' = 2*√8

L = 2*y' = 2*√8

These are the dimensions that maximize the area.

The linear and nonlinear Green-Lagrange strains can be determined by calculating the derivatives of the displacement field.

To determine the linear and nonlinear Green-Lagrange strains, we need to calculate the derivatives of the displacement field with respect to the spatial coordinates. The Green-Lagrange strain tensor represents the infinitesimal deformation experienced by a material point in a body.

The linear Green-Lagrange strain tensor is obtained by taking the symmetric part of the displacement gradient tensor, while the nonlinear Green-Lagrange strain tensor involves additional terms resulting from the nonlinearity of the displacement field.

By differentiating the given displacement field expression with respect to the spatial coordinates, we can obtain the necessary derivatives and calculate both the linear and nonlinear Green-Lagrange strains. The linear and nonlinear Green-Lagrange strains can be found by calculating the derivatives of the displacement field with respect to the spatial coordinates.

Learn more about displacement

brainly.com/question/30087445

#SPJ11

Answer:

Stan needs about 50 of the 39 cm x 39 cm tiles

or about 155 of the 18 cm x 27 cm tiles

Step-by-step explanation:

Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:

Patio area = 3 m x 2.5 m = 7.5 m^2

Now we consider what surface (in square meters - m^2) each type of tiles cover:

a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2

b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2

Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:

7.5 m^2 / 0.1521 m^2 = 49.3096  (about 50 tiles)

while for type "b" tiles the quotient gives:

7.5 m^2 / 0.0486 m^2 = 154.32  (about 155 tiles)

A theorem which is used to find the rational solutions of a polynomial equation is known as the rational root theorem.

A polynomial expression is given and after solving them we get the two values known as the roots of the function.

These are also known as the zeros of polynomial as after putting these values in the equation we get the result as 0 .

We should use the rational root theorem only when the value of coefficients are small.

The theorem states that each rational solution x = p ⁄ q, when on simplified satisfies the below mentioned points,

p is an integer factor of the constant term a0, and

q is an integer factor of the leading coefficient an.

Read more on rational root theorem

brainly.com/question/10937559

#SPJ4

Answer:

The. second one i think because proportion is amount to somthing elese

Answer:

5ft

Step-by-step explanation:

This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.

Answer:

x = 5

Step-by-step explanation:

6/10 = 3/x

cross multiply to get 30 ( 3x10 )

then divide by 6

to get the end answer of 5

hipe this makes sense

Answer:

C

Step-by-step explanation:

First, you have to find the fraction for yellow. To do that, combine the other fractions by converting them to all have a denominator of 12. Once you do this, you know that yellow is 1/4, making the answer 48.

Answer: C. 48

Step-by-step explanation: Because Imm smart, Also can you give me brainliest it will help much appreciated

Answer: 50 ft

Step-by-step explanation:

The correct function is h(t)=-16t^2+200t+50.

Hi, to answer this question we simply have to replace t =0 in the function given:

h(t)=-16t^2+200t+50.

h (0) = -16t^2+200t+50.

h(0) = 50

When the time is 0, the rocket is at the top of the building.

The rocket was launched from a 50 ft height.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

(5x+3)(x-1)

Step-by-step explanation:

Answer:

-3 x^a y^(b + f) z^(c + g)

Step-by-step explanation:

Hope this will help

C. (3,2)

Hope this helps!

Answer:

2,789ft

Step-by-step explanation:

The set up will give a right angled triangle.

The altitude will be the opposite side = 1600 ft

The angle of depression = 35°

approximate direct distance to the stadium is the hypotenuse of the trisngle= x

Using the SOH trig identity to get the distance

sin 35 = opp/hyp

sin 35 = 1600/x

x = 1600/sin35

x = 1600/0.5736

x = 2,789.4ft

Hence mai’s approximate direct distance to the stadium is 2,789ft

G(f(10))

First solve f(x) by replacing x with 10:

F(x) = x-4 = 10-4 = 6

Now replace x in g(x) with 6

G(x) = 6-x = 6-6 = 0

So g(f(10)) = 0

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

\(m\) - slope

\(b\) - y-intercept

\(11)\ m=-1,\ b=2\\\\y=-x+2\\\\12)\ m=-\dfrac{3}{2},\ b=3\\\\y=-\dfrac{3}{2}x+3\\\\13)\ m=3,\ y=-2\\\\y=3x-2\\\\14)\ y=\dfrac{3}{4},\ b=1\\\\y=\dfrac{3}{4}x+1\\\\15)\ m=\dfrac{1}{2},\ b=1\\\\y=\dfrac{1}{2}x+1\\\\16)\ m=-\dfrac{2}{5},\ b=0\\\\y=-\dfrac{2}{5}x\\\\17)\ m=-7,\ b=2\\\\y=-7x+2\\\\18)\ m=\dfrac{4}{3},\ b=-4\\\\y=\dfrac{4}{3}x-4\)

19) and 20) you have in other your question.

Answer:

b) 5 (1)/(2) cm

Step-by-step explanation:

Answer:

3t-10

Step-by-step explanation:

g(h(t))=g(t-4)

=3(t-4)+2

=3t-12+2

=3t-10