In how many ways can a committee of five be selected from eight students if two particular students are to be included

Answer:

2.5991  <  3.7  <  3.706  <  3.76

Step-by-step explanation:

81 of 270 pages in a book is a part of the situation.

A division is a process of splitting a specific amount into equal parts.

Given,

81 of 270 pages in a book.

Eighty one of two hundred seventy pages in a book.

In the given situation, A book has 270 pages in that we have taken 81 pages which are part of the book.

We have taken pat of the book,

In the given situation, book is whole and 81 is the part.

Hence  81 of 270 pages in a book is a part of the situation.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ1

Answer:

£22.80

Step-by-step explanation:

To work out how much Ross has to pay for his ticket, you first need to calculate how much the 1/3 of the full price is.
To do this, you divide the 34.20 by 3.
34.2 / 3 = 11.4
So Ross gets a discount of £11.40
To work out the price, that Ross has to pay, we substract the discount from the normal price:
34.2 - 11.4 = 22.8
So Ross pays £22.80 for his ticket.

A) Yes it is a function and f(x)=2.80+3.50x so 2.80 is an independent function and 3.50x is dependent function

B) Domain x = (0,20] and Range y = (2.8,72.8]

A dependent function is what?

A dependent function type is one whose outcome depends on the parameters of the function.

Independent function: What is it?

Independent function (plural independent functions) as a noun (mathematics) any one of a group of functions whose value cannot be inferred from the values of all the others.

Given: The expression y = 3.5x + 2.8 calculates the y (in dollars) cost of an x-mile taxi fare. You have enough cash to take a cab for a maximum of 20 kilometres.

Domain and range to find

Solution:

y = 3.5x + 2.8

cost y (in dollars)

miles, in.

You have enough cash to take a cab for a maximum of 20 kilometres.

0 < x ≤ 20

Therefore, x = [0, 20].

Domain x = [0, 20]

y = 3.5x + 2.8

x = 0

=> y = 0 + 2.8 = 2.8

x = 20

=> y = 3.5(20) + 2.8

=> y = 70 + 2.8

=> y = 72.8

2.8 < y ≤ 72.8

y = (2.8 , 72.8 ]

Range = (2.8 , 72.8 ]

Learn More :

Find the domain and range of the function f(x)= √9-x² . OR. Let f ...

brainly.in/question/24822483

Consider this function. f(x) = |x – 4| + 6 If the domain is restricted to

brainly.in/question/23841328

#SPJ13

A data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.

Data set with an outlier:

Therefore, a data point that is outrageously high or wildly low in comparison to the closest data point and the majority of the adjacent coexisting values is referred to as an outlier in the dataset or data graph you're working with.

Know more about the data set here:

https://brainly.com/question/25639778

#SPJ13

The number of shares remaining after the stockbroker buys shares for her customers is 57500

Also, The number of the most important pretty definitely really variable for finding the number of shares the company particularly definitely for all intents and purposes has left in a generally really big way in a fairly big way. Also, The number of shares the company generally really definitely has left after stockbroker's purchase = 95000 - 150×250 = 5750 in a subtle way.

Learn more about shares here

https://brainly.com/question/13219963

#SPJ4

The equation of given graph is y = |x - 3| + 5.

The graph of a absolute or modulus function is a V- shape graph. The function of absolute is f(x) = |x|. The general form of absolute function is f(x)=a |x - h| + k. Where (h,k) is the vertex of graph.

Here, we can see that graph is in the form of V shape, so the function will be absolute function. Now, we have to find the vertex of graph.

As seen from the graph the minimum point on the graph is located at the point (3, 5) and the value of a should be 1.

So, by putting the value of vertex in general equation we get the equation of the graph,

y = |x - 3| + 5

Therefore, the equation of given graph is y = |x - 3| + 5.

To learn more about the Absolute Function visit here:

https://brainly.com/question/25971887

#SPJ1

Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).

In the given question we have a relation between mass of sunfish and time elapsed t. Relation is

M(t) = (67/50) ^(t/6+4) -----(1)

To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.

Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.

dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)

We have the used derivative formula d(a^t)/dt = a^t (1) lna

dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)

dM(t)/dt = (ln(67/50))/6 M(t)

We can see here that mass funtion is increased by factor ln(67/50)/6 each day.

#Complete question:

Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:

M(t)=(1.34)^t/6+4

Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.

To learn more about Derivative, refer :

https://brainly.com/question/12047216

#SPJ4

Distance of Park bench from building is 275 m when  angle of depression  top of the building to a park bench on the ground.

What is the elevation and depression angle?

Angle of depression, θ = 54°

The height, h = 200

The distance of park bench from the building, d is given by

Tan θ = opposite / Adjacent

Tan 54  = d / 200

d = 200 * Tan 54

d =  200 *  1.3764

d = 275.28

D = 275 M

Learn more about Angle of depression

brainly.com/question/13514202

#SPJ13

The probability that 5 hearts are chosen if 8 cards are selected from a well-shuffled deck of 52 playing cards is  0.0156296302.

The number of choosing 8 cards out of 52 is = ⁵²C₈

Number of ways of choosing 5 cards of heart out of 13 cards and 3 out of remaining 39 cards = ¹³C₅ × ³⁹C₃

Probability of choosing 5 hearts =  ¹³C₅ × ³⁹C₃ /  ⁵²C₈

= 1287 ×9139 / 752538156

= 11761893 / 752538156

= 0.0156296302

A basic 52-card deck consists of 13 ranks in each of the four French suits: clubs, diamonds, hearts, and spades. Each card includes three court cards (face cards), King, Queen, and Jack, as well as reversible (double-headed) images. Each card also contains ten numeral cards or pip cards, from one to ten.

To learn more about probability and its theorem,

https://brainly.com/question/11234923

#SPJ4

The value of the square root of 60 subtracted from 17 is D. 9.3

It's important to note that a square root simply means the number that you can multiply by itself in order to get the original number.

In this case, the information given regarding the numbers is illustrate below:

= 17 - ✓60

= 17 - 7.7

= 9.3

Therefore, the value is.9.3

The correct option is D.

Learn more about numbers on:

brainly.com/question/25734188

#SPJ1

Answer: when the value on each side of the equal sign is the same

Step-by-step explanation: for example, 9=9 is a true equation. 5+4 = 9 is a true equation

Answer: (if A=P(1+rt) is your formula)

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.25%/100 = 0.0625 per year.

Solving our equation:

A = 15000(1 + (0.0625 × 7)) = 21562.5

A = $21,562.50

The total amount accrued, principal plus interest, from simple interest on a principal of $15,000.00 at a rate of 6.25% per year for 7 years is $21,562.50.

I would break a ten when I subtract 282-47.

What is a ten?

This is the number after nine. it is a two-digit number. it is written as 10.

What is a hundred?

It is a number after 99. It is a three-digit number. It is written as 100.

What is subtraction?

This simply means taking away a number from another. its mathematical symbol is ( - ).

To subtract 282-47;

   282

-     47

=   235

we need to break a ten i.e ( eight- tens) to get a ten to add to two making it 12. then subtract (12 -7) = 5.

7 is now remaining in the tens column i.e( seven- tens). Then subtract (7-4) =3.

Then bring down the two in the hundreds column.

Therefore, 282-47 =235

Learn more about subtraction from

https://brainly.com/question/16677349

#SPJ1

Answer:

17

Step-by-step explanation:

4x-10=58(alternate interior angles)

4x=68

x=17

The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.

Given that,

That by increasing the sample size, the amount of sampling error will be decreased

Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.

To learn more about Sampling click here:

brainly.com/question/14814065

#SPJ4

Answer: y = -.06x + 0.2

Step-by-step explanation: Find the slope by plugging in the given values to the slope formula to find that the slope is -0.6. Next, determine the y-intercept is b=y1−m⋅x1: b = 2 - (-0.6) ⋅ (-3) = 0.2 Finally, the equation of the line can be written in standard form y= -0.6x + 0.2.

The number of centimeter cubes to be added to make the cuboid is; 30 cubes.

From the given plan, side elevation and front elevation, we can see that the number of cubes needed to make the shape is 18 blocks.

From the front elevation, 12 blocks is required (4 * 3 blocks).

From the side elevation, 6 blocks are required which gives us a total of 18 blocks.

The number of blocks needed to make the given cuboid is;

Volume of cuboid = 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added = Volume cubes - Number of cubes from elevation

The number of cubes to be added = 48 cubes - 18 cubes

The number of cubes to be added = 30 cubes.

Read more about Volume of cuboid at; https://brainly.com/question/27432084

#SPJ1

Answer:

5x+10y

Step-by-step explanation:

to expand we distribute each term with 5

5(x)+5(2y)

5x+10y

Hopes this helps please mark brainliest

Answer: 5x + 10y

Step-by-step explanation:

Re-order terms so constants are on the left

(x+2y)x5

5(x+2y)

Distribute

5(x+2y)

5x+10y

Answer:

The trigonometric functions, sin, cos and tan for an angle are the primary functions. The value for cos 60 degrees and other trigonometry ratios for all the degrees 0°, 30°, 45°, 90°, 180° are generally used in trigonometry equations. These trigonometric values are easy to memorize with the help trigonometry table.

Cos 60 Degree Value

In a right-angled triangle, the cosine of ∠α is a ratio of the length of the adjacent side (base) to the ∠α and its hypotenuse, where ∠α is the angle formed between the adjacent side and the hypotenuse.

Cos 60 Degree value

Cosine α = Adjacent Side / Hypotenuse

Cos α = AC / AB

Cos α = b / h

Now, to find the value of cos 60 degrees, let us consider, an equilateral triangle ABC as given below:

Cos 60 Degree

Here, AB = BC = AC and AD is perpendicular bisecting BC into two equal parts.

As we know, cos B = BD/AB

Let us consider the length of each side as 2 units, such as AB = BC = AC = 2 units and BD = CD = 1 unit.

Therefore, the value of cos 60° = BD/AB = ½

In the same way, we can write the value of sin 60° and tan 60° by evaluating the required sides.

In right triangle ABD, by Pythagoras theorem:

AB2 = AD2+ BD2

22 = AD2 + 12

AD2 = 22 -12

AD2 = 4 – 1

AD2 = 3

AD = √3

Now, we have got all the sides of triangle ABD.

Sin 60° = AD/AB = √3/2

Tan 60° = AD/BD = √3 / 1 = √3

We can also write the value of cos 60 degrees in decimal form as:

cos 60° = 1/2 = 0.5

Also, we can write the values of sine, cosine and tangent with respect to all the degrees in a table.

Let us draw a table with respect to degrees and radians for sine, cosine and tangent functions.

Angle in Degrees 0 30 45 60 90 180 270 360

Angle in Radians 0 π/6 π/4 π/3 π/2 π 3π/2 2π

Sin 0 1/2 1/√2 √3/2 1 0 -1 0

Cos 1 √3/2 1/√2 1/2 0 -1 0 1

Tan 0 1/√3 1 √3 ∞ 0 ∞ 0

Unit Circle in Trigonometry

It is possible to give the values of trigonometric ratios with respect to radians equivalent to degrees, in case of a unit circle, whose radius is equal to one. The radian for a unit circle is denoted by π. In the below figure, the angle values are represented in degrees instead of radians.

Cos 60 Degree graph

You have learned about cos 60 degrees value along with other degree’s values here now. Also, the derived values for sin and tan with respect to degrees and radians. In the same way, we can find the values for other trigonometric ratios like secant, cosecant and cotangent.

Let us see some example where we can use the value of cos 60 degrees.

Example 1: Find the value of cos 60° + sin 30°.

Solution:

cos 60° + sin 30°

= cos 60° + sin (90° – 60°)

= cos 60° + cos 60°

= (1/2) + (1/2)

= (1 + 1)/2

= 2/2

= 1

Alternatively, cos 60° + sin 30° = (1/2) + (1/2) = (1 + 1)/2 = 2/2 = 1

Example 2: Calculate: 2 sin 60° – 4 cos 60°

Solution:

We know that, sin 60° = √3/2 and cos 60° = 1/2

Thus, 2 sin 60° – 4 cos 60° = 2(√3/2) – 4(1/2)

= √3 – 2

therefore it 3/2

Step-by-step explanation: Peace Out.... Have a good day

PLEASE GIVE MARK BRAINIEST I WORK SO HARD IT TOOK  ALL DAY!!!

The values, 1:5, 6:30, 10:50, 11:55 and 18:90, will complete the given ratio table.

According to the question,

We have the following information:

We have a ratio table where two rows from the beginning are given.

In these rows, we have 1:5 and 6:30.

Now, we can easily find that the number in the second column is found by multiplying 5 into the number in the first column.

Now, for the third row, we have the number in the second column,50:

x*5 = 50

x = 50/5

x = 10

Third row: 10 to 50

Fourth row:

Number in the first column = 11

11*5 = 55

11:55

Fifth row:

Number in the first column = 18

18*5 = 90

18:90

Hence, the values, 1:5, 6:30, 10:50, 11:55 and 18:90, will complete the given ratio table.

To know more about ratio here

https://brainly.com/question/1504221

#SPJ1

Answer:

(3, 6)

Step-by-step explanation:

I hope this helps you!

The time it would take for light to travel from Earth to the moon is; 1.28 seconds.

It follows from the task content that the time it would take for light to travel from Earth to the Moon is to be determined.

Since the given speed of light is; 3 × 10⁵ km/s and the distance is; 3.84 × 10⁵ km.

It follows from the formula;

Speed = Distance / Time

Time = Distance/Speed

Time = 3.84 × 10⁵ / 3 × 3.10⁵

Time = 1.28 seconds.

Therefore, the required time it would take to travel from Earth to the moon is; 1.28 seconds.

Read more on speed formula;

https://brainly.com/question/3004254

#SPJ1

Answer:

Step-by-step explanation:

Move 6a to the other side

Subtract 7a and 6a

use inverse operations. So add 3 on both sides

Answer:

a = 6

Step-by-step explanation:

The given equation is,

→ 7a - 3 = 3 + 6a

Now the value of a will be,

→ 7a - 3 = 3 + 6a

→ 7a - 6a = 3 + 3

→ a = 3 + 3

→ [ a = 6 ]

Hence, the value of a is 6.

The two triangles are congruent and they are congruent by ASA.

Triangles are congruent when they have exactly the same three sides and exactly the same three angles. This simply implies the corresponding sides and angles of the triangles are congruent.

Let's check if the triangles are congruent.

One of the congruent angles in the triangles are vertically opposite angle.

Recall vertically opposite angles are congruent.

In these two triangles, we have a congruent angle pair and a congruent side pair.

Therefore, we can say the triangles are congruent by ASA.

learn more on congruent triangle here: brainly.com/question/7510168

#SPJ1

Answer:

Step-by-step explanation:           The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

The length of one of the legs of the triangle is 65 units.

An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.

First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.

Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.

x² = (16)² + (126/2)²

x = √(256 + 3,969)

x = √4,225

x = 65

Hence, the length of one of the legs of the triangle is 65 units.

To learn more about triangles, visit :

https://brainly.com/question/2773823

#SPJ4