Mathematics High School

An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is

Answers

Answer 1

Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

Related Questions

The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day

Answers

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

What is the value of x in the equation - 3X+9
x+9= 3-37?​

Answers

3x+9x+9=3-37.
3x+9x=12x+9
3-37=-34
12x+9=-34
Cancel 9 out
12x=-43
Divide by 12
X=-3.5

Simplify (x^4y)^3.
x^12y^3
x^4y^3
x^7y^3

Answers

Answer: Choice A,  x^12y^3

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

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

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This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

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A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Please help with these questions :(

Answers

In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.

17^2-8^2 = 289 - 64 = 225 = 15^2.

Therefore, the answer to first question is yes

Then, for question 2, you do the same thing.

41^2 - 40^2 = 51

Here, 51 is not a square number. Most importantly it is not the square of9,

So this triangle is not right angled

What is the surface area of the cylinder

Answers

Answer:

T. S. A. =2πrh+2πr2

V=Bh

V = Base×h

V= (lw) × h

V= lwh

ANSWER:
The surface area is of two types LSA/CSA and TSA-lateral surface area/curved surface area which is excluding top and bottom.And Total surface area.
Formula=2*3.14*r*h
*3.14 is pie
TSA=2*3.14*r(h+r)
*3.14=pie,r=radius,h=height
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!!


Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest

Answers

Answer:

[tex]y = -\frac{1}{4} x + 2[/tex]

Step-by-step explanation:

write a rule for the nth term of the sequence 15, 19, 23, 27

Answers

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)

Answers

Answer:

The length is 7 and the width is 4

Step-by-step explanation:

l = length

w = l-3

P =2( l+w)

22 = 2( l+ l-3)

Combine like terms

22 = 2(2l-3)

Divide each side by 2

22/2 = 2/2 (2l-3)

11 = 2l-3

Add 3 to each  side

11+3 = 2l-3+3

14 = 2l

Divide each side by 2

14/2 =2l/2

7 = l

Now find w

w = l-3

w = 7-3 = 4

Answer: length = 7 cm

Width = 4 cm

Step-by-step explanation:

Perimeter = 2 (l + w)

22 = 2 ( l + l-3)

22=2 (2l - 3)

22=4l - 6

22+6 = 4l

4l = 28/4

l = 28/1 = 7 = length

Width = 7-3 = 4

AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP

Answers

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°


A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.

Answers

Answer: 44 possible outcomes

Step-by-step explanation:

Multiply the number of games by the number of outcomes to find how many possibilities.

22 games * 2 outcomes = 44 possibilities

Interpreting the situation, it is found that there are 23 possible outcomes for the season record.

For each game, there are two possible outcomes.

Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.

In this problem, there are 22 games, hence 23 possible outcomes.

A similar problem is given at https://brainly.com/question/18599661

3. Shenker has 45 CDs.
He gives 10 CDs to his brother.
a) Write an equation you can solve to find how many CDs
Shenker has left.
b) Solve the equation.

Answers

Answer: The equation is 45-10=x the answer is 35

Step-by-step explanation: To make the equation you need to have and = sign so, we can do what he has (45) and subtract what he gives away (10) which would equal what he has left (x)

Answer:

45 (initial amount) - 10 (given to brother) = x (number of cd's left)

Equation:

    45 - 10 = x

Answer:

    35 CDs

What is the probability of rolling a die and it landing on a number less than 3?

Answers

Answer:

2/6 (33.33%)

Step-by-step explanation:

Answer:

The answer would be 1/3

Step-by-step explanation:

There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.

Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.

Answers

Answer:

Q1: n*m

Q2: A = 3x+6

Step-by-step explanation:

Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):

[tex]T = n*m=nm[/tex]

Q2: The area of a rectangle is given by the product of its height by its length:

[tex]A = (x+2)*3\\A=3x+6[/tex]

The area of this rectangle is given by the expression A = 3x+6.

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