9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.​

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

To solve this problem, let's write down the data given;

Data;

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

[tex]12 + 8 = 20[/tex]

Let's proceed for the first event

[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]

The probability the second event occurs will be

[tex]P = \frac{7}{20}[/tex]

The probability both events occur will be

[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]

The probability that both events occurs is 14%

Learn more on Probability without replacement here;

https://brainly.com/question/11405286

#SPJ1

The surface area of the right cone with a radius of 3 meters and a slant height of 5 meters is 47.1 m².

What is surface area?

To calculate the surface area of the cone, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The surface area of the right cone is 47.1 m².

Learn more about surface area here: https://brainly.com/question/76387

#SPJ1

Answer:

There is a total of 200 dollars profit

Answer:

i had done this before so thats your answer, pls follow

The diameter of the DVD is 12 units.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. It is the overall area that the object's surface occupies.

As per the given data:

The area of the DVD is equal to 36π cm².

We have to find out the diameter of the DVD.

As we know that a DVD is having a circular shape:

Area for a circle is given by πr², where r is the radius of the circle.

From the given data in the question:

πr² = 36π

r² = 36

r = √36

r = 6 units

The diameter of a circle is double the radius of the circle.

Diameter = 2r = 2 × 6 = 12 units

The diameter of the DVD is 12 units.

Hence, the diameter of the DVD is 12 units.

To learn more about surface area, click:

brainly.com/question/29298005

#SPJ5

Answer:

30 ft.

Step-by-step explanation:

1 + 9 + 20

= 30.

Answer: 30

Step-by-step explanation:

1. Simplify  1+9 to 10

10+20

2. Simplify
30

Done! Hope this helps.

Answer:

Maggie can run faster by 0.85 minutes.

Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.

Step-by-step explanation:

Maggie = can run a mile in 5.2 minutes (1.3/0.25)

Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)

5.2-4.35= 0.85 minutes

The answer is C.

Step-by-step explanation:

I can't explain but I literally just did this question and I got it right

Answer:

Step-by-step explanation:

You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.

__

The x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.

If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)

The horizontal distance from (3, -4) to (x, y) is (x -3).

__

In like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.

For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.

The vertical distance from (3, -4) to (x, y) is (y +4).

__

As the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.

The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)

In particular, the equation created is ...

  (x -3)² +(y +4)² = 7²

_____

Additional comment

For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...

  a² +b² = c²

The sum of the squares of the sides is equal to the square of the hypotenuse.

Answer:

im assuming 24?

Step-by-step explanation:

bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong

Answer:

64+18+z=180

Step-by-step explanation:

z=98, input 98 and it is true

Answer:

Angle 2 = 150°

Step-by-step explanation:

▪︎ Measures of supplementary angles add up to 180°.

Therefore,

Angle 1 + Angle 2 = 180°

Angle 1 = 30°

30° + Angle 2 = 180°

Angle 2 = 180° - 30° = 150°

"every dollar" means P = 1

compounded monthly interest means 12

1(1+(.129/12)^(12(1)) =

in calculator do pemdas

1. .129/12 = 0.01075

2. 0.01075 + 1 = 1.01075

3. (1.01075)^12 = 1.136907156 =

answer = 1.14

Mayfield schools

lcps

1,005.44

Pir^2h

3.142*8*8*5

1,005.44

Answer:

See below ~

Step-by-step explanation:

Blue inequality

Red Inequality

Answer:

See below

Step-by-step explanation:

Find the equation of the blue line....the blue shaded area is LESS than or EQUAL to this SOLID line

Blue line =    y = -x+4        so   y <= -x+4

Red line  =    y = 1/4 x              y > 1/4x     (dotted line says line is not included so the inequality is >   NOT ≥   )

Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.

Step-by-step explanation:

I hope it'll help you...

Answer:

Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.

Step-by-step explanation:

:)

angles in a triangle always equal to 180° so:

1. all the angles are equal to each other

180°÷3=60°

2.

•we know 1 angle, 68°

• straight lines are 180°-> 180°-126°= 54°

180°-68°-54°= 58°

The value of x that yields a slope of 56 is 6.09

The given parameters are:

The slope of two points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]\frac{-1 -4}{6 -x} = 56[/tex]

Evaluate the difference

[tex]\frac{-5}{6 -x} = 56[/tex]

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09

Read more about slope at:

https://brainly.com/question/1884491

#SPJ1

Answer:

F.2:30 a.m.

8 revolutions= 8×90=720mn= 12h

So the sign starts from 2.30p.m.

Then the sign after 8 revolutions is 2.30 a.m.

Please give Brainliest

Answer:

6, 8, 48

Step-by-step explanation:

substitute x = - 1, 0, 5 into k(x)

k(- 1) = (- 1)² + 3(- 1) + 8 = 1 - 3 + 8 = 6

k(0) = 0² + 3(0) + 8 = 0 + 0 + 8 = 8

k(5) = 5² + 3(5) + 8 = 25 + 15 + 8 = 48

[tex]\csc 2x+1[/tex]

Step-by-step explanation:

The probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

The given parameters are:

Fewer digits = 843

Total = 1500

The probability is then calculated as:

P = 843/1500

Evaluate the quotient

P = 0.562

Hence, the probability that there are 843 or fewer amounts with first digit 1, 2, or 3 is 0.562

Read more about probability at:

https://brainly.com/question/251701

#SPJ4

The equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]

The expression is given as:

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2[/tex]

Expand the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27x^3y^{-15}}{(x^{8} y^{-8}})^{-2[/tex]

Apply the law of indices

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27}{(x^{5} y^{7}})^{-2[/tex]

Take the inverse of the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{x^{5} y^{7}}{27})^2[/tex]

Apply the square exponent to the expression

[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = \frac{x^{10} y^{14}}{729}[/tex]

Hence, the equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ4

Answer:A edge 2023

Step-by-step explanation:

Just did it and got it right

Answer:

6 donuts are left in the box

Step-by-step explanation:

12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.

Answer:

Amelias salary increase by $12,000 every year so 12*20 = $240,000 salary in 20th year.

Answer:

[tex]20000 \times 0.15 \times 5 = 15000 \\ 20000+15000=35000

Step-by-step explanation:

20000 times (0.15 is rate) times years (5)

Answer you get is 15000 , then you have to take 20000+15000=35000

Answer:

x=+-√10+3

Step-by-step explanation:

x^2=6x+1

x^2-6x=1

To create a trinomial square on the left side of the equation, find a value that is

equal to the square of half of b

a is the number next to x^2

b is the number next to x

c is the last number

b is -6

half of b is -3

square of half of b is 9

put 9 on both sides of the = sign

x^2-6x+9=1+9

x^2-6x+9=10

(x-3)^2=10

take the square root of both sides of the = sign

√(x-3)^2=√10

x-3=√10

x=+-√10+3

The expected value of the winnings from a game that has the following payout probability distribution is 2.3

In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.

To calculate the expected value ,

we have to multiply each of the given probability by the individual payout value and then add the following answers

So, expected value

=0(0.45) + 2(0.3) + 4(0.1) + 8(0.1) + 10(0.05)

=0+0.6+0.4+0.8+0.5

= $2.3

Hence, the expected value is 2.3

Learn more expected value here:

https://brainly.com/question/24145532

#SPJ1

ACTUAL ANSWER:

3.1

Step-by-step explanation:

0.45(0) + 0.3(4) + 0.1(6) + 0.1(8) + 0.05(10)

= 3.1

Also I checked on on Acellus and it was correct.

Answer:

C. -18

I hope that this helped you.

Answer:

  C.  -18

Step-by-step explanation:

The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.

__

  [tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]

_____

Additional comment

In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.

  = 2(2 -11) = 2(-9) = -18

Answer:

Step-by-step explanation:

(-2-4)/(5-0)= -6/5

y - 4 = -6/5(x - 0)

y - 4 = -6/5x + 0

y = -6/5x + 4