40 employees in an office wear eyeglasses. 22 have single-vision correction, and 18 wear bifocals. If two employees are selected at random from this group, what is the probability that both wear bifocals? What is the probability that both have single-vision correction?
Round your answers to four decimal places

Answers

Answer 1

Step-by-step explanation:

The number of way to select 2 employees from 40 is 40C2.

The number of way to select 2 employees from 22 is 22C2.

So the probability of the two employees having single-vision correction is just the number of ways to select the 22 employees (22C2) divided by the total number of ways to select 2 employees (40C2).

22C2 / 40C2 = 77/260

We can use the same technique for the bifocal employees.

18C2 / 40C2 = 51/260


Related Questions

how is 3×3×3×3×3×3×3 written in exponential form​

Answers

Answer:

7

Step-by-step explanation:

3 * 3 * 3 * 3 * 3 * 3 * 3 = [tex]3^{7}[/tex]

Answer:

3×3×3×3×3×3×3 is

Step-by-step explanation:

3 multiplied by itself 7 times will give you 3 to the 7th power.

What is the unit rate for this?
Time: 1, 2, 3, 4
Amount: 0.6, 1.2, 1.8, 2.4

Answers

Answer:

1:0.6

Step-by-step explanation:

What is 3/5 × 6/5? Move numbers to the boxes to show the answer. If there is no whole number, put in the first box

Answers

Answer:

18/25

Step-by-step explanation:


You buy a cell phone plan that gives you up to 1000 minutes of calling for $20 per month. During a particular month, you use only 100 minutes. What is your per-minute cost for that
month?

Answers

Answer:

20 cents

Step-by-step explanation:

Hello Cassidy,
To solve this problem, you could use a proportion to solve for your question. I have attached the work as well. On the top of your fractions, can be the money. On the bottom is the minutes. Note: these can be interchangeable, as long as all your numeric values (numbers) and variables are in the right place. Then cross-multiply. Solve the equation for your answer (money for minutes). I used the variable m, as I find it helps if it relates to your problem. M is for money. Hope this helps!

9(2,-3)-5(+8)
FAST LOLOLOL

Answers

Answer:

9(2-3) -5(8)= -49

it must helps you...mark me as brainliest pls

I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!

Answers

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

What is 5x5 cause I don’t know what it is

Answers

Answer:

25

Step-by-step explanation:

5 + 5 + 5 + 5 + 5 = 25

Answer:

25

Step-by-step explanation:

that the answer pick me brainliest plz

What is 120% of 180?

Answers

The answer is 66.7. I hope this is right

Step-by-step explanation:

[tex] \tt{120 \: \% \: of \: 180}[/tex]

Convert % to fraction. For that , Divide 120 by 100 :

⇢ [tex] \tt{ \frac{120}{100} \times 180 }[/tex]

Calculate

⇢ [tex] \tt{216}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{216}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

In Exercises 3 and 4, find the values of x and y
plz help!!!

Answers

Answer:

x = 20°

y = 30

Step-by-step explanation:

The triangle given on close inspection, it is an equilateral triangle.

Each angle in an equilateral triangle is equal. Likewise, each side is equal.

Thus;

16 + y = 46

y = 46 - 16

y = 30

The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.

Thus, the smaller angle there is;

180 - (80 + 60) = 40°

Because sum of angles in a triangle is 180°

Now, x + 40 = 60°

Since that's also an angle of an equilateral triangle.

x = 60 - 40

x = 20°

The value of length y is 30 and the value of angle x is 20 degrees and this can be determined by using the properties of an equilateral triangle.

Given :

The triangle ABC is given in the figure.

In an equilateral triangle, all angles are equal and therefore, each side is equal.

16 + y = 46

y = 46 - 16

y = 30

An angle in the triangle is given that is 80 degrees and angle C is 60 degrees because it is an angle of an equilateral triangle.

Applying sum of interior angles property:

80 + 60 + (60 - x) = 180

200 - x = 180

x = [tex]20^\circ[/tex]

For more information, refer to the link given below:

https://brainly.com/question/19237987

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?

Answers

Answer:

3

Step-by-step explanation:

3 is the answer to this question

Help ASAP I’ll mark brainliest

Answers

Answer:

a

Step-by-step explanation:

a is positive

b is idek just scattered

c is a scattered correlation aswell

d is a negative correlation

Find the slope of the line passing through each of the following pairs of points (0,7), (0,-8)

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is unidentified

Step-by-step explanation:

I checked ;)

What is the domain and range of the relation?

Answers

Answer:

I think option c is answer

Is it c or b right now ok

Escribe el término "punto, línea, plano o superficie" según corresponda a la descripción a la que se hace referencia.


La pantalla de un cine.

Una cuerda tensa.

La punta de un lápiz

Una hoja de papel

La antena de un automóvil

La marca en la piel después de aplicar una vacuna

Un campo de fútbol

El doblez de un folder

La percepción de una estrella en el cielo

El cristal de una ventana

Answers

Punto:

La punta de un lápiz.

Línea:

Una cuerda tensa.La antena de un automóvil.

Plano:

La pantalla de un cine.Una hoja de papel.El cristal de una ventana.

Superficie:

La marca en la piel después de aplicar una vacuna.Un campo de fútbol.El doblez de un folder.

Geometría

El punto es una entidad que tiene una posición, pero no tiene dimensiones (largo, ancho o alto). Por lo tanto, es de dimensión cero, es decir, adimensional. Contiene el significado de lugar, de existencia, pero no tiene elementos mensurables, es decir, no se puede medir.

En contextos geométricos, una línea es un cuerpo unidimensional de forma y longitud arbitrarias. Todos los objetos unidimensionales, como cuerdas, líneas rectas, mitades y perímetros, son líneas. Se cree que una línea se forma cuando un punto de dimensión cero se mueve en el espacio y forma una línea infinita de múltiples puntos.

Intuitivamente, el concepto de plano se puede describir como una superficie perfectamente recta (es decir, sin curvatura ni cavidad) y lisa, que tiene volumen cero y ocupa solo las dos dimensiones del espacio tridimensional.

La superficie de un objeto se refiere a una superficie bidimensional, que separa el objeto de otros objetos y del entorno. En topología, la superficie es una dimensión bidimensional.

Aprenda más sobre geometría en https://brainly.com/question/4637858

find a and round to the nearest tenth. please help it’s geometry (only answer if you know) :(

Answers

Answer:

54cm

Step-by-step explanation:

because a trangle is half of a square so you have to mutiple by 2 so 27 * 2 = 54 :)

Jesse bought 5.2 kilograms of grapes for AED 7.75. How much would 1 kilogram of grapes cos

Answers

Answer:

The cost of 1 kg is AED1.49

Step-by-step explanation:

Given

[tex]Cost = AED7.75[/tex]

[tex]Weight = 5.2kg[/tex]

Required

Determine the cost of 1 kg grape

To do this, we simply divide the cost of 5.2kg by 5.2kg.

i.e.

[tex]Unit\ Cost = \frac{AED7.75}{5.2kg}[/tex]

[tex]Unit\ Cost = AED1.49/kg[/tex] -- approximated

So, the cost of 1 kg is AED1.49

Show work and answer .............

Answers

Answer:

1. 5

2. 5

3. -3

4.y= -1

5. 5

Step-by-step explanation:

1.)x- 2y= -25 ; y=3x

x-2(3x)=(-25)

x-6x=(-25) ; -5x=(-25) ; x=5

2.) 5x+3y =40; x=y

8y=40; y=5

3.) 4x-3y= -27; x=3y

4(3y)-3y= -27; 12y-3y=-27; 9y=-27; y=-3

4.)x-y=9; x=-8y; -8y-y=9; -9y=9; y=-1

5.) 2x+2y=30; y=2x ; 2x+2(2x)=30; 6x=30; x=5

What is the mode of 3, 3, 4, 5, 10?

Answers

Answer:

3

Step-by-step explanation:

The mode is the number that occurs most frequently in a set of numbers

Also:

I saw that this is your first question. Welcome to the Brainly community.

The mode of the data set 3, 3, 4, 5, 10 is 3

What is mode?"It the value that appears most frequently in a data set.""A data set may have one mode, more than one mode, or no mode at all."

For given question,

We have been given a set of data.

3, 3, 4, 5, 10

The frequency of each value in the data set is:

Value        Frequency

  3                   2

  4                   1

  5                   1

  10                  1

We can observe that, 3 appears most frequently in a data set.

Therefore, the mode of the data set 3, 3, 4, 5, 10 is 3

Learn more about the mode of the data set here:

https://brainly.com/question/6813742

#SPJ2

The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the order is unimportant and the mega number need not be different from the other numbers). (11) What is the probability of all five numbers and the mega number matching the winning numbers

Answers

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

[tex]T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939[/tex]

Probability:

[tex]p_{S} = \frac{1}{1533939}[/tex]

Probability of the mega number matching:

1 from a set of 27. So

[tex]p_M = \frac{1}{27}[/tex]

Probability of both matching:

Independent events, so we multiply the probabilities:

[tex]p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}[/tex]

1/41416353 probability of all five numbers and the mega number matching the winning numbers

You sign up for 13 weeks of swim lessons. The total cost is $325. What is the cost per week? PLEASE ANSWER HERRRYYYY!!!!!

Answers

Answer:

you would divide

Step-by-step explanation:

325 ÷ 13= $25 a week

I hope this helped

Answer:

325 divided by 13 = 25

Step-by-step explanation:

Kate has some dimes and quarters. If she has 23 coins worth a total of $3.50, how many of each type of coin does she have?

Answers

23=d+q, d=23-q

350=10d+25q, using d from above

350=10(23-q)+25q

350=230-10q+25q

120=15q

q=120/15

q=8, and since d=23-q

d=23-8=15

So there are 15 dimes and 8 quarters

Choose the graph that solves this system of equations.
y = 2x - 6
y = -4x + 3

Answers

The correct answer is Option C

The Option C is correct.

System of equations:

Given equations are,

             [tex]y = 2x - 6\\\\y= -4x + 3[/tex]

When we draw the graph of both equation of line.

Then these lines intersect at a point [tex](1.5,-3)[/tex].

So that option C is correct.

The correct graph is attached below.

Learn more about the system of equations here:

https://brainly.com/question/13729904

Kaylee invested $830 in an account paying an interest rate of 6.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,260?

Answers

Answer:

t≈6

Plug values into A=P(1+r/n)^nt

What ate all of the x-intercepts of the continuous function in the table?

Answers

Answer: (-4,0) and (4,0)

Step-by-step explanation:

Just look where the zeros are in the y (fx) column that corespont the the x.

The statement "one-eighth the age, a" can be expressed algebraically as ?

Answers

Answer:

1/8a

Step-by-step explanation:

if log x (8x-3) - logx 4=2 the value of x is ___ and ____


the answer is not 1/2 and 3/2. I've already tried that and it is wrong.

Answers

x=1/2 and 3/2 do on paper. Have you tried entering them as 0.5 and 1.5?.

Please help i no not know

Answers

Step-by-step explanation:

total is 180* subtract 180by 149 u get x   180-149=31*

x = 31 degrees since

Which of the following best describes why the Hours of Service Regulations were put into place?
To minimize the number of vehicles on the road at night
To reduce the number of accidents caused by fatigue
To protect the rights of shippers

Answers

Answer:

To reduce the number of accidents caused by fatigue

Step-by-step explanation:

I don't know if its right

What is the midpoint of the segment with endpoints (-1,6) and (0,7)

Answers

Answer:

( -0.5 , 6.5 )

Step-by-step explanation:

Solve the Antiderivative ​

Answers

Answer:

[tex] \sqrt{2} \sin \: x + c[/tex]

Step-by-step explanation:

[tex] \int \sqrt{1 + \cos(2x)} \: \: dx \\ \\ = \int \sqrt{1 + 2\cos ^{2}x - 1 } \: \: dx \\ \\ = \int \sqrt{ 2\cos ^{2}x } \: \: dx \\ \\ = \int \sqrt{ 2 }\cos x \: \: dx \\ \\ = \sqrt{ 2 }\int \cos x \: \: dx \\ \\ = \sqrt{2} \sin \: x + c[/tex]

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