Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red

Answers

Answer 1

Answer:

The answer is "[tex]\bold{\frac{2}{3}}[/tex]".

Step-by-step explanation:

Pick a shirt first: 3 choices

Pick slacks next: 2 choices

Then choose a tie: 1 choice

Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.

These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex].  Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]

To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:

[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]


Related Questions

in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100

250 gramı 3.75 TL olan peynirin 1 kilogramı kaç liradır?​

Answers

Answer:

3.75•4=15 TL dir .......

Mr.Rodriguez has 1/2 cake left from his buthday party. He wants to share it among 4 people What fraction represents how much of the cake each of the 4 people will get

Answers

Answer:

Step-by-step explanation:

There is 1/2 cake left, or .5, or 50%.

.5 divided by 4 equals .125, or 1/8, of 12.5%

In fraction form, each person will receive 1/8 slice of cake.

Hope this helps!

Mark Brainliest plz!

Each of the 4 people will receive 1/8 of the cake.

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week.Elena starts with $10 in her savings account and adds $20 each week.

Answers

Answer:

Andre has more money.

Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)

Answers

Answer:

y=245 * 1.035^t   $487.50

Step-by-step explanation:

y=245*1.035^20

y=245*1.9898

y=487.49827

If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?

Offering 30 points,, please help! will mark brainliest:)

Answers

The solution to the given linear function at f(1) when calculated gives an output value of; 8

How to Solve Linear functions?

We are given the linear function represented by the equation;

f(x) = 7(x - 1) + 8

Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;

f(1) = 7(1 - 1) + 8

f(1) = 8

Thus, the solution is; f(1) = 8

Reda more about Linear Functions at; https://brainly.com/question/4025726

#SPJ2

Find the GCF. (questions shown in photo)

Answers

Given:

(a) [tex]12a^2b^2c, 15a^3b^3c[/tex]

(b) [tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]

To find:

The GCF.

Solution:

(a)

We have,

[tex]12a^2b^2c, 15a^3b^3c[/tex]

The factor forms are

[tex]12a^2b^2c=2\cdot 2\cdot 3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]

[tex]15a^3b^3c=3\cdot 5\cdot a\cdot a\cdot a\cdot b\cdot b\cdot b\cdot c[/tex]

Now,

[tex]GCF=3\cdot a\cdot a\cdot b\cdot b\cdot c[/tex]

[tex]GCF=3a^2b^2c[/tex]

Therefore, the GCF is [tex]3a^2b^2c[/tex].

(b)

We have,

[tex]2^3\cdot 3^2\cdot 7\cdot 11\text{ and }2^2\cdot 3^3\cdot 5\cdot 7[/tex]

GCF is the product of common prime factors with least power.

[tex]GCF=2^2\cdot 3^2\cdot 7[/tex]

Therefore, the GCF is [tex]2^2\cdot 3^2\cdot 7[/tex].

A student scored 80 and 93 on her first two quizzes. Write and solve a compound inequality to find the
possible values for a third quiz score that would give her an average between 85 and 90, inclusive.

Answers

Answer:

I think it would be 87.5 as an average between 85 and 90.

Step-by-step explanation:

(05.06 LC) A person drives her own personal vehicle to work two days of the week. Her commute to and from work is 42 miles a day, and her car averages 28 miles per gallon? How much gasoline is the person conserving a day if she takes the train instead? Group of answer choices 1.5 gallons per day 3.0 gallons per day 4.5 gallons per day 5.5 gallons per day

Answers

Answer:

1.5 gallon per day

Step-by-step explanation:

As given,

Daily miles = 42

Average gasoline used = 28 mil/gallon

Daily use of gasoline = [tex]\frac{Daily mile}{Average gasoline}[/tex]

                                   = [tex]\frac{42}{28}[/tex] = 1.5 gallon /day

∴ we get

she conserve gasoline a day = 1.5 gallon per day

Purple Dog Pet Supply Inc. (PDPS) released its annual results and financial statements. Lucia is reading the summary in the business pages of today's paper. In its annual report this year PDPS reported a net income of $110,000. Last year, the company reported a retained earnings balance of $425,000, whereas this year it increased to $500,000. How much was paid out in dividends this year?

Answers

Answer:

$35,000

Step-by-step explanation:

The computation of the dividend amount is given below:

As we know that

Dividend Paid = Net income - Retained earnings for current year

where,

Retained earnings for current year = This year - last year

= $500,000 - $425,000

= $75,000

Now

Dividend Paid is  

= $110,000 - $75,000

= $35,000

Solve for x. Round to the nearest tenth as needed

Answers

Step-by-step explanation:

by Pythagoras :

H²= B²+ P²

(7+x)²= x²+ 9²

49 + 14x + x² = x²+81

14x = x² -x²+81 - 49

14x = 32

x = 32/14 = 16/7 = 2.28 cm = 2.30 cm

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if its possible, whats -12/3 simplifies

Answers

Answer:

-4

Step-by-step explanation:

Can someone help me. I need to show the box method also can someone show me.

Answers

there's a 3 on the left of the box it got cut out. you jus multiply 3 by 6000, 200, 50, nd 3,, n then add the numbers tht you get in the boxes and if you see my bad handwriting, no you didnt

A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?

Answers

Answer:

Step-by-step explanation:

There are three times as many orange cats as black and white cats,

o = 3(b + w)

two times as many black and white cats as grey cats,

b + w = 2g

three fewer gray cats than white cats,

g = w - 3

three times as many white cats as calico cats,

w = 3L

and five white cats

w = 5

There is a problem with this.

There are 5 white cats.

There are 3 times as many white cats as calico cats.

That means there are 5/3 calico cats.

How can the number of a certain type f cats be a non-whole number?

It seems that the number of white cats must be a multiple of 3, but 5 is not.

Answer:

hi

Step-by-step explanation:

please help me with this for brainliest

Answers

Answer:

23

Step-by-step explanation:

4^2 = 16, 16 + 7 = 13

The answer would be 23

Please help me I posted this before using all my points and now I'm reposting it Bc no one helped me

When Sarah was 6 months old, she was 21 in. tall and her head had a diameter of 4.5 in. Now, at 20
years old, she is 6 ft. 1 in. tall and her head has a diameter of 7.65 in. If Sarah is typical, should a
person at 20 years of age be considered "similar" to herself at 6 months of age? For all parts of the
problem write an equation and solve, showing ALL the work.
a. Find the ratio of height-to-head diameter for Sarah at 6 months old. If the ratio were the
same when she was 20 years old, what diameter would her head have?
b. Find the ratio of height-to-head diameter for Sarah at 20 years old. If the ratio were the
same when she was 6 months old, how tall weld she be at 6 months?
Draw or add images here

C
How close are the two ratios you found in Part (a) and Part (b)?
d. If Sarah were taller or shorter either at 6 months of age or 20 years of age, would this make
her more or less "similar" at those two ages? Explain.

Answers

Answer:

a. ratio of height to head at 6 months old is 21/4.5 =(4.66) (the height is 4.66 times the head)

- if the ratio is the same when she is 20 she would have a head with (6ft 1in =73inches) 73/ 4.66 = 15.67 inches in diameter

b. ratio height to head at 20 yrs old = 73/7.65 = 9.54 (the height is 9.54 times the head)

-she would be about 15.6 * 4.66 = 72.70 inches tall at 20 yrs old if we the ratio at 6 months old

c. in part a ratio is 4.66, in b it is 9.54. it's a big difference

d.if she was taller at 6 months old. her head size will be smaller when she is 20 yrs compare to what we calculate.

the she was shorter at 6 months old. the ratio will be smaller and the head may have been as big as her body

Let me know if it helps, if you can please give brainliest

Determine the value of x below.
30
12
X

Answers

Answer:

138

Step-by-step explanation:

Let 30, 12 and X be the angles of a triangle

The sum of the angles in a triangle is 180degrees

Hence

30+12+X =180

42+X = 180

X = 180-42

X= 138

Hence the value of X is 138

Is it possible to construct a triangle with sides of lengths 40, 8, and 30?

Answers

Answer:

No, the two shorter sides must exceed the longer side.

Step-by-step explanation:

Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?

Answers

Answer: 1 4/5 feet

Step-by-step explanation:

Length of the strip of yellow paper = 9 feet.

Number of streamers that were cut = 5

Length of each streamer will then be:

= Length of the strip of yellow paper = 9 feet / Number of streamers that were cut

= 9 feet / 5

= 1 4/5 feet

An equation is given.

y = 3x + c

Create an equivalent equation by solving for x in terms of y and c.



x = ______________

Answers

x=1/3y-1/3c. hope this helps :)

During a sale, a store offered a 15% discount on a TV that originally sold for $420. After the sale, the discounted price of the TV was marked up by 15%. To the nearest whole number, what percent of the original price was the price after markup?

Answers

Answer:

The price after markup was 98% of the original price.

Step-by-step explanation:

Find the coordinates of a point that is on the line y=2x+4

Answers

Answer:

can it be any coordinates? if so (0,4) (1,6) (2,8) and (3,10) are a couple of coordinates that would be on that line

Step-by-step explanation:

GIVING POINTS AND BRAINLIEST!!!

Answers

Step-by-step explanation:

biggest circle option C, hope it helps radius = 6 inches

How to solve 2(x+7)=-4x+14

Answers

Answer:

distribute the 2 on the left side to become 2(x+7)-->2x+14=-4x+14, add 4x to both sides to become 2x+14+4x=-4x+14+4x-->6x+14=14, subtract 14 from both sides 6x+14-14=14-14-->6x=0 and divide both sides of the equation by 6 to get x alone, 6x/6=0/6-->x=0 so x would equal 0.

Step-by-step explanation:

help please you don’t have to though

Answers

The answer is 31 because 31 is the number that closed to 32
THE ANSWER IS 32 OKjxhdhd

Can anyone please help me this these questions:

1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars

Answers

Answer:

1.

[tex]25\%[/tex]

2.

[tex].04\%[/tex]

3.

[tex]100\%[/tex]

Answer:

1 is 25% because .50 going into 2 00 4 times or 35%

2 is 10% because 02. is 10% of 2.00

4 is 100% because its all of the 2.00

...what's
[tex]({1 + 2 } ) \div( 1 -2)[/tex]

Answers

Answer:

-3

Step-by-step explanation:

(1+2)/(1-2)

= 3/-1

= -3

Answer:

-3

Step-by-step explanation:

(1+2) ÷ (1-2) = 3 ÷ -1 = -3


What is the value of x? Fill in the blanks.

Answer:
25 = ?
? 4x-4

( ? )(4x-4)=(20)( ? )

100x- ? = 600

100x = ?

X= ?


Answers

25 = 30

20 = 4x-4

(25)(4x-4) = (20)(30)

100x - 100 = 600

100x = 600 + 100

100x = 700

x = 7

Hope it helps!

a) Un contador, que audita los libros de un almacén por departamentos, desea confirmar las
cuentas por cobrar, como se muestra en los libros de la empresa.
b) El gobierno desea determinar el nivel de desempleo en cierta ciudad, con base en la
selección del 0,5% de sus habitantes.
c) El Banco de la Republica desea seleccionar una muestra de los bancos comerciales para
analizar los efectos del aumento de la tasa de interés con respecto a los descuentos de
prestamos en los bancos comerciales
d) Un estudiante de Contaduría desea tener una idea aproximada del valor monetario del
automóvil típico que poseen los profesores de su universidad.
e) Se quiere saber el costo de la educación. Uno de los gastos que hace un estudiante es la
compra de sus libros. Se desea conocer el costo de todos los libros comprados este año
por cada estudiante de cierto colegio.
f) Un fabricante de medicamentos desea conocer la proporción de personas cuya hipertensión
(presión alta) puede ser controlada con un nuevo producto fabricado por la compañía.
Al realizar un estudio en 6.000 pacientes hipertensos, se encontró que el 80% de ellos
pudo controlar su presión con el nuevo medicamento.
g) Según una encuesta realizada a 500 adultos mayores de la comuna de Santiago, reveló
que en promedio realizan 6 visitas anuales al consultorio. En vista de los resultados el
ministerio de salud deberá aumentar los recursos en un 10%.

Answers

Answer:

Can I please help you? i need you to translate this to english for my effort

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLY! Given the function:
f(x)=
{6x+5x<0
[6x+10x≥0


Calculate the following values:
f(−1)=


f(0)=


f(2)

Answers

PLEASE HELP WILL GIVE BRAINLY! Given the function:
f(x)=
{6x+5x<0
[6x+10x≥0


Calculate the following values:
f(−1)=


f(0)=


f(2)

Answers

6x + 5x < 0
f(-1) -x<2/11
f(0) false
f(2) false

6x + 10x _>
f(-1) x _>1/8
f(0) True
f(2) True
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