A man just bought 2 suits, 9 shirts, and 11 ties. All of these suits, shirts, and ties coordinate with each other. If he is to randomly select one suit, one shirt, and one tie to wear on a certain day, how many different outcomes (selections) are possible

Answers

Answer 1

Answer: 198 ways

Step-by-step explanation:

Given

A man has 2 suit, 9 shirts, and 11 ties available to select one suit, one shirt, and one tie.

No of ways of selecting 1 suit out of 2 is [tex]^2C_1[/tex]

No of ways of selecting 1 shirt out of 9 are [tex]^9C_1[/tex]

No of ways of selecting 1 tie out of 11 are [tex]^{11}C_1[/tex]

total no of ways of required ways are

[tex]\Rightarrow ^2C_1\times 9C_1\times ^{11}C_1=2\times 9\times 11\\\Rightarrow 198[/tex]


Related Questions

Given to
BE
EC
Prove: AB || DE
A
D
3
C
1
2
E
B
Complete the steps of the proof.

Answers

Answer:

Step-by-step explanation:

Given:

[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]

To Prove:

AB║DE

Solution:

Since, corresponding sides of ΔACB and ΔDCE are proportional,

[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]

Both the triangles will be similar.

ΔACB ~ ΔDCE [By SAS property of similarity]

Therefore, ∠1 ≅ 2 [CPCTC]

Since, ∠1 and ∠2 are the corresponding angles

Therefore, AB║DE [Converse of corresponding angles theorem]

Find y given that x = –4: y = –4x – 6

Answers

Answer:

y=10

Step-by-step explanation:

Substitute -4 in place of x

y = -4*-4-6

y=10

Y=10
Y=-4(-4)-6
You just plug x in with parentheses

50 POINTS
What is the correct reason for statement 3?

Answers

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

Where is the picture

Step-by-step explanation:

Find the least common multiple (LCM) of 9 and 11. A. 10 B. 18 C. 99 D. 110

Answers

Answer:

99

Step-by-step explanation:

since there is no common number which divides both 9 and 11 so just multiply them.

The answer to your question is 99

PLEASSE HELP QUICKLY

Answers

Answer:

x  = 73

Step-by-step explanation:

A circle is 360 degrees

4x-5 + x = 360 degrees

5x - 5 = 360 degrees

5x = 365 degrees

Divide by 5

5x/5 = 365/5

x =73

73 is the correct answer

Sasha sold "c" corndogs for $4 each and "p" bags of popcorn for $3. Sasha
made a total of $500. Write the equation that represents this situation.

Answers

Answer:

$500=$4c × $3p

because $4 each is 4 times c. and the same for the popcorn

Answer:

agree with answer above

$4c + $3p = $500

Find the length of the unknown side.
25 cm
15 cm

Answers

Answer:

b = 20 cm.

Step-by-step explanation:

Define and explain:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.

Solve:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-hypotenuse[/tex]

[tex]15^2+b^2=25^2[/tex]

[tex]225+b^2=625[/tex]

[tex]625-225=400[/tex]

[tex]b^2=400[/tex]

[tex]b=20[/tex]

Conclude:

Therefore, the length of the unknown side is 20 centimeters.

How did u get 4/3. Because I’m confused

Answers

What’s the original question and I can help!




PLS DUE RN



WILL GIVE




BRAINLIST

Answers

Answer:

Percent Decimal Fraction

331/3% 0.333. ..1/3

Kyra has 850 beads to make a necklace for her friends. Each necklace will use 90 beads. How many necklaces will she be able to make

Answers

Answer:

9 necklaces with 40 extra beads

Answer:

Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.

Step-by-step explanation:

850/90= 9 r40

The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim. a. Which form of the hypotheses should be used to test the manager's claim? H 0: less than or equal to $600 H a: greater than $600 b. When H 0 cannot be rejected, can we conclude that the manager's claim is wrong? No c. When H 0 can be rejected, can we conclude that the manager's claim is wrong? Yes

Answers

Answer:

H0 : μ ≤ 600

H1 : μ > 600

B.) NO

C.) YES

Step-by-step explanation:

Here, the null hypothesis is the claim, that mean guest bill is $600 or less ; The alternative will be the opposite of the null which is the counterclaim. This ubstge accountants assertion that guest bill has been increasing

Hence,

H0 : μ ≤ 600

H1 : μ > 600

When the null cannot be rejected, that means there is no sufficient evidence to support the alternative hypothesis, Hence, we stick with the manager's claim

When H0 can be rejected, then there is sufficient evidence to support, the accountant's claim. Thus, we go with the accountant's claim and conclude that the manager is wrong.

Please helppppp !!$$

Answers

Step-by-step explanation:

please I'm not sure for the numbers 3 and 2.

for number 10,

2/3x -4 = 3 +5

2/3x = 8+4

2/3x = 12

2x= 12 x 3

2x = 36

x = 18

and for number 4

(y+1)/5 - (y-2)/4 = -1

to clear out the fraction, multiply throughout by 20

after multiplying, we have

4(y+1) -5(y-2)= -20

4y+4-5y+10 =-20

14 -y = -20

-y = -20 + 14

-y = -6

y = 6

(6x2 + 8)(3x2 – 5x + 7)?

Answers

The answer is 260-100x

Please help me!l it’s worth 100 points!!!

Answers

Answer:

A

Step-by-step explanation:

Only graph in which x=2

I’m pretty sure it’s A

need help please finding the asnwer to number 4

Answers

9514 1404 393

Answer:

  x = 6.4

Step-by-step explanation:

The corresponding sides are proportional, so we have ...

  horizontal/vertical = x/(5+3) = 4/5

  x = 8(0.8) = 6.4 . . . . . . multiply by 8

Chloe wants to buy a shirt at the store that cost $14.99. She also wants to
buy a pair of shoes that cost $25.99. She has a coupon for x dollars off her
entire purchase. She spends a total of $30.98 at the store. Which equations
could be used to find the value of the coupon, X. Choose all that apply. *
14.99 + 25.99 - X
14.99 + 25.99 - X = 30.98
40.98 - x = 30.98
14.99 - X + 25.99 = 40.98

Answers

Answer:

14.99 + 25.99 - X = 30.98

14.99 + 25.99 - X

Step-by-step explanation:

They all relate to what the question is asking, and make the most sense

Rashad walks 4 miles in 74 minutes. Express his rate as a simplified fraction.

Answers

Answer:

Step-by-step explanation:

4 miles / 74 minutes simplifies to

2 miles / 37 minutes

BRAINLIEST 7TH GRADE MATH
EASY 10PTSSS
PLEASE HELP
SHOW WORK AN WILL MARK BRAINLIEST
Find the measure of angle x in the figure below:

Answers

Answer:

48

Step-by-step explanation:

180- 59- 52 = 69

Therefore,

69 + x + 63 = 180

x = 48

Thenks and mark me brainliest :)

Answer:

the answer is b=48

Step-by-step explanation:

52+y+59=180(angle on a straight line is 180)

collect like terms

y=180-59+52

y=180-111

y= 69

to look for x is equal to

69+x+63=180

collect like terms

x=180-69+63

x=180-132

x=48

so mark the briliest o


Solve for x.
2x^2 + 65 = 227

Answers

Answer:

x = ±9

Step-by-step explanation:

Isolate 2x^2 by subtracting 65 from both sides:

            2x^2 = 162

Then x^2 = 81, and x = ±9

How often are you required to make payments on an auto loan?
Option A Once a week.
Option B Every other week.
Option C Once a month.
Option D Every time you get a paycheck.

Answers

Answer:

C is the answer

Step-by-step explanation:

hope this helps

Answer choices are based off of picture
A
B
C
D

Answers

Answer:

I think A

hope it's help.

Chi has $11.30 in dimes and quarters. The number of dimes is three more than three times the number of quarters. How many of each are there?


I need to solve for both dimes and Quarters

Answers

Grade? I need clear definition thanks!

how to use a compass​

Answers

Answer:

Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and

Adjust Declination. North on a map is easy to find (it’s at the top)

Orient Your Map

Take a Bearing

I hope this helps :3

Which triangles are similar?

Answers

i’m pretty sure it would be a and b

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

Answer:

the second one

Step-by-step explanation:

You toss a coin and roll a six-sided die twice. What is the probability of landing on heads, rolling a 2, and then rolling a 4?

Answers

Answer:

1/72

Step-by-step explanation:

The probability of landing on heads is 1/2

The probability of rolling a 2 is 1/6

The probability of rolling a 4 is 1/6

[tex]\frac{1}{2} *\frac{1}{6} *\frac{1}{6} =\frac{1*1*1}{2*6*6} =\frac{1}{72}[/tex]

pleaseee helpppp meee (;

Answers

Answer:

a. Area = 1,017.36 cm²; Circumference = 113.04 cm

b. Area

c. Circumference

Step-by-step explanation:

Given:

Radius (r) = 18 cm

π = 3.14

a. Area of the mirror = area of circle = πr²

Plug in the values

Area = 3.14*18²

Area = 1,017.36 cm²

Circumference = 2πr

Circumference = 2*3.14*18

Circumference = 113.04 cm

b. The area of the glass would be used in finding the amount of glass needed caused it's the surface of the glass that is to be replaced.

c. The silver wire would be placed around the mirror, therefore, it is the circumference that would be needed in finding the amount of wire needed since the circumference is the perimeter round the mirror.

what is the average rate of change of f(x) = (x + 3)2 − 2

Answers

Answer:

When we have a function f(x), the average rate of change in the interval (a, b) is:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

In this case, we have the function:

f(x) = (x + 3)^2 - 2

(but we do not have the interval, and I couldn't find the complete question online)

So if for example, we have the interval (2, 4)

The average rate of change will be:

[tex]r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12[/tex]

If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).

Such that the rate of change, in this case, will be:

f'(x) = df/dx

For a function like:

g(x) = x^n + c

g'(x) = n*x^(n - 1)

And for:

h(x) = k( g(x))

h'(x) = k'(g(x))*g'(x)

So here we can write our function as:

f(x) = k(g(x)) = (x + 3)^2 - 2

where:

g(x) = x + 3

k(x) = x^2 - 2

Then:

f'(x) = 2*(x + 3)*1 = 2*x + 6

That is the rate of change as a function of x (but is not an "average" rate of change)

cos 210 is equal to
-cos 30
cos 30
-sin 30
sin 30

Answers

-cos 30
exploration :

[tex]\huge{ \mathcal{ \underline{ Answer }}}࿐[/tex]

Cos 210° is equal to [tex]-Cos(30°)[/tex]

[tex] \#TeeNForeveR[/tex]

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

Answer:

The area of the rectangle is 4 sq yards.

Step-by-step explanation:

Given that,

The length of the rectangle, [tex]L=\dfrac{2}{13}\ yards[/tex]

The breadth of the rectangle, B = 26 yards

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

[tex]A=\dfrac{2}{13}\times 26\\\\A=2\times 2\\\\A=4\ yd^2[/tex]

So, the area of the rectangle is 4 sq yards.

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