Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at Dillon's Store or 3 from a selection of 20 shirts at The Men's Shop. In how many ways can she select the shirts

Answers

Answer 1

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.

Combination formula:

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

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

In this problem:

3 shirts from a set of 17.Then, 3 shirts from a set of 20.They are independent, hence, to find the total, we multiply both combinations.

[tex]T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200[/tex]

She can select the shirts in 775,200 ways.

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Related Questions

3. A rectangular deck has an area of 24 square yards. The length of the deck is shown in the figure. What is the width of the deck in yards? Enter your answer in the box.

Answers

Answer:

can you please send the picture as well because for this

(The length of the deck is shown in the figure.=??)

figure is needed ..

Tell me the figure but rectangular deck has area 24 use rectangle formula b(h)= area or lwh=area
But we already know the Area
lwh=24
But I don't see the length of the deck that shown in the figure

Sorry you don't have enough information

Four squirrels have 30 berries each. But before they start watching, two more squirrels join the group. They share the berries equally amongst themselves. How many berries will each squirrel get to eat?

Answers

Answer:

5

Step-by-step explanation:

4+2=6

30 berrys so you do 30/6=5

what is an equation of the line that passes through points (-7,-5) and (-7,-2)?

Answers

Answer:

x=-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

The Circumference of Taylor’s bike tire is 72 inches what is the diameter of the tire used 3.14 for and round to the nearest whole number

Answers

Answer:

Step-by-step explanation:

Circumference=72

pi=3.14

Radius=C /2π

72/6.28=11.4649681529

Rounded to the whole would be 11

=11

It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.

Answers

Answer:

$52

Step-by-step explanation:

8*6.50

The sum of three consecutive odd numbers is 987. Find the numbers.

Answers

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers

Answers

Answer:

415 and 29

Step-by-step explanation:

x = 14y+9

xy = 12035

(14y+9)y = 12035

y = -415/14 and 29 but it's a positive integer

so y = 29

x = 14(29)+9

x = 415


The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.

Answers

Answer:

2 and 7.3

Step-by-step explanation:

[tex]P=2x+2y=18.6[/tex]

[tex]2x=18.6-2y\\x=9.3-y[/tex]

We'll replace x with (9.3-y)

[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]

Now we solve this equation by sum and product:

[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]

Replacing back in the Perimeter equation:

[tex]2x+2y=18.6[/tex]

if y=7.3

[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]

if y=2

[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]

So, the dimensions are 2 and 7.3 km

Find the value of x need help

Answers

Answer:

x = 13

Step-by-step explanation:

180-52=10x-2

130=10x

13=x

Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?

Answers

The size of each area is 3x

Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.

From the given parameters.

Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)x

So, Henry's garden is said to be divided into 12 equal size areas.

The size of each area is;

[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]

[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]

= 3x

Learn more about word problems in mathematics here:

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Which equation would NOT represent a function?

Answers

Answer:

[tex]y^{2}=x[/tex]

Step-by-step explanation:

all of the other equations are functions as y is to the power of 1. since y is to the power of 2 in answer choice A, it would form a sideways parabola that does not pass the vertical line test.

Answer:

the answer is a because I did the math

At the candy store, one pound of candy Cost $6.49. How much would it cost if Joey bought .79 pounds of candy ?

Answers

Answer:

5.12

Step-by-step explanation:

1 lb               .79 lbs

------------ =  -----------

6.49             x dollars

Using cross products

1x = 6.49 * .79

x =5.12 dollars

PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!

Answers

Answer:

y=0.25x-6

Step-by-step explanation:

4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?​

Answers

The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Find the image attached. From the figure, we can see that there are 6 rows in the array.

If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:

20P6 = 20!/(20-6)!

20P6 = 20!/14!

20P6 =  20 * 19 * 18 * 17 * 16 * 15

20P6 = 27,907,200

Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

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A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.

Answers

The approximate population in 2016 is 91, 604 population

Let the time taken by the population to increase be "t"Let the number of the population be P

The exponential equation representing the statement is [tex]P=P_0e^t[/tex]

If in 2010 the population was 56,000, then at t = 0, P0 = 56000

Substituting into the formula will give:

P = 56000

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]

Hence the approximate population in 2016 is 91, 604 population

Learn more on exponential function here:https://brainly.com/question/2456547

x-2/5=2/3-3x-2/6
solve for x

Answers

i think the answer is 11/60

Complete the equation of the line through (-10,3)(−10,3)left parenthesis, minus, 10, comma, 3, right parenthesis and (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis.

Answers

Answer:

[tex] y = -\dfrac{11}{2}x - 52 [/tex]

Step-by-step explanation:

Line through points (-10, 3) and (-8, -8).

slope = (-8 - 3)/(-8 - (-10)) = -11/2

y = mx + b

y = (-11/2)x + b

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = (-11/2)x - 52

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope fo the line passing through (-10,3) and (−8, -8) is

Slope, m = (-8-3)/(-8+10) = -11/2

Now, equate a point in the equation,

3 = -10(-11/2) + C

3 = 55 + C

c = -52

Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

Learn more about Equation of Line:

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#SPJ2

11. Given a matrix A, what is A^1?
A=[0 12 0 1]

Answers

[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]

NO LINKS!!!

Purchasing a TV that is 30% off will save $250.
a. What is the part, percent, and whole.
b. What is the original price of the TV?

Answers

Answer:

  a. part: $250; percent: 30%; whole: $833.33

  b. $833.33

Step-by-step explanation:

a. The part is given as $250; the percentage that represents is given as 30%.

The whole is the ratio of the part to the percent:

  $250/30% = $250/0.30 = $833.33 . . . whole

__

b. The original price is the "whole" of which 30% is the part.

  original price: $833.33

f(x)=x^2. what is g(x)?

Answers

- x^2 -3

We can see that g(x) is a reflection of f(x) and a translation down by -3 units parallel to the y axis

Applying these transformations to f(x) will yield option A

Find the value of x! GIVING BRAINILEST

Answers

Answer:

the value of x must be 71°

Step-by-step explanation:

180° - (38° + 33°) = 109°

x = 180° - 109°

x = 71°

Answer:

x = 71

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 38 + 33 = 71

26.52 x 90.7 step by step

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]

[tex]OR:[/tex]

Here's a paper I wrote of your answer.

Sorry, if my picture is blurry.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Select the correct answer. This table represents the boiling point of water at different altitudes.Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9

Answers

Answer:

Step-by-step explanation:

The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows

Need help asap! I would appreciate it soo much if your answered.

Answers

Answer:

Step-by-step explanation:

The point of closest approach is on a line perpendicular to the zip line

perpendicular lines have negative reciprocal slopes, so the perpendicular line has slope (8/3)

y = (8/3)x + b

adding our known point (3, 16)

16 = (8/3)3 + b

b = 8

y = (8/3)x + 8

now find where the two lines intersect by solving two equations with two unknowns

y = (-3/8)x + 8

as the two lines have a common y intercept of 8, that is the common point

(0, 8)

The distance from (0, 8) to (3, 16) is

d = √((3 - 0)² + (16 - 8)²) = √73 = 8.5440037453...

d = 8.5 ft

HELP THIS IS MY 2ND ATTEMPT

Answers

Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct

The value of the x intercept for the graph of 4x-5y=40 is

Answers

Answer: x=10

Step-by-step explanation:To find the x-intercept, you have to set y=0.

4x-5y=40

4x-5(0)=40

4x-0=40

4x=40

Then divide both sides by 4 to get x=10

Hope this helps! :D

The table shows the final score of four golfers.
Golfer Final Score
Joe
-2
Allen
-5
Tara
-8
Violet
-4
Whose score was the lowest? Whose was the highest? Select your answers from the drop-down lists.
score was the lowest.
score was the highest.
Students, draw anywhere on this slide!
PER Deck eractive Skoe

Answers

highest is joe because it the most closest to 0
Lowest is Tara because it the most far from 0

Answer:

Joe score was the highest. Tara score was the lowest.

Step-by-step explanation:

help me plssssssssssssss

Answers

multipley by 2, to get the answer

Please please hurry!!!! Answer this question

Answers

we cant if we dont know the points
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