Please explain how you got your answers! (: Solve the problem by using the counting principle. A. Drapery is sold in 4 different fabrics. Each fabric comes in 13 different patterns. Each pattern is offered in 9 different colors. How many fabric-pattern-color combinations are there?

B. A shelf hold 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random. What is the probability that the student choose the following?
both novels

A. 1/4
B. 1/2
C. 1/5
D. 1/3

A shelf hold 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random. What is the probability that the student choose the following?

both biographies

A. 1/15
B. 1/20
C. 1/5
D. 1/3

A shelf hold 3 novels, 2 biographies, and 1 history book. Two students in turn choose a book at random. What is the probability that the student choose the following?

a history, then a novel

A. 1/2
B. 1/5
C. 1/10
D. 1/15

Answers

Answer 1

Answer: A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468

B. P(1st choice) = no of novels / total books = 3/6 = 1/2
    P(2nd choice) = no of remaining novels/ total remaining books = 2/5
    P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)

C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
    P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
    P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)

D. P(1st choice) = no of history books / total books = 1/6
    P(2nd choice) = no of novels/ total remaining books = 3/5
    P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)

Related Questions

Express 0.77230.77230, point, 7723 as a fraction
Find the value of f (-9)
In at least 100 words independently write your response to the statement, "Anyone can do well in math."
Kyla measured the weight of a bunch of bananas as 1,100 grams using the scale.What is the margin of error? A. 1,000 g to 1,200 g B. 1,050 g to 1,150 g C. 1,150 g to 1,200 g D. 1,000 g to 2,000 g
store uses a selling price based markup of 40% and item cost to store a 300 what selling price with the store set for the item A 335 B 400 C 435 D 500

What expressions are equivalent to 3(4x+3)?

Answers

Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property

Write an expression to represent the volume of the composite figure, 1in 1in 3in 5in 3in

Answers

1 to the power of 2
Times
3 to the power of 2
Times
5

Answer:

1 to the power of 2

Times

3 to the power of 2

Times

Step-by-step explanation:

HelpI have a math assignment for you. The property we live on is odd shaped & I'm trying to confirm the properties square footage. I have two different figures. So your assignment, if you wish to do so,(that's from mission impossible) is to determine the square footage of the property.Dimensions are as follows:
East side (Highbury St side) 133.78 ft.
North side (neighbour) 120.00 ft.
South side (laneway) 136.6 ft.
West side 66.1 ft.

Help Please

Answers

(NOTE: I hope this is not for legal reasons. if if it is, then don't quote me on this)

if there are 2 right angles (as said in comments, then you can divide the shape into a rectangle and a triangle as sseen in the attachment (not to scale)
we can do this since there are 2 right angles in the places mentioned in the comments (NE and NW
then find the areas of each
(the right angles. are in yellow ink)
area of rectangle=legntht times widht
legnth=120
width=66.1
area=120 times 66.1=7932

find the area of the triangle so we see that we can find the height of the triangle by subtracting 66.1 from 133.78 to find the triangle's height
height=67.68
legnth is the same
area of triangle=1/2 times base times height
base=legnth=120
height=67.68
area=1/2 times 120 times 67.68=4060.8
now add the areas together

rectangle=7932 ft^2 or square feet
triangle=4060.8 ft^2

rectangle+triangle=whole=7932+4060.8=11992.8 ft^2

answer is 11,992.8 ft^2 or 11,992.8 square feet

A soldier drinks 2/9 of a liter of water a day. How many liters will he need for 14 days

Answers

Answer:

28/9

Step-by-step explanation:

14/1 * 2/9

Answer:

3.108

Step-by-step explanation:

1. 2 divided by 9 equals 0.222

2. The soldier will need x amount of liters in *14* days.

3. Multiple 0.222 by 14.

The multiplication property of equality could be used to solve which of the following equations?(x + 2)(x - 3) = 0
m + 7 = -12
b ÷ (-2) = 18
-3 + y = 7

Answers

b ÷ (-2) = 18
hope it helps

well
first one doesn't need that property
2nd one needs subtraction property of equality
third one can use it
fourth one needs addition property of equality

3rd one is answer
b/-2=18 is answer

How to find length of a triangle given one side and angle

Answers

Answer:

Use trigonometric ratio

Step-by-step explanation:

Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle

To solve for one of the two unknown lengths, use trigonometric ratio

There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)

Sine of the angle given = opposite side ÷ hypotenuse side

Cosine of the angle given = adjacent side ÷ hypotenuse side

Tangent of the angle given = opposite side ÷ adjacent side

Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal

To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given

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