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Ierofanga [76]
3 years ago
7

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin and rolling a dice

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
6 0
You could get 2 different outcomes if you tossed a coin (head or tail) and 6 different outcomes if you rolled a dice (1-6). There would be 2 branches for tossing a coin and then 6 leaves on each for all the outcomes of rolling a dice so 6*2=12. There would be 12 leaves.
dolphi86 [110]3 years ago
4 0
The total number of outcomes of rolling a die      = 6
The total number of outcomes of  tossing a coin = 2

The total number of possible outcomes of executing both experiments is 6*2=12, which is also the number of leaves (end of the branch of a tree) on a tree diagram.
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The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 Inches squ
solong [7]

Answer: D 62 inches

Step-by-step explanation: Given area of each tray = 228 in2 inches

7 0
3 years ago
Read 2 more answers
Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$
OlgaM077 [116]

hmmm let's find the distance between B and C first off.

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0
1 year ago
Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a)
AysviL [449]

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

(a+b)c=a \cdot c+b \cdot c

Given the algebraic expression: (7 + a)3

Applying the distributive property

(7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a

An equivalent expression is 21+3a.

The correct option is B

5 0
3 years ago
A, B and C are events such that P(A) = 1/3, P(B) = ¼, and P(C) = 1/5. Find P(AUBUC) under each of the following assumptions: a)
marta [7]

(a) If A,B,C are mutually exclusive, then

P(A\cap B)=P(A\cap C)=P(B\cap C)=P(A\cap B\cap C)=0

so we have

P(A\cup B\cup C)=P(A)+P(B)+P(C)=\dfrac{47}{60}

(b) If A,B,C are mutually independent, then

P(A\cap B)=P(A)P(B),

P(A\cap C)=P(A)P(C),

P(B\cap C)=P(B)P(C),

P(A\cap B\cap C)=P(A)P(B)P(C)

so that

P(A\cup B\cup C)=P(A)+P(B)+P(C)-(P(A\cap B)+P(A\cap B)+P(B\cap C))+P(A\cap B\cap C)

P(A\cup B\cup C)=\dfrac{47}{60}-\left(\dfrac1{12}+\dfrac1{15}+\dfrac1{20}\right)+\dfrac1{60}

P(A\cup B\cup C)=\dfrac35

5 0
3 years ago
Discuss the differences in accounting functions for sole proprietorship, partnership, and corporate business entities.
kozerog [31]
One has only one owner and the other have several.
3 0
3 years ago
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