Which property is illustrated by the equation (a+b)+c=c+(a+b)

Answers

Answer 1

Answer: Associative property of addition Which property is illustrated by the equation (a+b)+c=c+(a+b) is the associative property of addition. The associative property of addition groups addends together which still yields the same sum regardless of the clustering or grouping set.
For example:
1.           1 + (2 + 3) = 6 = (1 + 2) + 3
2.           1 + (2 + 7) = 10 = (1 + 2) + 7
3.           550 + (20 + 5) = 575 = (550 + 5) + 20

Answer 2

Answer:

Association Property

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What does the greater unit rate, or slope, mean in terms of the situation? What can you conclude from this?

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Answer: it means that he covered more space when tiling than Felicia did. Tell me if I am right please.

Evaluate 4a-bc if a=7 b=3 c= -2

Answers

Its 34 because 7x4=28, and 3 x -2 is -6 and a negative x - negative is positive so you would do 28+6 which is 34

You would plug in your answers and the equation would become 4(7)-(3*-2)=34. You should have known this if you are in high school.

The sum of 5 consecutive even numbers is 270 what is the second number in this sequence

Answers

52+53+54+55+56 the second number is 53

The prism can be cut into three pyramids with the shaded faces congruent. If the shaded faces are considered as bases, then all three pyramids have the same height, h. Therefore the pyramids have equal volumes. What is the volume of each pyramid?A) ⅓Bt
B) ⅓Ah
C) ⅓Ar
D) ⅓At

Answers

The correct answer is letter C

A jar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch. What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?

Answers

The answer is 0.096.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur.

There are in total 15 cookies in the jar:
6 chocolate chip cookies + 9 peanut butter cookies = 15 cookies

The probability to drew 1 chocolate chip cookie is: $P_1= (6)/(15) = (2)/(5)$
The probability to drew 1 peanut butter cookie is: $P_2= (9)/(15) = (3)/(5)$

In this example, we have three events occurring together:
1. The probability that he drew 1 chocolate chip cookie: $P_1= (2)/(5)$
2.The probability that he drew 1 chocolate chip cookie: $P_1= (2)/(5)$
3. The probability that he drew 1 peanut butter cookie: $P_2= (3)/(5)$

By using the multiplication rule, the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie is 0.096:
$P=P_1*P_1*P_3= (2)/(5) * (2)/(5) * (3)/(5) = (2*2*3)/(5*5*5) = (12)/(125) = 0.096$

A container holds 50 electronic components, of which 10 are defective.1. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is ?
A) 0.26
B) 0.42
C) 0.75
D) 0.91
E) 1.00
2. If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is ?
A) 0.147
B) 0.203
C) 0.300
D) 0.375
E) 0.750

Answers

1.) q = P(defective) = 10/50 = 0.2
p = P(not defective) = 1 - P(defective) = 1 - 0.2 = 0.8
P(x) = nCr p^x q^(n-x)
P(x ≥ 4) = P(4) + P(5) + P(6) = 6C4 * (0.8)^4 * (0.2)^2 + 6C5 * (0.8)^5 * 0.2 + (0.8)^6 = 15 * 0.4096 * 0.04 + 6 * 0.32768 * 0.2 + 0.262144 = 0.24576 + 0.393216 + 0.262144 = 0.90112
Option D is the correct answer.

2.) p = P(defective) = 10/50 = 0.2
q = P(not defective) = 1 - P(defective) = 1 - 0.2 = 0.8
P(x) = nCr p^x q^(n-x)
P(x = 3) = 8C3 * (0.2)^3 * (0.8)^5 = 8C3 * 0.008 * 0.32768 = 56 * 0.008 * 0.32768 = 0.1468
Option A is the correct answer.

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