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RSB [31]
2 years ago
6

Match each equation on the left to the mathematical property it uses on the right.

Mathematics
1 answer:
otez555 [7]2 years ago
3 0

Answer:

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition

b) 5(2x + 3) = 10x + 15

distributive property

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication

d) (3 . x . 4) = (4.x .3)

commutative property of multiplication

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition

Step-by-step explanation:

We have to give properties for each equation.

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition as (a+b)+c= a+(b+c)

b) 5(2x + 3) = 10x + 15

distributive property as a(b+c)=ab+ac

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication as (a.b).c = a.(b.c)

d) (3 . x . 4) = (4.x .3)  (Assuming typing mistake in question)

commutative property of multiplication = a x b = b x a

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition as (a+b)+c= a+(b+c)

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What is the value of x?
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Answer:

B, x=5

Step-by-step explanation:

Both triangles are similar with a ratio of 22.5/9

so using that an equation can be created like this, \frac{22.9}{9} = \frac{23.5}{x+4.4}

If simplified, 22.9(x + 4.44) = 23.5(9)

22.5x + 99 = 211.5

22.5x = 112.5

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What is the estimated margin of error, using standard deviation?
OLEGan [10]
Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5

Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25

12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573

Standard Deviation = 3.1573

108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312

110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
 

Margin of error = +/- 2.19



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the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps

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