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2 years ago

What is the Properties of Equality

Mathematics

1 answer:

Vesna [10]2 years ago

7 0

Hi there,

Properties of Equality is two equations that have the same solution which are called equivalent equations. For example: 5+3=2+6 which all equal to 8.

In geometry, properties of Equality are the reflexive (2x=2x, a=a, b+1=b+1), symmetric (2a=3b then 3b=2a) and transitive property (if a+1=3 and 3=1-b, then a+1=1-b)

Hope this helped :)

Have a great day

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\The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sig

chubhunter [2.5K]

Answer:

68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

Step-by-step explanation:

The lengths of a lawn mower part are approximately normally distributed

$\mu = 4$

Standard deviation = $\sigma =0.2$

We are supposed to find What percentage of the parts will have lengths between 3.8 in. and 4.2 in . i.e. P(3.8<x<4.2)

Formula : $Z=\frac{x-\mu}{\sigma}$

At x = 3.8

$Z=\frac{3.8-4}{0.2}$

Z=-1

Refer the z table for p value

p value =0.1587

At x =4.2

$Z=\frac{4.2-4}{0.2}$

Z=1

Refer the z table for p value

p value =0.8413

P(3.8<x<4.2)=P(x<4.2)-P(x<3.8)=0.8413-0.1587=0.6826

So, 68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

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3 years ago

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EleoNora [17]

Answer:

angle 5 = 102

Step-by-step explanation:

angle 2 = angle 6 { they are corresponding angles }

and then angle 6 and angle 5 = 180

78 + angle 5 = 180

angle 5 = 180-78

angle 5 = 102

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2 years ago

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Beth has $108.50 in her bank account. She buys x shirts for $5.50 each. Write and solve an equation Beth can use to find how man

suter [353]

$x-\ number\ of\ shirts\\\\
x*5.50=108.50\ \ \ | divide\ by\ 5.50\\\\
x\approx19\\\\
She\ can\ buy\ 19\ shirts.$

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Karen had 15 snicker bars. she gave 7 to her brother. what percent did she give away

Mekhanik [1.2K]

Step-by-step explanation:

The way to get this is that you put them in fraction form 7/15 and then you make it equal to to x/100 and then divide the known part of the fraction which in this case is 100/15 which gives 6.67 (rounded). After you get that you multiply it by 7 which give you 46.69%

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2 years ago

Use the distributive property to write an expression that is equivalent to: 3(x + 5)

lana [24]

Answer:

3x=15

Step-by-step explanation:

Here's what I found on google about the distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Now for the math-

3(x+5)

distribute the numbers- 3(x)+3(5)

solve- 3*5=15

3x+15

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2 years ago