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weqwewe [10]
3 years ago
13

Apply the distributive property to create an equivalent expression. \dfrac12(10x + 20y +10z) = 2 1 ​ (10x+20y+10z)=start fractio

n, 1, divided by, 2, end fraction, left parenthesis, 10, x, plus, 20, y, plus, 10, z, right parenthesis, equals
Mathematics
2 answers:
Fiesta28 [93]3 years ago
6 0

Answer:

The answer is "5x+10y+5z"

Step-by-step explanation:

Given value:

\to \frac{1}{2}(10x + 20y +10z)

Using the distributive property.

If there are three integers a,b and c then:

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

\to  \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)

Again apply the distributive property

 \to (5x) +(10y+5z)\\\\\to (5x+10y+5z)

Or

\to \frac{1}{2}(10x + 20y +10z)

take common 2 from the equation:

\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\

Rudiy273 years ago
3 0

Answer:

5x+10y+5z

Step-by-step explanation:

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A water bottle contains 1.5 L of water. Approximately how many gallons does the water bottle contain?
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A researcher is interested in estimating the mean blood alcohol content of people arrested for driving under the influence. Base
UNO [17]

Answer:

We need a sample size of at least 650

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We need a sample of size at least n

n is found when M = 0.005, \sigma = 0.065

So

M = z*\frac{\sigma}{\sqrt{n}}

0.005 = 1.96*\frac{0.065}{\sqrt{n}}

0.005\sqrt{n} = 1.96*0.065

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7 0
3 years ago
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3 0
4 years ago
"Ten subtracted from the quotient of a number<br> and 5 is 18."
Anika [276]

Answer: n/5 - 10 = 18: this would be the equation. Your answer would be 140.

Step-by-step explanation: Let consider the number as ‘X’

Quotient of a number and 5 can be written as

                        X divided by 5

Ten subtracted from the quotient of a number and 5 can be written as

                       (X divided by 5)-10

Ten subtracted from the quotient of a number and 5 is 18 can be written as

                       (X divided by 5)-10=18

  By solving the above equation, find ‘X’

                       (X divided by 5) = 18 + 10

                    X/5=28

                       X = 28 x 5 = 140                    

                       

                   

4 0
3 years ago
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