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3 years ago

Which expressions are equivalent to z + (z + 6) z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

8 0

In the question, the given expression is

$z+(z+6)$

And we have to find the equivalent expression to the given expression .

First we remove the parenthesis

$z+z+6$

Now we combine the like terms, and here like terms are z and z, therefore on combining , we will get

$z+z+6 = 2z+6$

And that's the required equivalent expression .

nexus9112 [7]3 years ago

6 0

The answer is:

2(z+3)

The rest are false.

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The average mail carrier walks 4.8 kilometers in a workday. how far do most mail carrier walk in 6-day week? there are 27 workin

ikadub [295]

For the 6-day workweek: multiply 4.8 times 6 = 28.8 km.
For July: multiply 27 times 4.8 = 129.6 km.
Hope this helps!

7 0

3 years ago

According to Professor Zarkov's correlational data, there is a statistically significant relationship between the socioeconomic

alina1380 [7]

Answer:

b. the results are unlikely to have occurred by chance.

Correct when we say significant means that the difference between the hypothetical correlation coefficient of 0 and the real correlation coefficient are large enough to conclude the significant result and not just by chance.

Step-by-step explanation:

When we want to analyze of two variables present significant correlation usually we use the following system of hypothesis:

Null hypothesis: $\rho =0$

Alternative Hypothesis: $\rho \neq 0$

And when we conduct the test if we conclude that we have a significant relationship that means, we have enough evidence to conclude that the correlation coefficient is different from 0 at some significance level $\alpha$ . Let's analyze one by one the possible options:

a. the finding has no mathematical validity.

False, we are conducting an hypothesis test, that procedure present validity always.

b. the results are unlikely to have occurred by chance.

Correct when we say significant means that the difference between the hypothetical correlation coefficient of 0 and the real correlation coefficient is large enough to conclude the significant result and is not just by chance.

c. there is a cause-and-effect relationship between the two variables.

False, we can't analyze causal relationships with the correlation coefficient.

d. the finding can be used to generate new theories.

That's False we can't create new theories with this result, we just can conclude that the correlation coeffcient for the population is different from 0, but nothing else.

8 0

3 years ago

Complete the table for the given rule. Rule: y=X/4(fraction)

Lady_Fox [76]

Answer:

$\large\huge\boxed{\begin{array}{c|c}x&y\\\\4&1\\\\2&\frac{1}{2}\\\\9&\frac{9}{2}\end{array}}$

Step-by-step explanation:

$y=\dfrac{x}{4}$

Put the values of x from the table to the equation:

$x=4\to y=\dfrac{4}{4}=1\\\\x=2\to y=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\x=9\to y=\dfrac{9}{4}$

From the comment.

Convert the equation:

$y=\dfrac{x}{4}$ <em>multiply both sides by 4</em>

$4y=x\to x=4y$

Put the values of y from the table to the equation:

$y=4\to x=(4)(4)=16\\\\y=2\to x=(4)(2)=8\\\\y=9\to x=(4)(9)=36$

$\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}$

3 0

3 years ago

Elvis and $74 .50 a month.. how much does he earn to the nearest one penny.

sdas [7]

Answer:

Part A

12 months a year means

%74.5 x 12 = $894

Part B

4 weeks in a month means

$74.5 ÷ 4 = $18.625

But rounded to the nearest penny. . .

$18.62

because in the thousandths place was a 5 and you round up when there is a 5 or above

Part C

We will go with 31 days in a month, but I will also do 30 for you

$74.5 ÷ 30 = $2.48333

But rounded to the nearest penny. . .

$2.48

because you round down when there is anything less than a 4

$74.5 ÷ 31 = $2.40322580645

But rounded to the nearest penny. . .

$2.40

because you round down when there is anything less than a 4

3 0

3 years ago

What is the quadratic equation of the curve of best fit shown below

Kisachek [45]

First off, we know that the y-interecept is 2, so there is going to be a plus two in the final equation. Now with the two answers input the number 8 to see which will output 6.

6 = 1/12(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/12 + 2
6 = 16/3 + 6/3
6 does not equal 22/3

6 = 1/16(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/16 + 2
6 = 4 + 2
6 = 6
This means that y = 1/16 x^2 + 2 is the correct answer. I hope that helps!

4 0

3 years ago