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Cloud [144]
3 years ago
12

The two Step equations 5k=20

Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer: X = 4

Step-by-step explanation: To solve for k in this equation, we want to get k by itself on the left side of the equation.

Since k is being multiplied by 5, to get k by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.

On the left side, notice that the 5's cancel out, so we are simply left with z. On the right side, we have 20 divided by 5 which gives us 4.

Now we have X = 4.

Finally, remember to check your answer by substituting a 4 back into the original equation.

So we have 5 (4) = 20 which is a true statement.

This means that our answer, x = 4 is correct.

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If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1
Vilka [71]

Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula \bar{x}=\frac{\Sigma x}{n}, where,

\bar{x}=\text{Mean},

\Sigma x=\text{Sum of all data values},

n=\text{Number of data points in sample}

Let us find mean of each row using above formula.

\text{Mean of row 1}=\frac{4+2+2+3+3}{5}

\text{Mean of row 1}=\frac{14}{5}

\text{Mean of row 1}=2.8

Therefore, mean of 1st row is 2.8.

\text{Mean of row 2}=\frac{3+3+4+3+2}{5}

\text{Mean of row 2}=\frac{15}{5}

\text{Mean of row 2}=3

Therefore, mean of 2nd row is 3.

\text{Mean of row 3}=\frac{2+4+3+4+3}{5}

\text{Mean of row 3}=\frac{16}{5}

\text{Mean of row 3}=3.2

Therefore, mean of 3rd row is 3.2.

\text{Mean of row 4}=\frac{3+4+4+7+3}{5}

\text{Mean of row 4}=\frac{21}{5}

\text{Mean of row 4}=4.2

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

6 0
3 years ago
Read 2 more answers
13/15 - 1/4 =<br> Please help me
podryga [215]

13/15-1/4

=52/60-15/60

=52-15

______

60

=37/60

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>uu</em><em> </em><em>frnd</em>

5 0
3 years ago
Read 2 more answers
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 42%. Part 1 out of 4
BigorU [14]

Answer:

0.42

Step-by-step explanation:

The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.

The expression of the markdown using a decimal can be represented below.

Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal.  Or you can just divide the percentage value by 100.

In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.

6 0
3 years ago
Write the number in two orher forms 314,207
asambeis [7]
Word Form: Three hundred fourteen thousand two hundred seven

Expanded Form: 300,000 + 10,000 + 4,000 + 200 + 7
5 0
4 years ago
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Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume
Sphinxa [80]

Answer: (1.55, 6.45)

Step-by-step explanation:

The confidence interval for population mean is given by :-

\overline\ {x}\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Sample size : n=41

Sample mean : \overline{x}=4.0\text{ kg}

Standard deviation : \sigma=6.1\text{ kg}

Then, 99% confidence interval for population mean will be :_

4\pm\ (2.576)\dfrac{6.1}{\sqrt{41}}\\\\\approx4\pm2.45\\\\=(4-2.45, 4+2.45)=(1.55, 6.45)

8 0
4 years ago
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