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2 years ago

Simplify 3√ 2 – √ 2 .

Mathematics

2 answers:

Morgarella [4.7K]2 years ago

7 0

Answer: The simplified value of the given radical expression is $2\sqrt2.$

Step-by-step explanation: We are given to simplify the following radical expression :

$E=3\sqrt2-\sqrt2~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that for a radical expression with similar radicals, the following property holds :

$a\sqrt b-d\sqrt b=(a-d)\sqrt b.$

So, from equation (i), we get

$E\\\\=3\sqrt 2-\sqrt 2\\\\=(3-1)\sqrt2\\\\=2\sqrt2.$

Thus the required simplified value of the given radical expression is $2\sqrt2.$

pickupchik [31]2 years ago

3 0

You will have two find the square root of the question

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The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.

Vladimir79 [104]

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

Year 1

x (1 + 20%)
x (1.2)
1.2x

Year 2

1.2x (1 + 25%)
1.2x (1.25)
1.5x

Year 3

1.5x (1 + 30%)
1.5x (1.3)
1.95x

Year 4

1.95x (1 + 10%)
1.95x (1.1)
2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

7 0

1 year ago

The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month. Assume that this mean was base

Effectus [21]

Answer:

a) 17.09 hours

b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 49 - 1 = 48

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0106

The margin of error is:

M = T*s = 2.0106*8.5 = 17.09

s is the standard deviation of the sample. 17.09 hours is the answer for a.

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours

The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours

The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

8 0

2 years ago

Part B What is the unit for Warren’s data? This is due tommorrow at 12:44PM!!!!!!!!

kramer

Answer: The unit for Warren’s data is the number of cars sold each day.

Sorry for the answer being so late!

4 0

2 years ago

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A new car that costs $17,500 loses 25 percent of its value in the first year. How much is the loss of the value.

EastWind [94]

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 17500}}{\left( \cfrac{25}{100} \right)17500}\implies 4375$

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2 years ago

9 – 2k = 25 what is k

worty [1.4K]

Answer:

k = - 8

Step-by-step explanation:

Subtract 9 from both sides to get the constants on one side and the variables on the other

9 - 2k = 25

- 2k = 25 - 9

Simplify

- 2k = 16

Divide by -2 on both sides to isolate the variable, then simplify once more.

- 2k/ -2 = 16/ -2

k = 16/ -2

k = -8

8 0

2 years ago

Read 2 more answers