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Cloud [144]
2 years ago
5

What is 528−−√+63−−√528+63 in simplest radical form?

Mathematics
2 answers:
Montano1993 [528]2 years ago
6 0

Answer: 13\sqrt{7}

Step-by-step explanation:

In the simple radical form there are no square root is remain to find.

Since, the given expression,

5\sqrt{28} + \sqrt{63}

5\sqrt{4\times 7} + \sqrt{9\times 7}

5\sqrt{4} \times \sqrt{7} + \sqrt{9}\times \sqrt{7}

5\times 2 \times \sqrt{7} + 3\times \sqrt{7}

10 \sqrt{7} + 3\sqrt{7}

(10 + 3)\sqrt{7}

13\sqrt{7}

Since, we do not need to find further square root of 7.

Thus, the required radical form of 5\sqrt{28} + \sqrt{63} is 13\sqrt{7}.

Rufina [12.5K]2 years ago
3 0

Answer:

13\sqrt{7}

Step-by-step explanation:

5\sqrt{28} +\sqrt{63}

To simplify the given expression we simplify each radical

5\sqrt{28} = 5\sqrt{4*7} = 5*2\sqrt{7} =10\sqrt{7}

\sqrt{63} = \sqrt{9*7} =3\sqrt{7}

5\sqrt{28} +\sqrt{63}

10\sqrt{7}+3\sqrt{7}

13\sqrt{7}

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in a random sample of 200 people, 154 said that they watched educational television. fine the 90% confidence interval of the tru
melisa1 [442]

Answer:

[0.7210,0.8189] = [72.10%, 81.89%]

Step-by-step explanation:

The sample size is  

n = 200

the proportion is

p = 154/200 = 0.77

<em>Since both np ≥ 10 and n(1-p) ≥ 10 </em>

<em>We can approximate this discrete binomial distribution with the continuous Normal distribution. As the sample size is large enough, not applying the continuity correction factor makes no significant  difference. </em>

The approximation would be to a Normal curve with this parameters:

<em>Mean </em>

p = 0.77

<em>Standard deviation </em>

\bf s=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.77*0.23}{200}}=0.0298

The 90% confidence interval for the proportion would be then  

\bf  [0.77-z^*0.0298, 0.77+z^*0.0298]

where \bf z^* is the 10% critical value for the Normal N(0,1) distribution , this is a value such that the area under the N(0,1) curve outside the interval \bf [-z^*,z^*] is 10%=0.1

We can either use a table, a calculator or a spreadsheet to get this value.

In Excel or OpenOffice Calc we use the function

<em>NORMSINV(0.95) and we get a value of 1.645 </em>

The 90% confidence interval for the proportion is then

\bf  [0.77-1.645^*0.0298, 0.77+1.645^*0.0298]=[0.7210,0.8189]

This means there is a 90% probability that the proportion of people who watch educational television is between 72.10% and 81.89%

If the television company wanted to publicize the proportion of viewers, do you think it should use the 90% confidence interval?

Yes, I do.

5 0
2 years ago
In a necklace the ratio of yellow beads to blue beads is 3:1. What percentage of beads are yellow?
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3 yellow beads and 1 blue bead
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2 years ago
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A woman's weekly salary is increased from $350 to $380. The percent of increase is most nearly
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Find the amount of the difference and then divide it by the original amount:


380 - 350 = 30


30 / 350 = 0.0857 = 8.6% increase.  Round the answer as needed.



3 0
2 years ago
A sapling, or young tree, is planted in a garden. After 3 years, it is 180 cm tall. After 7 years, it is 368 cm tall. How tall w
cestrela7 [59]
548cm tall because if you add 180 to 368 it is 548.
3 0
1 year ago
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

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1 year ago
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