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hodyreva [135]
4 years ago
9

Simplify the square root of 6 * the square root of 8

Mathematics
2 answers:
Troyanec [42]4 years ago
4 0

Answer:

Step-by-step explanation:

4√3

denis23 [38]3 years ago
4 0

Answer:

4√3

Step-by-step explanation:

The question is to simplify √6 × √8

Applying surds

√6 can be written as √2 ×√3

and

√8 can be written as √2 × √4

but √4=2

so;

√8 is 2√2

Write the whole question as

√2×√3×2√2

This can be written as

2√2×√2×√3

But you know √2×√2 = √4 =2

So, write as

2×2×√3 = 4√3

4√3 is the simplified form

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We have been given for a normal distribution the mean time it takes to walk to the bus stop is 8 minutes with a standard deviation of 2 minutes. And the mean time it takes for the bus to get to school is 20 minutes with a standard deviation of 4 minutes.

(a) Average time that it would take reach school can be obtained by adding the average times.

8+20 = 28 minutes.

(b) Standard deviation of the trip to school can be found as:

\sigma =\sqrt{2^{2}+4^{2}}=\sqrt{4+16}=\sqrt{20}=4.47

Therefore, standard deviation of the entire trip is 4.47 minutes.

(c) Let us first find z score corresponding to 30 minutes.z=\frac{x-\mu }{\sigma }=\frac{30-28}{4.47}=0.447

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(e) Standard deviation won't change it will remain 4.47

(f) The new probability will be:

z=\frac{x-\mu }{\sigma }=\frac{30-90}{4.47}=0

P(x>30)=P(z>0)=0.5

Therefore, probability will be 0.50.


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