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noname [10]
2 years ago
8

Simplify Sqrt 3 ( sqrt 6 + sqrt 15) Pls explain how u did it!

Mathematics
1 answer:
frozen [14]2 years ago
8 0

Answer:

= 3 (\sqrt{2}  +\sqrt{5})

Step-by-step explanation:

\sqrt{3} (\sqrt{6}*\sqrt{15}  )

When you have to simplify an expression, always try to find a common number, even if it isnt the solution to a problem is always a good strategy.

Here the 3 numbers are multiple of 3. So your first idea should be to do something with sqrt 3

\\ \sqrt{3} (\sqrt{2}\sqrt{3}  +\sqrt{5} \sqrt{3} )\\= \sqrt{3} ((\sqrt{2}  +\sqrt{5}) \sqrt{3} )\\= \sqrt{3} (\sqrt{3}) (\sqrt{2}  +\sqrt{5}) \)\\= 3 (\sqrt{2}  +\sqrt{5})

In this case it works, sometimes it doesnt, but its always a good start point

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xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 48°.
ratelena [41]

Answer:

=3501 yards.

Step-by-step explanation:

The three ships form a triangle.  From the Voyager the angle between the Norman and the Gladstone=180-(55+48)=77°

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Then, the distance between Norman and voyager is g

g/sin G=v/ Sin V

4590/Sin 77=g/Sin 48

g=(4590 Sin 48)/Sin 77

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The distance between the Norman and the voyager= 3501 yards.

3 0
3 years ago
Point Z is the incenter of ΔWXY.
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Answer:

2,4,5 for edg

Step-by-step explanation:


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Answer:

150 m²

Step-by-step explanation:

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114 + 36 = 150 m²

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3 years ago
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