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Ipatiy [6.2K]
2 years ago
9

( √8/3 - √24 + √50/3) . √6

Mathematics
2 answers:
vodka [1.7K]2 years ago
5 0

Answer:

6(3√3-2)

Step-by-step explanation:

(√8/3 - √24 + √50/3) . √6

(√8/3 - 2√6 + 25√2/3) . √6

(2√2/3 - 2√6 + 25√2/3) . √6

(27√2/3 - 2√6) . √6

(27√12/3 - 12)

9√12-12

√12(9-√12)

2√3(9-2√3)

6(3√3-2)

vodomira [7]2 years ago
3 0

Answer:

  • 2

Step-by-step explanation:

( \sqrt{8/3}  - \sqrt{24}  + \sqrt{50/3} )* \sqrt{6} =\\\sqrt{48/3} - \sqrt{144} + \sqrt{300/3} =\\\sqrt{16} - 12 + \sqrt{100} =\\4 - 12 + 10 =\\2

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The measures of the angles of a triangle are shown in the figure below. Solve for x.
ArbitrLikvidat [17]

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

3 0
3 years ago
a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch describe the dimensions of the card using the unit cub
labwork [276]
Since the carton can hold 1000 units of the cubes.

Each unit of cube = 1inch * 1inch *1inch = 1inch³

Total volume = 1000 * 1inch³ = 1000 inch³

To get the dimension:  The carton would take the shape of a cube.

Let each side be x.

x*x*x = 1000

x³ = 1000      Take the cube root of both sides.

∛x³  = ∛1000

x =  10

The dimension of the carton is 10 inches by 10 inches by 10 inches
7 0
2 years ago
The number of gallons of carbonated soft drink consumed per person annually is normally distributed with mean 47.5 and standard
8_murik_8 [283]

Answer:

P(45

And we can find this probability with the following difference:

P(-0.714

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.714

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:

X \sim N(47.5,3.5)  

Where \mu=47.5 and \sigma=3.5

We are interested on this probability

P(45

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(45

And we can find this probability with the following difference:

P(-0.714

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.714

5 0
3 years ago
What does s equal?pls help me plsss.
Archy [21]

Answer:

s< -7/11

Step-by-step explanation:

6 0
3 years ago
Which is the exponential form of the expanded form shown?
Evgen [1.6K]

Answer: 4^2/5 is your main answer and pls mark me as brainiest

Step-by-step explanation:

7 0
2 years ago
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