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4 years ago

What is a square root

2 answers:

8 0

It is quite hard to define it but I believe a square root is a number that can be multiplied by itself to give the original number.

2 x 2 = 4 so the square root of 4 is 2

3 x 3 = 9 so the square root of 9 is 3

So a number which is squared produces another number which can be square rooted to get the original number.

iren [92.7K]4 years ago

6 0

There are many kinds of roots
square root
cube root
4th root
5th root
etc

square=2D so it means 2 identical numbers that multiply to get that number so exg
√4=2 or -2 because 2 times 2=4 and -2 times -2=4

cube root=3 identical number that multiply to get that number exg
∛27=3 or -3 because 3 times 3 times 3=27 and -3 times -3 times 3=27

then 4th root=4 number
5th root=5 numbers and so on

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What is the ratio 28 : 4 in it's simplest form?

Lisa [10]

Answer:

7:1

Step-by-step explanation:

28:4=

7(4):1(4)=

7:1

Hope this helps!

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3 years ago

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3 years ago

Simplify 6 - 3(4 - 3x) -3x - 6 9x + 18 9x - 6

svet-max [94.6K]

Answer:

6 (19 x - 2)

Step-by-step explanation:

Simplify the following:

6 - 3 (4 - 3 x) - 3 x - 6×9 x + 18×9 x - 6

-6×9 = -54:

6 - 3 (4 - 3 x) - 3 x + -54 x + 18×9 x - 6

18×9 = 162:

6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6

Grouping like terms, 6 - 3 (4 - 3 x) - 3 x - 54 x + 162 x - 6 = (-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6):

(-3 x - 54 x + 162 x) - 3 (4 - 3 x) + (6 - 6)

-3 x - 54 x + 162 x = 105 x:

105 x - 3 (4 - 3 x) + (6 - 6)

6 - 6 = 0:

105 x - 3 (4 - 3 x)

-3 (4 - 3 x) = 9 x - 12:

9 x - 12 + 105 x

Grouping like terms, 105 x + 9 x - 12 = (105 x + 9 x) - 12:

(105 x + 9 x) - 12

105 x + 9 x = 114 x:

114 x - 12

Factor 6 out of 114 x - 12:

Answer: 6 (19 x - 2)

7 0

3 years ago

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.

Artyom0805 [142]

Answer:

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

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 problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

$X \sim N(75,8)$