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lara [203]
3 years ago
5

Which of the following expressions are equivalent? Justify your reasoning.. . a.4√x3. . 1. x−1. . b.10√x5•x4•x2. . c.x. 1. 3. •x

. 1. d.3. •x. 1. 3.
Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
A ) \sqrt[4]{ x^{3} } = x^{3/4}
B ) \frac{1}{ x^{-1} } = x
C ) \sqrt[10]{ x^{5} * x^{4}* x^{2}  } = \sqrt[10]{ x^{11} }= x^{11/10}
D ) x^{1/3} * x^{1/3} * x^{1/3} = x
Therefore: B = D
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Samuel surveys 15 students at his school and asks them: "How many candies per day do you usually eat?"
shepuryov [24]

Answer:

Minimum number of candies:

0

Maximum number of candies:

13

Range:

13

Median number of candies:

4

Interquartile range:

5

Step-by-step explanation: There u go

6 0
3 years ago
WILL GIVE BRAINLIEST! BUT YOU MUST EXPLAIN<br><br> explain clearly ...
aleksandr82 [10.1K]

Answer:

D

Step-by-step explanation:

Add all numbers then divide by 6 (Add all numbers including 94 then divide by six to get your answer)

5 0
2 years ago
Read 2 more answers
What is the square root of m^6?
Nastasia [14]
Answer:
If m is nonnegative (ie not allowed to be negative), then the answer is m^3
If m is allowed to be negative, then the answer is either |m^3| or |m|^3

==============================

Explanation:

There are two ways to get this answer. The quickest is to simply divide the exponent 6 by 2 to get 6/2 = 3. This value of 3 is the final exponent over the base m. Why do we divide by 2? Because the square root is the same as having an exponent of 1/2 = 0.5, so
sqrt(m^6) = (m^6)^(1/2) = m^(6*1/2) = m^(6/2) = m^3
This assumes that m is nonnegative. 

---------------------------

A slightly longer method is to break up the square root into factors of m^2 each and then apply the rule that sqrt(x^2) = x, where x is nonnegative

sqrt(m^6) = sqrt(m^2*m^2*m^2)
sqrt(m^6) = sqrt(m^2)*sqrt(m^2)*sqrt(m^2)
sqrt(m^6) = m*m*m
sqrt(m^6) = m^3
where m is nonnegative

------------------------------

If we allow m to be negative, then the final result would be either |m^3| or |m|^3. 

The reason for the absolute value is to ensure that the expression m^3 is nonnegative. Keep in mind that m^6 is always nonnegative, so sqrt(m^6) is also always nonnegative. In order for sqrt(m^6) = m^3 to be true, the right side must be nonnegative.

Example: Let's say m = -2
m^6 = (-2)^6 = 64
sqrt(m^6) = sqrt(64) = 8
m^3 = (-2)^3 = -8
Without the absolute value, sqrt(m^6) = m^3 is false when m = -2

4 0
3 years ago
Put these in order from least to greatest 0.5, -3/2, -1 1/3, - 2.25<br> Please help
makvit [3.9K]

Answer:

-11/3, -2.25, -3/2, 0.5

Step-by-step explanation:

4 0
3 years ago
A psychologist treats 16 patients and records the number of sessions required to complete a behavioral therapy treatment for eac
RSB [31]

Hence, the standard deviation for these data is 7.1 sessions

In statistics, the standard deviation is a measure of the volatility or variance of a set of values. [1] A low standard deviation indicates that the values ​​tend to be close to the mean of the set (also known as the mean), and a high standard deviation indicates that the values ​​are more widely distributed. indicate.

Standard deviation can be abbreviated as SD, and in mathematical texts and equations, it is most commonly represented by the Greek lower σ (sigma) for population standard deviation or the Latin letter s for sample standard deviation. It is a target.

The standard deviation of a random variable, sample, population, dataset, or probability distribution is the square root of its variance. It's algebraically simple, but it's actually less robust than mean absolute deviation. A useful property of standard deviation is that, unlike variance, it is expressed in the same units as the data.

Expression

\ sigma = {\ sqrt {\ frac {\ sum (x_ {i}-{\ mu}) ^ {2}} {N}}}

\ sigma = Population standard deviation

N = size mother Population

x_i = Arbitrary value from population

\ mu = Population mean

Learn more about standard deviation   here: brainly.com/question/475676

#SPJ4

4 0
1 year ago
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