1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
3 years ago
5

Is sqrt(25a^2/4) the same as sqrt(25a^2)/sqrt(4)?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
6 0
LHS\\ \\ =\sqrt { \frac { 25{ a }^{ 2 } }{ 4 }  } \\ \\ ={ \left( \frac { 25{ a }^{ 2 } }{ 4 }  \right)  }^{ \frac { 1 }{ 2 }  }

\\ \\ =\frac { { \left( 25{ a }^{ 2 } \right)  }^{ \frac { 1 }{ 2 }  } }{ { 4 }^{ \frac { 1 }{ 2 }  } } \\ \\ =\frac { \sqrt { 25{ a }^{ 2 } }  }{ \sqrt { 4 }  } \\ \\ =RHS
xenn [34]3 years ago
5 0
Yes, because \sqrt{\dfrac{a}{b}}=\dfrac{\sqrt a}{\sqrt b}
You might be interested in
I need help wit dis plz
Valentin [98]

Answer:

Bottom left

Step-by-step explanation:

It does not make a straight line

6 0
2 years ago
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta
nikklg [1K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • 1,190 adults were asked, hence n = 1190
  • In fact 62% of all adults favor balancing the budget over cutting taxes, hence p = 0.62.

The mean and the standard error are given by:

\mu = p = 0.62

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141

The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.59 - 0.62}{0.0141}

Z = -2.13

Z = -2.13 has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
What is -3y(y-8)(2y+1)=0
Marta_Voda [28]

Step-by-step explanation:

(-3y^2+24y)(-6y^2-3y)

open the bracket and collect the like terms

-3y^2-6y^2+24y-3y

-9y^2+21y

7 0
3 years ago
Write as a numerical expression: “ Six less than twice a number is four “
VladimirAG [237]

Answer:

2x - 6 = 4

Step-by-step explanation:

Firstly, let's assume the number is x

Then, twice the number is 2 times x = 2x

6 less than twice the number is four

2x - 6 = 4

2x - 6 + 6 = 4 + 6

2x = 10

2x/2 = 10/2

x = 5

6 0
3 years ago
Please help <br> What is the slope of a line that is parallel to the line shown?
9966 [12]
4/6 and (0,1) is the answers
4 0
3 years ago
Read 2 more answers
Other questions:
  • Workers are going to load 12 crates of cantaloupes onto a freight elevator. Each crate of cantaloupes contains 10 boxes of canta
    9·2 answers
  • 1. Yasmine earns $0.25 for each cup of lemonade she sells.
    6·1 answer
  • Approximate the square root to the nearest integer (-√29)
    9·1 answer
  • Solution to this system of linear equation <br> -6x=48-6y<br> -4x=50-6y
    11·1 answer
  • Original price $45.00, Markdown 44%
    10·2 answers
  • A square that has a side measurement of 7 inches has an area of: *
    6·2 answers
  • What is 3 more than -5 ?<br><br><br><br> plsssss answer i will mark as brilliant
    10·2 answers
  • Exam
    9·1 answer
  • Which of the following correlation coefficients represents the strongest linear correlation?
    14·1 answer
  • I need help it needs to be done today but i dont know the answer​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!