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skad [1K]
3 years ago
11

I WILL MARK BRAINLIES If √ x has a decimal approximation of 3.4, then x is between which two integers? In your final answer, inc

lude all calculations.
Mathematics
2 answers:
lilavasa [31]3 years ago
6 0
If sqrt x is around 3.4
x=(3.4)(3.4)=11.56
So x is in between 11 and 12 or
11
Hope this can help.
frozen [14]3 years ago
5 0

Answer:

x is between 11 and 12

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In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system
Contact [7]

Answer:

n=206

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.09, we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.09}{2.58})^2}=205.44  

And rounded up we have that n=206

3 0
3 years ago
If s = 1 over 4 unit and A = 80s2, what is the value of A, in square units? square unit(s). (Input whole number only.) (1 point)
9966 [12]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Without solving the equations which answer best describes the solutions.
telo118 [61]
ANSWER:
D. The answers will be different because after distributing the 4 in the first equation it will change the values.

Hope it helps u!
6 0
2 years ago
Consider parallelogram VWXY below.
nirvana33 [79]

Answer:

  • 56°, 84°, 3 units

Step-by-step explanation:

<u>Properties of a parallelogram</u>

  • Two adjacent angles are supplementary
  • Opposite angles are congruent
  • Opposite sides are parallel and congruent

Use the properties to find the required parameters

1) <u>Find m∠YXV</u>

  • m∠YXV + m∠VXW + m∠VWX = 180°
  • m∠YXV + 40° + 84° = 180°
  • m∠YXV = 180° - 124°
  • m∠YXV = 56°

2) <u>Find m∠Y</u>

  • m∠Y = m∠W = 84°

3) <u>Find x</u>

  • 2x = 6
  • x = 6/2
  • x = 3
4 0
2 years ago
Read 2 more answers
23 degrees 20’48 is the same as _degrees.
allochka39001 [22]

Answer:

\large\boxed{23^o20'48''=\left(23\dfrac{26}{75}\right)^o}

Step-by-step explanation:

\text{We know:}\\\\1^o=60'\to1'=\left(\dfrac{1}{60}\right)^o\\\\1'=60''\to1^o=(60)(60'')=3600''\to1''=\left(\dfrac{1}{3600}\right)^o\\\\23^o20'48''\\\\20'=\left(\dfrac{20}{60}\right)^o=\left(\dfrac{1}{3}\right)^o\\\\48''=\left(\dfrac{48}{3600}\right)^o=\left(\dfrac{1}{75}\right)^o\\\\\text{Therefore}\\\\23^o20'48''=23^o+20'+48''=23^o+\left(\dfrac{1}{3}\right)^o+\left(\dfrac{1}{75}\right)^o\\\\=\left(23+\dfrac{1\cdot25}{3\cdot75}+\dfrac{1}{75}\right)^o=\left(23+\dfrac{25}{75}+\dfrac{1}{75}\right)^o=\left(23\dfrac{26}{75}\right)^o

4 0
3 years ago
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