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
Andrei [34K]
3 years ago
12

Solve for x b=1/6π n ^2 x

Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

\large\boxed{x=\dfrac{6b}{\pi n^2}}

Step-by-step explanation:

b=\dfrac{1}{6}\pi n^2x\qquad\text{multiply both sides by 6}\\\\6b=\pi n^2x\qquad\text{divide both sides by}\ \pi n^2\neq0\\\\\dfrac{6b}{\pi n^2}=b

You might be interested in
What is the first step in evaluating the expression below?
Ostrovityanka [42]

Answer:

brackets, then Parenthesis then the FIRST Multiplication then the division and then math and sub and so on a so for

Step-by-step explanation:

6 0
3 years ago
Expand the logarithm. log4 (3xyz​)^2
tangare [24]
2<span>(<span>log4</span><span>(3)</span>+<span>log4</span><span>(x)</span>+<span>log4</span><span>(y)</span>+<span>log4</span><span>(z)</span><span>)</span></span>
4 0
3 years ago
Read 2 more answers
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) 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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
An Investment earning Interest at the rate of 10%, compounded continuously, will double in tyears. Find t
garri49 [273]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wtjfavyw

6 0
3 years ago
Find 24 x 23 slove and share
Brrunno [24]

Answer:

Step-by-step explanation:

24 x 23 = 552

20 x 23 = 460

4 x 23 = 92

460 + 92 = 552

4 0
3 years ago
Read 2 more answers
Other questions:
  • For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4
    6·1 answer
  • Lisa made $286 for 13 hours of work. at the same rate, how many hours would she have to work to make $242 ?
    14·1 answer
  • Please help!! In radians, what is the period of the function y = .5cos5x
    7·1 answer
  • Find a positive value of k for which y = \sin(k t) satisfies \frac{d^2y}{dt^2} + 16 y = 0.
    6·1 answer
  • A submarine descended 1500 meters below the surface of the water. It then rose 600 meters and then descended 150 meters. What wa
    15·1 answer
  • Credit card balances follow a nearly normal distribution with a mean of $2,900 and a standard deviation of $860. A local credit
    13·1 answer
  • How many fourths are in three fourths? Please Explain!! Thank You
    10·1 answer
  • Suppose you had x dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially?
    8·2 answers
  • How many lines are determined by two points?<br>A. 2<br>B. infinite<br>C. 1<br>D. 0​
    7·2 answers
  • Heyy! i’ll give brainliest please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!