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siniylev [52]
3 years ago
14

An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard devia

tion of 8. Give the standard error of the mean:______
Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:

The value is  \sigma_{\= x} = 1.789

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  20  

    The sample mean is \= x = 122.5

    The standard deviation is  s =  8

Generally the standard error of the mean is mathematically represented as

       \sigma_{\= x} =  \frac{s}{\sqrt{n} }

=>    \sigma_{\= x} =  \frac{8}{\sqrt{20 } }

=>    \sigma_{\= x} = 1.789

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irakobra [83]
9 Ounces shows the total amout because you need to subtract 21-17
3 0
4 years ago
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Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f.
Alex17521 [72]

The function that is a  tangent to the graph of f is f(x) = (5/4)x^4+60

<h3>What is the concept of integral?</h3>

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

  • 40x + y = 0 is tangent of f(x)
  • slope of the line = -40

therefore, f'(x)|x=a = -40, so only look for a we have:

5a^3 = -40\\a^3 = -8\\a = -2

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60

Therefore,

f(x) = (5/4)x^4+60

See more about tangent at brainly.com/question/401236

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4 0
2 years ago
What is tan(x)-5=0<br> (With steps)
gizmo_the_mogwai [7]
\tan x-5=0
\tan x=5

Now before taking the inverse tangent of both sides, recall that

\tan x=\tan(x\pm\pi)=\tan(x\pm2\pi)=\cdots=\tan(x\pm n\pi)

where n is any integer. This means that when taking the inverse tangent of \tan x, instead of just x, we would end up with

\arctan(\tan x)=\arctan(\tan(x+n\pi))=x\pm n\pi

So after doing so in the equation above, we're left with

x\pm n\pi=\arctan5\implies x=\arctan5\pm n\pi

As n can be any integer, including negative integers, we can simply write

x=\arctan5+n\pi,\,n\in\mathbb Z
8 0
4 years ago
What is 6 x 10 x 400 + 2.5
Lorico [155]

Answer:

24,002.5

Step-by-step explanation:

6*10*400+2.5

60*400+2.5

24,000+2.5

24,002.5

Order of operations :)

3 0
3 years ago
(2.5x10^-10) x (7x10^-6) express your answer in scientific notation
morpeh [17]

Answer:

Hello my friend! The answer is 1.75X10^-15

Step-by-step explanation:

If you multiply 2.5 x7 = 17.5

When we do the product of exponential terms with the same base, we can sum de  exponents. In this case (-10) + (-6) = -16.  

However, to scientific notation, we have to use 1.75

So, the final result wich were 17.5x10-16, will be "1.75x10^-15"

6 0
3 years ago
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