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Fantom [35]
3 years ago
9

Alexander purchased a computer on sale. The original price was $1,200. The sale price was 5/6 of the original price. How much di

d Alexander pay for the computer?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
6 0
1160 dollars if you take 5/6 away from 1200 you get 40 subtract 40 from 1200 and you get your answer

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It costs you $10 to draw a sample size n=1 and measure the attribute of interest. you have a budget of $1,200
kicyunya [14]

<span>a.       </span>Do you have sufficient funds to estimate the population mean for the attribute of interest with a 95% confidence interval 4 units width? Assume that sd= 12

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.96)^2*(12)^2/ (2)^2

n= 138.297 rounded up to 139

<span>There is not enough funds for this one since you’ll need 139 pieces and it costs 10 a piece, you’ll need 1390.</span>

b.      90% confidence interval

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.645)^2*(12)^2/ (2)^2

n=98

There is enough funds since 98 pieces for 10 a piece is equal to 980.

6 0
3 years ago
Please calculate this limit <br>please help me​
Tasya [4]

Answer:

We want to find:

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}

Here we can use Stirling's approximation, which says that for large values of n, we get:

n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n

Because here we are taking the limit when n tends to infinity, we can use this approximation.

Then we get.

\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} =  \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}

Now we can just simplify this, so we get:

\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\

And we can rewrite it as:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}

The important part here is the exponent, as n tends to infinite, the exponent tends to zero.

Thus:

\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n} = \frac{1}{e}*1 = \frac{1}{e}

7 0
3 years ago
True/False
pantera1 [17]

Answer:

true

Step-by-step explanation:

7 0
2 years ago
What are the factors in the expression 6(x+5)
madreJ [45]
The answer is 30+6x you would just multiply 6 by 5 then put 6 next to x.
8 0
3 years ago
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Anettt [7]

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

y - 8 = 12x

5 0
2 years ago
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