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kykrilka [37]
2 years ago
14

Ellen is downloading a file. After 2 minutes, there are 38.4 megabytes left to download. After 8 minutes, there is only 9.6 mega

bytes left to download. What is the size, in megabytes, of the file.?
Mathematics
2 answers:
atroni [7]2 years ago
7 0
Find the average download rate.
(38.4 - 9.6) / (2-8) = -4.8 mb/min

that means in the first 2 min she had downloaded 2(4.8)  = 9.6 mb

38.4 mb left + 9.6 mb already downloaded = 48 mb total
 

Oksana_A [137]2 years ago
3 0

Answer:

The size of the file is of 48 megabytes.

Step-by-step explanation:

8-2 = 6 minutes

38.4 - 9.6 = 28.8 megabytes

As we can see, 28.8 megabytes were downloaded in 6 minutes. Assuming a constanct and non stopped download speed, we can affirm that 4.8 megabytes were download per minute (28.8 / 6 = 4.8). As after 2 minutes, there were 38.4 megabytes left, in order to know the size of the file we have to do the following calculation:

38.4 + (4.8 x 2) = Size of the file

38.4 + 9.6 = 48 megabytes

The size of the file is of 48 megabytes.

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The Hawaiian language has 12 letters: five vowels and seven consonants. Each of the 12 Hawaiian letters are written on a slip of
Murljashka [212]

Answer:

\frac{25}{144}

Step-by-step explanation:

We want to know "probability that first is vowel AND second is vowel"

In probability theory, "AND" means Multiplication.

<em>Essentially we want to figure out probability of first drawn to be vowel and multiply that with probability second drawn is vowel as well.</em>

<em />

There are 5 vowels and total 12 letters, so

P (vowel) = 5/12

<u>For the second draw, there are STILL 12 letters and 5 vowels (since the first drawn is REPLACED)</u>. Hence, probability of 2nd vowel is the same. So:

P (vowel for 2nd draw) = 5/12

<em>Now we multiply them to get:  \frac{5}{12}*\frac{5}{12}=\frac{25}{144}</em>

6 0
2 years ago
Read 2 more answers
A stock has produced returns of 11.9 percent, 5.6 percent, 16.4 percent, and -4.2 percent over the past four years, respectively
EleoNora [17]

The average annual return is

\displaystyle ((1+0.119)(1+0.056)(1+01.64)(1-0.042))^{\frac{1}{4}}-1=\sqrt[4]{1.317687706368}-1\\\\ \approx 7.14\%

8 0
2 years ago
A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
2 years ago
What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?
Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.


The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.


\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}


In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.


\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}

\frac{3 +/- \sqrt{9 + 160}}{-4}

\frac{3 +/- 13}}{4}


Now you separate and get the two separate answers. First the positive.


\frac{3 + 13}}{4}

\frac{16}}{4}

4


Now the negative


\frac{3 - 13}}{4}

\frac{-10}}{4}

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5 0
2 years ago
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yuradex [85]

Answer:

Nina is right: 9 baskets

36: 1 2 3 4 6 <u>9</u> 12 18 36

27: 1 3 <u>9</u> 27

18: 1 2 3 6 <u>9</u> 18

4 0
2 years ago
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