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2 years ago

15

A computer programmer had two files with a total size of 68.76 gigabytes. If one of the files was 35.46 gigabytes, how big is th

e second file?

2 answers:

xz_007 [3.2K]2 years ago

5 0

Answer:

29.3 gb

Step-by-step explanation:

i just subtracted it

Usimov [2.4K]2 years ago

3 0

Answer:

33.3gb

Step-by-step explanation:

68.76-35.46=33.3

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A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s

denpristay [2]

Answer:

For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=40-1=39$

For this case the 95% confidence interval is given (63.5 , 74.4) and we want to conclude about the result. For this case we can say that the true mean of heights for male students would be between 63.5 and 74.4. And the best answer would be:

b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

3 0

2 years ago

Which equation is the inverse of y = 2x2 – 8?

natita [175]

The inverse of the function is $y=\pm \sqrt{\frac{x+8}{2}}$

Explanation:

To find the inverse of the equation $y=2x^{2} -8$ , we need to interchange the variables x and y for the variables y and x.

Thus, the equation becomes

$x=2y^{2} -8$

Now, we shall find the value of y.

Now, adding 8 to both sides of the equation, we have,

$x+8=2y^{2}$

Interchanging the sides,

$2y^{2} =x+8$

Dividing by 2 on both sides,

$y^{2} =\frac{x+8}{2}$

Taking square root on both sides,

$y=\pm \sqrt{\frac{x+8}{2}}$

Thus, the inverse of the function is $y=\pm \sqrt{\frac{x+8}{2}}$

5 0

2 years ago

Tyler reads 2/15 of a book on Monday, 1/3 of it on tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on thus day. If he

kykrilka [37]

The number of pages in the book is 180

<u>Explanation:</u>

The first thing we should do is to convert these fractions to percentage

$Monday = \frac{2}{15} X 100 = 13.33\\\\Tuesday = \frac{1}{3} X 100 = 33.33%\\\\\\Wednesday = \frac{2}{9} X 100 = 22.22%\\\\\\\\$

3/4 of the remainder on thursday:

Thursday: (100 - (13.33 + 33.33 + 22.22) * (3/4) = 23.33%

he still has 14 pages left to read on friday

Friday: [100 - (13.33 + 33.33 + 22.22) ] - 23.33 = 7.77%

Which means that 14 pages represent 7.77% of the book.

Therefore the number of pages of the book is given by:

$=\frac{100}{7.77} X 14\\\\= 180$

Therefore, number of pages in the book is 180

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1 year ago

Which of these ordered pairs is a solution to the inequality y – 2x ≤ –3?

Archy [21]

The answer is D.(1,-1) the reason is -1(y)-2*1(x)=-3 so, -1-2*1 is less than or equal to -3.

8 0

1 year ago

The geometric average of -12%, 20%, and 25% is _________.

Grace [21]

<span>20.28% is the answer</span>

8 0

1 year ago