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kobusy [5.1K]
3 years ago
12

After reading 7/9 of a book, 40 pages are left. Find the total number of pages in the book​

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

180 pages

Step-by-step explanation:

let x be the number of pages in the book , then

\frac{7}{9} x + 40 = x ( multiply through by 9 to clear the fraction )

7x + 360 = 9x ( subtract 7x from both sides )

360 = 2x ( divide both sides by 2 )

180 = x

The total number of pages in the book is 180

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Race times at the local monthly 5k run are normally distributed, with a mean time of 32 minutes and a standard deviation of 4 mi
galina1969 [7]

Answer:

68%

Step-by-step explanation:

The mean is 32 minutes, and the standard deviation is 4 minutes.

28 is 1 standard deviation below the mean, and 36 is 1 standard deviation above the mean.

According to the empirical rule, 68% of a normal distribution is between -1 and 1 standard deviations.  95% is between -2 and 2 standard deviations.  99.5% is between -3 and 3 standard deviations.

So the answer is 68%.

7 0
4 years ago
A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706
nikitadnepr [17]

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

4 0
3 years ago
3х 4 = 3<br><br>what is the value of x?​
lord [1]

Answer:

1/3

Step-by-step explanation:

transfer 4 to the other side then the sign will be minus

then divide 1 by 3

5 0
3 years ago
Read 2 more answers
What is the nth term rule of the linear sequence below?
Katena32 [7]

Answer:

4n -13

Step-by-step explanation:

notice that the difference between the adjacent terms is 4.

nth term is given by:

nth term = first term + (n-1) × difference -n is any number

= -9 + (n-1) × 4

= -9 + 4n -4

= 4n -13

6 0
3 years ago
3/5 ÷ 1 1/4 =<br> (20 points)
Anna11 [10]

3/5 ÷ 1 1/4 = 0.48

0.48 will be your anwer


7 0
3 years ago
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