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oksano4ka [1.4K]
2 years ago
14

Hannah loves to read. She read 2 pages of a book in a bookstore before she bought it. She graphs her progress on the book since

she bought it and continued reading it.
What is her rate of change?

1 page per minute
3 pages per minute
2 pages per minute
8 pages per minute

Mathematics
1 answer:
Kisachek [45]2 years ago
6 0

The answer is: <em>2 pages per minute</em>

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Solve for X, please show work!
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Answer:

the solution set consists of {x < -2 ∪ x > 10/3}

Step-by-step explanation:

|3x - 2| > 8 is equivalent to the following set of inequalities:

1) 3x - 2 > 8

and

2) -(3x - 2) > 8

In case 1, above, add 2 to both sides, obtaining 3x > 10, or x > 10/3.

In case 2, above, carry out the indicated multiplication first:

-3x + 2 > 8.  Next, subtract 2 from both sides:  -3x > 6.

Next, divide both sides by -3, remembering to reverse the direction of the inequality sign:  x < -2.

Thus, the solution set consists of {x < -2 ∪ x > 10/3}

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Step-by-step explanation:

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3 years ago
Suppose the rate of type II diabetes in 40- to 59-year-olds is 7% among Caucasians, 10% among African-Americans, 12% among Hispa
melomori [17]

Answer:

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

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5% among Asian-Americans.

The ethnic distribution of Houston is:

30% Caucasian

25% African-American

40% Hispanic

5% Asian-American

What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?

P = P_{1} + P_{2} + P_{3} + P_{4}

P_{1} is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.

P_{1} = 0.07*0.30 = 0.021

P_{2} is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.

P_{2} = 0.1*0.25 = 0.0215

P_{3} is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.

P_{3} = 0.12*0.40 = 0.048

P_{4} is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.

P_{3} = 0.05*0.05 = 0.0025

P = P_{1} + P_{2} + P_{3} + P_{4} = 0.021 + 0.0215 + 0.048 + 0.0025 = 0.093

The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.

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Answer:

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Considering that she reads 20 pages a day she will accomplish her reading on day 5

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