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Radda [10]
3 years ago
7

Use the following information to complete parts I, II and III.

Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

Part I: Use scientific notation to estimate the number of hours in one year

Using the conversion factors

Estimate using scientific notation

31,556,952 seconds = 3.2 *  10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.2 *  10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.2 /3.6 =.88888 (repeating)    

10^7 / 10^2 = 10^5

8.88888 * 10 ^5

8.888 * 10 ^4 hours

Part II: Use scientific notation to calculate the exact number of hours in one year.

 31,556,952 seconds = 3.1556952 *  10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.1556952 *  10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.1556952 /3.6 =.876582    

10^7 / 10^2 = 10^5

.876582 * 10 ^5      

8.76582*10^4 hours

Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.

Part II is an exact answer, where Part I is an estimate.  Both Parts give values in the thousands of hours,  and are both  between 8700 and 8900 hours.  Part I can be done without a calculator where Part II is much harder to do without a calculator.

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Deon buys candy that cost $6 per pound. he will buy at most 7 pounds. write answer as inequality
mamaluj [8]

Answer:

x ≤ 42 dollars

Step-by-step explanation:

Deon will buy at most 7 pounds, and we know that it costs 6 per pound, so we multiply 7 and 6 to get 42. Deon will not buy over 7 pounds, so that means less than or equal to.

4 0
3 years ago
What are the dimensions of a rectangle with an area of 304 and a perimeter of 70?
Hitman42 [59]
Area = 304 cm^2
perimeter = 70
perimeter = 2(l+w)
70 = 2(l+w)
70/2 = l+w
35 = l+w
Now suppose the length would be = x
width would be= 35-x
NOW Area = l*w
304 = x * (35-x)
304 = 35x -x^2
x^2-35x+304 = 0 
use quadratic formula to solve next ok 
<span> 
</span>
5 0
3 years ago
HELP WILL GIVE BRAINLIEST
tatiyna

Step-by-step explanation:

y = x - 4 and y = 4x + 2

=> x - 4 = 4x + 2

=> 3x = -6

=> x = -2

y = x - 4 = (-2) - 4 = -6

The solutions are x = -2 and y = -6.

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!
olga_2 [115]

Answer:

This is complicated

Step-by-step explanation:

UHM

5 0
3 years ago
Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
3 years ago
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