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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On a recent Summative Assessment, the mean score for the Algebra 1 class was 72 and the standard deviation was 7. See the normal

Andreas93 [3]

<h3>Answer: 65</h3>

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According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.

In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.

Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79

Cut this in half and get (32%)/2 = 16%

16% of the population is in either tail.

16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.

The 16th percentile is the marker where 16% of the population is below that value.

Therefore, the 16th percentile is the value <u> 65 </u>

16% of the class scored less than 65 on the test.

4 0

3 years ago

Elena wants to create a triangle shaped garden that has an area of 36 square feet Name all the different dimensions her triangle

anyanavicka [17]

Answer:

Base = 18 Height = 4 (this is an example)

Step-by-step explanation:

Given that the triangle has an area of 36 square feet, and that the triangle area formula is A=1/2bh (b being the base, and h being the height), we can fill in the formula to get the dimensions.

To find the given numbers, we need to find what numbers are divisible to by 2 to get 36. For instance using the formula A=1/2bh, we can plug in the factors that make up 72 (if you divided it by two you will get 36). Example of this is 18x4, so we can plug it into the equation to prove it through factor trees (feel free to reach out if you have a question about those). Plugging 18 and 4 will give 18x4 divided by 2 = 36.