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klio [65]
2 years ago
15

1. Write 3,876,943,000 using scientific notation.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

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0.06

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The country of Sylvania has decided to reduce the number of its illiterate citizens by \dfrac35
Alex73 [517]

Answer:

<u>P(t) = 9,000 - 5,400t</u>

Correct statement and question:

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Reduction rate in the number of illiterate people in Sylvania annually = 3/5

Number of illiterate people in Sylvania this year = 9,000

2. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.

P(t) = Number of illiterate people in Sylvania this year - (Number of illiterate people in Sylvania this year * Reduction rate in the number of illiterate people in Sylvania annually)

Replacing with the values and variables provided, we have:

P(t) = 9,000 - (9,000 * 3/5t)

<u>P(t) = 9,000 - 5,400t</u>

Now we can calculate P(1), this way:

P(1) = 9,000 - 5,400 * 1

P(1) = 3,600

And we can calculate when there won't be illiterate people in Sylvania, as follows:

P(t) = 9,000 - 5,400t

9,000 - 5,400t = 0

-5,400t = -9,000

t = -9,000/-5,400

t = 1.67 years

t = 1 year and 8 months (0.67 * 12 = 8)

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2 years ago
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Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to pointsdistance. the calculation is: d
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For this case what you should know is that the distance between two points can be thought of as a line. To find the length of this line, you can use the formula:
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 Example,
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 d: 3.0
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2 years ago
Question 6: An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces. Determin
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Answer:

(a) 0.25

(b) 0.944

(c) 0.444

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Step-by-step explanation:

There are six possible outcomes for each die, which means that the number of possible outcomes is:

n=6*6 = 36

(a) In order for each die to show four or more spots they will both have to land on a four, five or six. The probability of this happening is:

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(b) There are only two possible outcomes for which the sum is three (1 and 2, or 2 and 1). The probability of the sum NOT being three is:

P(B) = 1-\frac{2}{36}=0.944

(c) If neither a one or a six must appear, then there are 4 possible outcomes for each die, the probability is:

P(C) = \frac{4*4}{36}=0.444

(d) For each one of the six possible numbers on the first die, there is only one on the second die for which the sum of the spots is 7, totaling six possible ways to sum 7:

P(D) = \frac{6}{36}=0.167

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For a standard normal distribution (µ=0, σ=1), the area under the curve less than 1.25 is 0.894. What is the approximate percent
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Answer:

10.6%

Step-by-step explanation:

Normal curves are symmetrical.  That means that on a standard normal distribution,  the area less than -1.25 is the same as the area greater than +1.25.  The total area under the curve is 1, so:

P = 1 - 0.894

P = 0.106

Approximately 10.6% of the area under the curve lies below -1.25.

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