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cestrela7 [59]
3 years ago
7

Write an explicit formula for this table

Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0
The explicit formula would be g_n=5(3)^{n-1}.

This is a geometric sequence, since we are multiplying each term by a constant to find the next term.

The explicit formula for a geometric sequence is given by 
g_n=g_1(r)^{n-1},
where g₁ is the first term and r is the common ratio, or the number that is multiplied to get the next term.

Our first term is 5, and the common ratio is 3.
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The graph below shows the distance in miles, m, hiked from a camp in h hours.
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Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = \frac{2-0}{1-0}=2

For hour 2 to hour 3:

rate of change = \frac{4.5-3.5}{3-2}=1

For hour 1 to hour 2:

rate of change = \frac{3.5-2}{2-1}=1.5

For hour 3 to hour 4:

rate of change = \frac{5-4.5}{4-3}=0.5

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Find the expected value of the winnings
blondinia [14]
<h3>Answer:  4</h3>

============================================================

Explanation:

Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.

Example: for the first entry of this row, have 2*0.45 = 0.9

Once that third row is filled out, you add up everything in that row. That will lead to the expected value.

The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4

Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.

Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).

4 0
3 years ago
Choose the group of one-inch cubes that forms a rectangular prism that has the given dimensions. Then find the surface area of t
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Answer:

Correct group: fourth image

Surface area = 32 in2

Step-by-step explanation:

The dimensions required is 2 x 3 x 2, so in one dimension we need 2 cubes, in a second dimension we need 3 cubes, and in the third dimension we need 3 cubes.

In the first image, we have a 2 x 3 x 3 prism.

In the second image (to the right of the first one), we have a 2 x 4 x 1 prism.

In the third image (below the first one), we have a 3 x 4 x 1 prism.

In the fourth image, we have a 2 x 3 x 2 prism, so this is the correct option.

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6 0
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