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Finger [1]
3 years ago
14

Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows h

er data. According to the line of best fit, about how many times would the coin land heads up in 100 flips? 48 50 51 53 

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0

Answer:

d 53

Step-by-step explanation:

BaLLatris [955]3 years ago
4 0

Answer:

Option 4 - 53

Step-by-step explanation:

Given : Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data.

To find : According to the line of best fit, about how many times would the coin land heads up in 100 flips?

Solution :

We create the table of coin fairness table

Number of coin flips -  0    10    20    30    40    50    60    70    80    90

Number of heads up - 0    7       12    18      23    30    35    38    42    45

Now, using linear regression calculator,

We get the best line fit for the data

i.e, y = 0.5079x + 2.1455

Now, for heads up in 100 flips we substitute x=100

Graphically we plot the equation and see the point at x=100

The point is (100,52.935)

Or approximately the coin land heads up in 100 flips is 53.

Therefore, Option 4 is correct.

Refer the attached figure.

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Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

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You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

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8 0
3 years ago
On any given day, the number of users, u, that access a certain website can be represented by the inequality 125-4530
Masteriza [31]

Answer:

Step-by-step explanation:

Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.

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Answer:

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Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

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hope it helps you thank you

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