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

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,

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.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

5

step-by-step explanation: