A small auditorium has 10 rows of seats. There are 12 seats in the row and 16 seats in the second row the number of seats in a r
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Answer:
95.15%
Step-by-step explanation:
We have that the mean (m) is equal to 20, the standard deviation (sd) 3
They ask us for P (x <25)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (25 - 20) / (3)
z = 1.66
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <1.66) = 0.9515
Which means that the probability that it arrives before 25 minutes is 95.15%
The Z-score is calculated by the formula below
Step 2: Substitute the given parameters in the formula
Hence, the z-score of a person who scored 145 on the exam is -0.5
When a shape is rotated, it must be rotated around a point.
<em>See attachment for the image of each rotation.</em>
To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.
The top coordinates of the X shape are:
For 90 degrees counterclockwise rotation, the rule is:
So, we have:
For 180 degrees rotation, the rule is:
So, we have:
For 270 degrees counter rotation, the rule is:
So, we have:
See attachment for the image of each rotation
Read more about rotations at:
