Answer:
The ladder reaches 
Step-by-step explanation:
In the first case we have

In second case let the height be 
We have

We know that

Substituting

The ladder reaches 
the inequality symbol with a line underneath, u would have to color in the dot
R = 14
s = 11
2(14)+2(11)=50
28+22=50
2(14) - 11 =17
28 - 11 =17
Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:


Z = -0.1
Z = -0.1 has a p-value of 0.4602.
1 - 0.4602 = 0.5398.
0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
The first one: y - 2 = -5(x - 2)
Step-by-step explanation: