Answer:
-1
Step-by-step explanation:

Once we have an absolute value, we know that







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:
160 children
Step-by-step explanation:
We can get this solution by working backwards in the equation.
First, we can treat the total number of strudents who play tennis as 't'. Giving us the equation: 8 = .25(t) . Solving this we get that there are 32 tennis players.
Next, we have to derive the total number of children in the sports club. Setting up 'x' as the total number of children, I get the equation 32 = .2(x) . Which leads us to the solution of 160 children in the sports club.
We can put it into point slope form first, y-y1=m(x-x1), where m is the slope and (x1,y1) is any point on the line.
y--7=(-2/3)(x-0)
y+7=-2x/3, slope intercept form is y=mx+b, so we simply need to solve for y.
y=-2x/3-7