The times for completing one circuit of a bicycle course are normally distributed with a mean of 72.5 minutes and a standard deviation of 6.5 minutes. An association wants to sponsor a race but only wants the top 25% of riders included. It a trial run, what should be the cutoff time?

76.881 minutes

Step-by-step explanation:

If we look for the value of 25% in the normal distribution table, it corresponds to z = - 0.674

I mean:

P( Z < - 0.674) = 0.25

Now, we know that the formula in this case would be

cut off time = m - z*sd

where m is the mean and sd is the standard deviation.

replacing these values we have left:

cut off time = 72.5 - (-0.674)*6.5

cut off time = 76.881

Therefore the time limit would be 76.881 minutes

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step-by-step explanation:

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event