Hillel is juggling flaming torches to raise money for charity. His initial appearance raises $500, and he raises $15 for each mi
2 answers:
Answer:
Step-by-step explanation:
Let R be the amount of money Hillel raises is a function of t, the length of his performance in minutes.
We have been given that Hillel raises $15 for each minute of juggling performance. This means that change in amount of money with every minute of juggling performance is 15, so slope of our line will be 15 and money raised in t minutes of performance will be 15t.
His initial appearance raises $500, so 500 will be our y-intercept.
The total money raised by Hillel after t minutes of juggling performance will be: .
Since we know that line of an equation in slope-intercept form is: , where,
m = slope of line,
b = y-intercept.
We are also given that R is a function of t, so substituting our given values in slope-intercept form of equation we will get our function formula as:
Therefore, the function gives the amount R of money Hillel raises in t minutes of juggling performance.
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Answer:
The probability that he picked 2 purpled socks is <u>0.33</u>.
Step-by-step explanation:
Given:
Number of purple socks,
Number of orange socks,
Two socks are picked without replacement.
Now, total number of socks,
Probability of picking the first cap as purple cap is given as:
Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.
Therefore, probability of picking the second cap as purple cap is given as:
Now, probability that both the picked caps are purple is given by their probability product. This gives,
Therefore, the probability that he picked 2 purpled socks is 0.33