(b) The cubic function of best fit to these data is \( H(x)=0.159 x^{3}-2.320 x^{2}+9.330 x-.2143 \). Use a graphing utility to verify that this is the cubic function of best fit. Use this fun predict the number of major hurricanes that struck between 1961-1970. \( \square \) hurricanes (Round to the nearest integer as needed.)

When two balanced dice are rolled, there are 36 possible outcomes. What is the probability that the sum of the numbers on the dice is 6 or 9 ?

6) Qual é a área de um losango que possui diagonais medindo 20 cm e 25 cm ?

a. Use the definition \( m_{\tan }=\lim _{x \rightarrow a} \frac{f(x)-f(a)}{x-a} \) to find the slope of the line tangent to the graph of \( f \) at \( P \). b. Determine an equation of the tangent line at \( P \). c. Plot the graph of \( f \) and the tangent line at \( P \). \( f(x)=x^{2}+4, P(-5,29) \)

Question Which inequality is true when the value of \( k \) is \( -8 ? \)

Suppose a charitable organization decides to raise money by raffling a trip worth \( \$ 500 \). If 3,000 tickets are sold at \( \$ 1.00 \) each, find the expected net winnings for a person who buys 1 ticket.