(1) The table shows the number of children per family in a community. No. of
0
1
2
3
4
5
children
No. of
3
5
7
4.
3
2
families
Find the (i) mode (ii) third quartile (iii} If a pie chart were to be drawn for the data,
what would be the sectorial angle representing families with one child.
(2) The graph of the equation Y = AX? + Bx + C passed through the point (0,0), (1,4)
and (2,10) Find the
(i) Value of C.
(ii) Values of A and B.
(iii) Co-ordinates of the other points where the graph cuts the x-axis.

Sam is a waiter at a local restaurant where he earns wages of $5 per hour sam figures that he also eams about $3 in tips for each person he serves sam works 6 hours on a particular day. if n represents the number of people sam serves that day, which of the following functions could sam use to figure ehis total earings for the do o a. en) = 30 o b. en) = 5n+ 18

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?

Which equation represents h for right triangle abc