Given: BDBA = BEBC Prove: DE ∥ AC

Statements: Reasons:

1) BDBA = BEBC 1) Given

2) ∠DBE ≅ ∠ABC 2) Reflexive Property

3) ΔDBE ~ ΔABC 3) SAS

4)

Which statement completes step 4 of the proof?

∠BED ≅ ∠BAC

∠BDE ≅ ∠BCA

∠BCA ≅ ∠BAC

∠BED ≅ ∠BCA

Ineed or else im in trouble need a random sample of 240 park users were asked if they go to the park more often on weekdays or on the weekend. the results are shown in the table. weekdays weekend male (50) (10) female (150) (30) based on the data in the table, select correct or incorrect for each statement. correct or incorrect 1.the males go to the park more often on the weekend. 2.the females go to the park more often on weekdays. 3.for the participants in the survey, gender affects which days of the week a person goes to the park.

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above