The y -intercepts, P and Q, of two perpendicular lines

intersecting at the point A(6, 8) have a sum of zero. What is the

area of △APQ?
A) 45 B) 48 C) 54 D) 60 E) 72

Answer:

A) 45

Explanation:

1/2×b×h

1/2×6×8

1×6×4

=24+21=45

Answer:

D (60)

Explanation:

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The managers of a brokerage firm are interested in finding out the effects of number of new clients that a broker brings into the firm on the sales generated by them. They sample 10 brokers and identify the number of new clients they have enrolled in the last year and their sales amounts in thousands of dollars. These data are presented in the table that follows:
Broker Clients(X) Sales(Y) Calculation shows that
1. 27 52 n=10 2. 11 37 X = 260 3. 40 64 Y= 480 4. 33 55 X2= 7594 5 15 29 Y2= 24276 6. 15 34 XY =13377 7. 25 58 SSX =(X-Xbar)2 =834 8. 36 59 SST=(Y-ybar)2 = 1236 9. 28 44 SSE = (Y –Yhat)2=271.241
10. 30 48 (i) Assuming a linear relationship, what is the prediction for the amount for sales (in $1,000s) for a person who brings 25 new clients into the firm? (ii) Calculate the standard error of estimate and interpret the result. (iii) Test at 5% level of significance that the number of new clients that the broker have enrolled in the last year is significant predictor of their sales amount.

Select the correct answer.
A leading software company has obtained a patent for its latest technology, which it uses in smartphones. What could be a possible effect of this
patent?
ОА. .
Other companies might not produce smartphones,
OB. .
Other companies are free to use this technology.
Ос.
Other companies cannot use the same technology.
OD
Other companies can use the technology and modify it.

Chengdu is closer to the equator than Harbin. Which location has a colder air temperature and why?