The number of customers at Pumpkin PiBakery depends on the price of the pie. Market research says that the number of customers can be estimated by ()=110−4.4,where p is the price of a pie.

Step-by-step explanation:

To find;

a) The number of customers that will be there if the bakery charges $10 per pie

b) To determine how much money (revenue) the bakery will make at that price if one customer buys only one pie.

So; given the function:

C(p) = 110 - 4.4 p

where

p = 10

C(10) = 110 - 4.4(10)

C(10) = 110 - 44

C(10) = 66

Thus, when the bakery charges $10, the number of customers is 66.

The revenue now when each customer purchase only one pie is:

= $66 × 10

= $660

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560