Answer:
The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.
Step-by-step explanation:
We take the estimate from the website, and expand for all buyers, to find the proportion that use their smartphones.
400 users of the website were randomly sampled from the existing database and 180 were found to have used their smart phones.
180/400 = 0.45
The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.
Answer:
645320
Step-by-step explanation:
Given: 6_5_2_
If a multiplication sign is placed between the second and third digit, and an equal sign is placed between the third and fourth digit, then
6_ × 5 = _2_
The passcode contains 6 DIFFERENT digits, so we know the missing numbers cannot be 6, 5, or 2.
So, do a trial and error session of multiplying 5 by numbers it could possibly be (60, 61, 63, 64, 67, 68, 69).
64 × 5 = 320. It is the only equation that is both correct and matches the digits given, so the missing digits are 4, 3, and 0. Barry's passcode is 645320.
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
44 is the answer to 4 2/5 times 10.
