Answer:
0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Step-by-step explanation:
We solve this question treating these probabilities as Venn sets.
I am going to say that:
Event A: Requesting automatic transmission
Event B: Requesting built-in GPS
90% of all buyers request automatic transmission
This means that 
82% of all buyers request built-in GPS
This means that 
77% of all buyers request both automatic transmission and built-in GPS.
This means that 
What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
This is
, which is given by:

So

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Answer:
3:4
Step-by-step explanation:
8/6=4/3
12/9=4/3
16/12=4/3
Answer:
a. 9.5x + 6.5(x+c) < 8 when c>0
b. Must be one child more than the no. of adults.
Step-by-step explanation:
For Cinema 1:
for adult = $9.50
for child = $6.50
For Cinema 2:
Per person regardless of age = $8.00
First of all, we will find out the condition when per person rates in both cinema are equal.
Assume x = no. of adults
y = no. of children
Rate per person in Cinema I = Rate per person in Cinema II
(9.5x + 6.5y)/(x+y) = 8
9.5x + 6.5y = 8(x+y)
9.5x + 6.5y = 8x + 8y
9.5x-8x = 8y-6.5y
=> x = y
So rates are equal when no. of adults equals no. of children
For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8
Hence we form an inequality when y = x+c and c > 0
9.5x + 6.5(x+c) < 8 when c>0
Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.
What type of question is this
Answer:
22
Step-by-step explanation:
5x
5 * 2 = 10
10 + 12 (because 12 more)
=22