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:
a) 7 : 20
b)There will be 35 people with blue eye
Step-by-step explanation:
a)
This question is asking you the ratio of the number of people with blue eyes to the total number of people.
So seven people with blue eyes to the total number of 20 people.
7 : 20
b)
you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.
so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.
so then you use 5 times 7, then you got the number 35.
That means, there are 35 people with blue eyes in 100 people.
Answer: There were 741 books in the library a year later.
Step-by-step explanation:
Given: Total books in library = 570
Number of books increased by 30%.
One year later, Number of books in the library = (Total books in library) + 30% x (Total books in library)
= 570 + (0.30) x (570)
= 570 (1+0.30)
= 570 (1.30)
= 741
Hence, there were 741 books in the library a year later.
The answer is 157 because you do 12 x 16 which is the shaded region and the unshaded region and you get 192. Then you do 7 x 5 which is not the shaded region and it equals 35.Now you do 157-35 and then you get 157
Answer:
The figure is attached below.
The value of x = 20.
Step-by-step explanation:
Given:
See the Diagram below
T-R-W is the Line and
S-R-V is the Line intersecting each other at point R making angles in clockwise as below
m∠ SRW = blank
m∠ WRV = 3x
m∠ VRT = blank
m∠ TRS = ( x + 40 )
To Find:
x = ?
Solution:
Vertical Opposite Angles Theorem:
Vertically Opposite Angles are the angles opposite each other when two lines cross and are always EQUAL.
Here in the figure
m∠ WRV and m∠ TRS are Vertically Opposite Angles
∴ m∠ WRV = m∠ TRS
∴ 3x = (x +40)
∴ 3x -x = 40
∴ 2x = 40
∴ 
The value of x = 20.
