Answer:
0.33
Step-by-step explanation:
Given the following :
P(speeding) = p(s) = 0.75
P(being stopped) = p(t)
P(speeding and gets stopped) = p(s n t) = 0.25
Find the probability that he is stopped, given that he is speeding is written as P(t | s) ;
P(t | s) = p(s n t) / p(s)
P(s n t) = 0.25
P(s) = 0.75
Hence,
P(t | s) = 0.25 / 0.75
P(t | s) = 0.33
Answer:
x=3
Step-by-step explanation:
5x+9 = 24
Subtract 9 from each side
5x+9-9 = 24-9
5x = 15
Divide each side by 5
5x/5 = 15/5
x =3
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.

Multiply both sides by 100.


Divide both sides by 50.


The amount invested at 7% is
.
The amount invested at 8% is

The amount invested at 9% is

Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
The central angles are equal...360/n in this case n=6 so the angles are all 60 degrees...
The arc lengths are the circumference of the pizzas. 4p" and 14p" respectively.
If you were to draw another line connecting the two top corners, you would make an equilateral triangle.
An equilateral triangle has 3 60 degree angles.
The angle = 60 degrees.