Answer:
the probability that Jack draws the blue ball is 0.38539
Step-by-step explanation:
Given the data in the question;
box contains
blue balls = 5
red balls = 8
Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement
Now,
on the first attempted;
⇒ ( 8/13) × ( 5/12) = 10/39
on the second attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143
on the third attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287
on the fourth attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287
so we add everything;
⇒ 10/39 + 14/143 + 35/1287 + 5/1287
= 0.38539
Therefore, the probability that Jack draws the blue ball is 0.38539
Answer:
square base pyramid
triangle base pyramid
Step-by-step explanation:
second one is square bas pyramid
third one is triangle base pyramid
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
First, let's see what the answer is when we follow this equation using PEMDAS.
5 + 4 x 2 + 6 - 2 x 2 - 1
5 + 8 + 6 - 4 - 1
14
Now, let's trying grouping 5 + 4 together, and solving it again.
(5 + 4) x 2 + 6 - 2 x 2 - 1
9 x 2 + 6 - 2 x 2 - 1
18 + 6 - 4 - 1
24 - 5
19
So, the parentheses go around 5 + 4 to get your answer!
Answer:
2x + 3y
Step-by-step explanation:
10x + 7x - 15x + 3y=
17 x - 15 x + 3y
2x + 3y
