Answer:
Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.
Step-by-step explanation:
Given:
Distance from where he dive from = 15 feet
Distance he reached after dive = 15 feet
Also Given:
Alex says that the two distances are opposites,
Also Total distance of dive according to Alex = 15 +-15 =0 feet
Solution:
We know that the diving board is 15 feet above the water level, but here it is important to know that even he is above the surface of the water he is diving in the water and then he reached 15 deep in the water.
From above scenario we can say that the two distances are in the same direction.
Total Distance of dive will be = 15 +15 =30 feet.
Hence We can say that Alex is wrong in calculating his dive distance Actual Dive distance is 30 feet.
You need to find the probability of Heads, Heads, Heads in 3 tosses;
P(HHH)= (1/2)(1/2)(1/2) <-- each toss has 2 possibilities and heads is one
P(HHH)=1/8
Therefore, the probability of flipping 3 heads on a fair coin is 1/8
Hope I helped :)
Answer:
1 / y^7
Step-by-step explanation:
Y^-9•y^-8•y^10
= y^10 / y^9•y^8
= y^10 / y^17
= 1 / y^7
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
<u>a) The x-axis </u>
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) 
= 
∴ Vol = 8π
<u>b) The line y = 2 ( using the shell method )</u>
p = 2 - y
h = y^2
vol = ( 2π )
= 
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
<u>c) The y-axis ( using shell method )</u>
h = 2-y = h = 2 - √x
p = x
vol = 
= 
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
<u>d) The line x = -1 (using shell method )</u>
p = 1 + x
h = 2√x
vol =
Hence vol = 176/15 π
attached below is the graphical representation of P and h
Roberto paints 1/6 of a room in 1 hour.
Julio paints1/8 of a room in 1 hour.
Working together, they paint (1/6 + 1/8) = (4/24 + 3/24) = 7/24 room per hour.
The reciprocal unit rate is 24/7 hour per room = <em>3-3/7 hours</em> per room.
