Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
Answer:
314 ft²
Step-by-step explanation:
Data provided in the question:
Depth (height) of the pool = 
of its radius
let the radius be 'r' ft
thus,
Depth (height) of the pool, h = 
ft
Volume of the pool = 1570 ft³
also,
Volume of cylinder = πr²h
thus,
1570 ft³ = πr²h
or
1570 ft³ = 
or
3140 = 3.14 × r³ [ π = 3.14 ]
or
r³ = 1000 ft³
or
r = 10 ft
Thus,
Area of the bottom surface = πr²
= 3.14 × 10²
= 314 ft²
Answer: x = 2
Step-by-step explanation:
5x + 11 - 2x = 17
Combine like terms
3x + 11 = 17
Subtract 11 from each side
3x = 6
Divide each side by 3
x = 2
Answer:
The width of rectangle is 1 unit.
Step-by-step explanation:
Given:
The area of rectangle is 6 units and its width is 5 units less than the length.
So, to find the width of rectangle.
Let the length be 
and the width be 
.
Now, to find the width we put the formula of area of rectangle:
Area = length × width
<em>On solving equation we get:</em>
Therefore, we take the value x=6 as it is positive value:
So, the width of rectangle:
Width =
= 
= 
Therefore, the width of rectangle is 1 unit.
Answer:
5. Slope: 2
Y-intercept: 3
6. Slope: 1/2
Y-intercept: 5
Step-by-step explanation:
