Answer:
\frac{17}{24}
Step-by-step explanation:
Given that Box 1 contains 2 red balls and 1 blue ball. Box 2 contains 3 blue balls and 1 red ball. A coin is tossed. If it falls heads up, box 1 is selected and a ball is drawn. If it falls tails up, box 2 is selected and a ball is drawn.
P(selecting Box 1) = 0.5 = P(selecting II box) (assuming a fair coin is tossed)
P(Red/Box I ) =
P(Red/Box II) =
Box 1 and Box 2 are mutually exclusive and exhaustive events.
So probability of selecting a red ball.
= probability of selecting a red ball from box 1 + probability of selecting a red ball frm box 2
Answer:
Explanation:
First, we must determine the circumference of the paddle wheel.
The formula for the circumference of a circle is:
c
=
2
π
r
Where
r
is the radius of the circle.
However, we know
d
=
2
r
where
d
is the diameter of the circle.
Therefore:
c
=
2
r
π
=
d
π
Substituting
12
ft
for
d
gives a circumference of:
c
=
12
π
ft
The time it takes to complete 1 revolution can be found using the formula:
t
=
d
s
Where:
t
is the time it takes: what we are solving for in this problem.
d
is the distance traveled: we calculated this as
12
π
ft
s
is the speed traveled: from the problem we know this is
7.2
ft
sec
Substituting and calculating
t
gives:
t
=
12
π
ft
7.2
ft
sec
t
=
12
π
ft
sec
7.2
ft
t
=
12
π
ft
sec
7.2
ft
t
=
12
π
sec
7.2
t
=
1
.
¯
6
π
sec
Two find how long it would take for 100 revolutions we can multiply this time by
100
100
×
1
.
¯
6
π
sec
⇒
166
.
¯
6
π
sec
If a number is required for the answer we can use 3.14 as an estimate for
π
giving:
166
.
¯
6
π
sec
⇒
166
.
¯
6
×
3.14
sec
⇒
523
sec
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Answer:
18 cm each side
Step-by-step explanation:
Square has 4 sides. So, 72/4=18
18 cm each side
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Answer:
Equation: y(1.09)^x
After 10 years there will be about 12 squirrels.
Step-by-step explanation:
y(1.09)^x
=5(1.09)^10
=(approx.) 12 squirrels