<u>Answer- </u>
In tossing four fair dice, the probability of getting at most one 3 is 0.86.
<u>Solution-</u>
The probability of getting at most one 3 is, either getting zero 3 or only one 3.
( ∵ xxxx )
( ∵ 3xxx, x3xx, xx3x, xxx3 )
P(Atmost one 3) = P(A) + P(B) = 0.48 + 0.38 = 0.86
Answer:
15.5 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...
x^2 + (4 ft)^2 = (16 ft)^2
x^2 = 240 ft^2 . . . . . . subtract 16 ft^2
x ≈ 15.5 ft . . . . . . . . . . take the square root
The top of the ladder is about 15.5 ft above the ground.
Answer:
Step-by-step explanation:
taking like terms together
taking LCM
taking LCM
splitting the term
splitting the term
we know that
putting this value in above equation
Answer:
y=7
Step-by-step explanation:
We have two numbers,
x
,
y
. We know two things about them:
2
x
+
y
=
25
3
x
−
y
=
20
Let's add these two equations together which will cancel the
y
:
5
x
+
0
y
=
45
x
=
45
5
=
9
We can now substitute in the
x
value into one of the original equations (I'll do both) to get to
y
:
2
x
+
y
=
25
2
(
9
)
+
y
=
25
18
+
y
=
25
y
=
7
3
x
−
y
=
20
3
(
9
)
−
y
=
20
27
−
y
=
20
The volume of the cone is πr²h/3 where r=3/2 and h=5. So volume=15π/4=11.78 cu in.
