Answer:
The probability of rolling a 6 on the next toss = 1/6
Step-by-step explanation:
Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.
To find - What is the probability of rolling a 6 on the next toss?
Proof -
As the outcomes of previous rolls do not affect the outcomes of future rolls.
And there is one desired outcome and six possible outcomes.
So,
The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.
So,
The answer is -
The probability of rolling a 6 on the next toss = 1/6
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is 
. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
Answer:
e
f
∘
g
(
x
)
=
2
x
2
−
4
x
−
3
And
g
∘
f
(
x
)
=
(
2
x
−
3
)
(
2
x
−
5
)
Step-by-step explanation: f
(
x
)
=
2
x
−
3
g
(
x
)
=
x
2
−
2
x
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
x
)
=
2
(
x
2
−
2
x
)
−
3
=
2
x
2
−
4
x
−
3
g
∘
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
2
x
−
3
)
=
(
2
x
−
3
)
2
−
2
(
2
x
−
3
)
=
(
2
x
−
3
)
(
2
x
−
3
−
2
)
=
(
2
x
−
3
)
(
2
x
−
5
)
f
∘
g
(
x
)
≠
g
∘
f
(
x
)
The distance between point M and point is is about 8.06 units (rounded to nearest hundredth)
Answer:
Step-by-step explanation:
since AD is a median it implies that triangle ABC is bisected to two equal right angled triangle which are ADB and ADC.
FE is parrallel to BC and cuts AB at F and AC at E shows that there are two similar triangles formed which are AFE and ABC.
Recall that ADC is a right angled triangle, ED bisects a right angled triangle the the ADE = 
.
Now, Let FD bisect angle ADB,
then ADF = too.
Since AFX is similar to Triangle ABD and that Triangle AEX is similar to Triangle ACD, then EDX is similar to FDX
FDE = ADF + ADE = 
