Answer:
The probability of getting two heads and a four is 1/24
Step-by-step explanation:
The probability of getting a head upon a single toss of a coin, assuming the coin is fair is 1/2.
The probability of getting two heads upon tossing two coins together will simply be the product of the individual probabilities;
P (HH) = 1/2 * 1/2 = 1/4
On the other hand, the probability of getting a four upon rolling a six sided number cube is;
1/6
This is because the number 4 occurs only once in a total possible of 6 numbers.
Therefore, the probability of getting two heads and a four;
P (HH4) = 1/2 * 1/2 * 1/6 = 1/24 since the three events are independent.
Answer:
7/35
Step-by-step explanation:
The answer was wrong . The correct answer is 18x^5y^4z<span><span><span>
</span></span></span>
Answer:
First, we need to determine the slope of the line going through the two points. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
5
−
7
3
−
0
=
−
2
3
Now, we can use the point-slope formula to find an equation going through the two points. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope we calculated and the values from the first point gives:
(
y
−
7
)
=
−
2
3
(
x
−
0
)
We can also substitute the slope we calculated and the values from the second point giving:
(
y
−
5
)
=
−
2
3
(
x
−
3
)
We can also solve the first equation for
y
to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
y
−
7
=
−
2
3
x
y
−
7
+
7
=
−
2
3
x
+
7
y
−
0
=
−
2
3
x
+
7
y
=
−
2
3
x
+
7
