Answer: 2
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Answer: slope, m = -7/3
Step-by-step explanation:
The equation of the line is
7x+3y=15.
To find the slope,
We will consider the standard slope intercept equation also known as the equation of a straight line,
y = mx + c
Where m = slope( change in y values divided by change in x values)
c = the y intercept. This is the point where the straight line cuts across the y axis
Looking at the given equation, 7x+3y=15,
We would need to rearrange it and make y the subject of the formula. It becomes
3y = 15 - 7x
Dividing the right hand side of the equation and left hand side of the equation by 3,
y = -7x/3 + 15. Comparing with the slope intercept equation,
m = -7/3
answer:m3+27n3
Step-by-step explanation:
Rewrite
27
n
3
as
(
3
n
)
3
.
m
3
+
(
3
n
)
3
Since both terms are perfect cubes, factor using the sum of cubes formula,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
where
a
=
m
and
b
=
3
n
.
Answer:
The required probability is 0.3717.
Step-by-step explanation:
Consider the provided information.
There are approximately 100 species of venomous snakes, but only about 12 have a deadly bite.
zoo randomly selects one snake from each of five different species to show visitors.
The total number of ways to select 5 different species out of 100 are:
We need to find the probability that exactly one of the five snakes shown is deadly.
That means out of 12 deadly bite we need to select only 1.
Thus, the number of ways are:
Hence, the required probability is:
The required probability is 0.3717.
