Brainliest if correct Multiply 3/7 by 4/5
1 answer:
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Answer:
103, 776
Step-by-step explanation:
There are 48 possibilities, and you are picking 3.
Now, the order does matter (aka, if the same 3 athletes won but got different places, we would still consider it to be a separate possibility)
(this is considered "without repetitions")
the number of permutations (arrangement combinations where the order does matter) without repetitions formula:
Number of permutations
without <em>repetitions </em>= nPr
=
(
[the P is for combinations [where the order does matter, if the order didn't matter then it would be C, and it would be a different formula.]
n is the total number of objects.
r is the number of objects selected]
<em>(a repetition would be like two versions of the same person competing, which doesn't make sense)</em>
{the ! means factorial:
5! = 5 x 4 x 3 x 2 x 1}
{for example, if there are 5 people to give a presentation, and they can go in any order [but cannot repeat their presentation], so they all must fill 5 slots}
{for the first slot there are 5 choices, the second slot there are 4 choices...}
)
So, if we follow this formula:
n: 48
r: 3
=
=
(the 45! cancel out)
= 48 * 47 * 46
= 103, 776
(or, without the formula:
for the first choice (lets say of gold), there are 48 options
for the second choice (lets say silver), there are 47 options left to choose from
for the third choice (lets say bronze), there are 46 options left to choose from
)
The question is incomplete. Here is the complete question:
Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.
A.
B.
C.
D.
Answer:
A.
D.
Step-by-step explanation:
Given:
The range is greater than or equal to 1 or less than or equal to -1.
The given choices are:
Choice A:
We know that, the
The range of is from -1 to 1 given as [-1, 1]. So,
Therefore, on removing the absolute sign, we rewrite the secant function as:
Therefore, the range of is all real numbers greater than or equal to 1 or less than or equal to-1.
Choice B:
We know that, the range of tangent function is all real numbers. So, choice B is incorrect.
Choice C:
We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.
Choice D:
We know that, the
The range of is from -1 to 1 given as [-1, 1]. So,
Therefore, on removing the absolute sign, we rewrite the cosecant function as:
Therefore, the range of is all real numbers greater than or equal to 1 or less than or equal to-1.