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polet [3.4K]
3 years ago
7

A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT}. Find the probability of g

etting exactly one tail.
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
The event space of getting exactly one tail is {HT, TH}
The sample space is {HH, HT, TH, TT}

There are two ways to get exactly one tail, out of 4 total possible outcomes. 
So 2/4 = 1/2 is the answer
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Find the f^-1(x) and it’s domain
borishaifa [10]

Answer:

f^{-1}(x) = (x + 8)^2

x \ge -8

Step-by-step explanation:

Given

f(x) = \sqrt x - 8

Solving (a): f^{-1}(x)

We have:

f(x) = \sqrt x - 8

Express f(x) as y

y = \sqrt x - 8

Swap x and y

x = \sqrt y - 8

Add 8 to both\ sides

x + 8 = \sqrt y - 8 + 8

x + 8 = \sqrt y

Square both sides

(x + 8)^2 = y

Rewrite as:

y = (x + 8)^2

Express y as: f^{-1}(x)

f^{-1}(x) = (x + 8)^2

To determine the domain, we have:

The original function is f(x) = \sqrt x - 8

The range of this is: f(x) \ge -8

The domain of the inverse function is the range of the original function.

<em>Hence, the domain is:</em>

x \ge -8

3 0
3 years ago
A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answe
Veronika [31]

Answer:

17/3

Step-by-step explanation:

to find out the width, we need to divide the area by the length.

68/12=5.666666667

fraction form: 17/3 (5 2/3)

4 0
2 years ago
14. f(x) = -x4 + x² + 4; x = -1
natali 33 [55]

Answer:

  f(-1) = 4

Step-by-step explanation:

See below for the synthetic division tableau. The remainder is 4, hence ...

  f(-1) = 4

___

IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:

  f(-1) = -1 +1 +4

  f(-1) = 4

5 0
3 years ago
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maksim [4K]
3d+8=2d-17
-2d -2d
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d+8=-17
-8 -8
__________
d=-25
8 0
3 years ago
Read 2 more answers
How many arrangements are there of the letters in the word "greet?"
IgorLugansk [536]

Answer: 60

5 / 2

= 5×4×3×2×1/2×1

=120 / 2

= 60.
I hoped this helped! :)
8 0
3 years ago
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