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4 years ago

Given f(x) = the quantity of x plus 4, divided by 6, solve for f−1(7).

Mathematics

1 answer:

gregori [183]4 years ago

3 0

F (x)=(x+4)/6
f-1 (7)=x
f (f-1 (7)=f (x)
7=f (X)
7=(x+4)/6
x+4=42
x=38

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Three six-sided fair dice are rolled. The six sides of each die are numbered 1; 2; : : : ; 6. Let A be the event that the first

valkas [14]

Answer:

1.) [A, B, C]

2.) [A', B', C']

3.) [A', B, C] or [A, B', C] or [A, B, C'] or [ A', B', C] or [A', B, C'] or [A, B', C'] or [A', B', C']

4.) A', B', C] or [A', B, C'] or [A, B', C'] or [A', B, C] or [A, B', C] or [A, B, C'] or [A, B, C]

Step-by-step explanation:

If A is the event that the first die shows an even number, then A' is the event that first die DOES NOT show an even number.

If B is the event that the Second die shows and even number, then B' is the event that second die DOES NOT show an even number.

If C is the event that the third die shows an even number, then C' is the event that third die DOES NOT show an even number.

Hence, our possible events are A, A', B, B', C, C'.

For question 1, in the event that all three dice show and even number, the expression of the event = [A, B, C]

For question two, in the event that no die shows an even number, the expression of the event = [A', B', C']

For question 3,In the event that at least one die shows an odd number, the expression of the event = [A', B, C] or [A, B', C] or [A, B, C'] or [ A', B', C] or [A', B, C'] or [A, B', C'] or [A', B', C']

For question 4,in the event that at most two dice show odd numbers, the expression of the event = [A', B', C] or [A', B, C'] or [A, B', C'] or [A', B, C] or [A, B', C] or [A, B, C'] or [A, B, C]

6 0

3 years ago

Really need help with this math problem. Thanks!

ohaa [14]

Lana = x
Pam = 0.5x - 0.05
Cheryl = 0.5x - 0.05 + 3.10

Total 89$ = Lana + Pam + Cheryl

89 = x + 0.5x - 0.05 + 0.5x - 0.05 + 3.10
89 = 2x + 3
89 - 3 = 2x
86 = 2x
86/2 = x
43 = x

then Pam = 0.5(43) - 0.05
= 21.50 - 0.05
= 21.45

Cheryl = 21.45 + 3.10
= 24.55

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3 years ago

Read 2 more answers

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Lemur [1.5K]

Answer:

2(y-7) = 3

Step-by-step explanation:

Twice means multiply by 2.

The difference of a number and 7 means subtract a number/variable and 7.

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2(y-7) = 3

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3 years ago

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bonufazy [111]

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4 years ago