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babunello [35]
3 years ago
8

What is the probability of tossing 4 heads? a) 1/2 b) 1/16 c) 1/33 d) 1/4

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0
If tossing 1 head is 1/2, then you have to do 1/2^4 which is 1/2 × 1/2 × 1/2 × 1/2 (I imagine it as a tree diagram if that helps). 2^4 is 16, so your answer is b) 1/16. Hope this helps!
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What is the common difference in the sequence 5, 10, 15, 20, 25,...?
Bas_tet [7]
The answer is D

You just need to subtract term 1 (5) from term 2 (10) to find the answer, and the common difference between each sequential term is 5
8 0
3 years ago
Write the equation of the line with a slope of 2 that passes through the points -2 -7 and 5 7
Marat540 [252]
Hello!
Really, we could finish this problem without knowing the slope or just having one of the given points.
However, since they gave us the slope, let's take the easier way.

y = 2x + b
To find b, we can plug in one of the points. (it doesn't matter which)
7 = 2(5) + b
7 = 10 + b
b = 7-10 = -3

So, the final equation is y = 2x - 3 or answer choice D.

Hope this helps!! let me know if you have ANY questions.
5 0
2 years ago
Let f(x) = x+2/x+6 <br> f^-1(-6) =
GREYUIT [131]

We can explicitly find the inverse. If f^{-1}(x) is the inverse of f(x), then

f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x

Solve for the inverse :

\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x

\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x

1 - \dfrac4{f^{-1}(x) + 6} = x

1 - x = \dfrac4{f^{-1}(x) + 6}

f^{-1}(x) + 6 = \dfrac4{1-x}

\implies f^{-1}(x) = \dfrac4{1-x} - 6

Then when x = -6, we have

f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}

Alternatively, we can first solve for x such that f(x) = -6. Then taking the inverse of both sides, x = f^{-1}(-6). (The difference in this method is that we don't compute the inverse for all x.)

We have

\dfrac{x+2}{x+6} = -6

x + 2 = -6 (x + 6)

x + 2 = -6x - 36

7x = -38

\implies x = \boxed{-\dfrac{38}7}

8 0
2 years ago
In the polynomial 4x3 + 5x2 − 12, what is the coefficient of the x2 term?
Elza [17]

Answer:

5

Step-by-step explanation:

7 0
2 years ago
sharla has 87 silver coins in her collection and 82 copper coins in her collection. She rounded each type of coin to the nearest
valina [46]

Answer:

no it is not reasonable

3 0
3 years ago
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