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Sonja [21]
4 years ago
13

What is the probability that a coin will be flipped 4 times and the result will be HTHT?

Mathematics
2 answers:
zepelin [54]4 years ago
5 0
I think the answer is 1/16 because there is only one way that HTHT can fall out of 16 possible outcomes. That's what I think. Hope this helps!
Sati [7]4 years ago
5 0
Hello!

With every flip of a coin, the chances of flipping heads or tails are the same; 50% chance of either. 

For your question, you are asking what the probability of getting heads, tails, heads, and tails (in that order) is.
To find the probability, your formula will be 1/2 multiplied four times. 1/2 because of the 1 side that you are aiming to flip (heads on the first flip) divided by the amount of sides there are on a coin (2). 
Because you are flipping the coin four times, you will multiply the fraction four times. 
1/2x1/2x1/2x1/2 
Once this is multiplied, your answer is 1/16. 

The probability that a coin will be flipped 4 times and the result will be HTHT is 1/16. 

I hope this helps you!!
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A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
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Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0
3 years ago
Solve for the roots in the following equation. hint: factor both quadratic expressions. (x 4 5x 2 - 36)(2x 2 9x - 5) = 0
OleMash [197]
Hello :
 <span>(x 4 +5x²  - 36)(2x ²+ 9x - 5) = 0</span>

7 0
4 years ago
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barxatty [35]

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8 0
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Are 3 10ths as a percentage 30%
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3 years ago
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Which region represents the solution to the given system of inequalities?
Phoenix [80]

Answer: The intersection region shown in the graph attached is the solution of the system of inequalities.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

 Given the following system of inequalities:

\left \{ {{x+3y\leq-3 } \atop {x\geq3 }} \right.

We need to graph the lines.

We have the line:

x+3y=-3

Solving for "y", we get:

3y=-x-3\\\\y=\frac{1}{3}x-1

Knowing that m=-\frac{1}{3} and b=-1, we can graph it.

Since the symbol is \leq, the line must be solid.

The other line is:

x=3

Since "x" only takes one value, we can identify that it is a vertical line, so we can graph it.

Since the symbol is \geq, the line must be solid.

We need to substitute a point that is not on the line, into each inequalities. Let's choose the point (0,0).

Then:

0+3(0)\leq-3\\\\0\leq-3

This is false, therefore, we must shade the half that does not contain this point.

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This is false, so we must shade the half that does not contain this point.

The intersection region of the solutions (Observe the graph attached) of the given inequalities is the solution of the system of inequalities.

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3 years ago
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