The probability of getting exactly zero tails is 1/8.
Step-by-step explanation:
When a fair coin is tossed three time, the set of equally likely outcomes is:
S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}
n(S)=8
Let A be the event that there are exactly zero tails which means there are all heads
Then
A= {HHH}
n(A)=1
The probability of getting exactly zero tails is 1/8.
Keywords: Probability, Equally likely events
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Answer:
i think x = -4, y = 5
Step-by-step explanation:
x = 16 - 4y
3x + 4y = 8
3(16 - 4y)+4y = 8
48-12y+4y = 8
48-8y = 8
48-8 = 8y
40 = 8y
5 = y
so
x = 16 - 4y
x = 16 - 4(5)
x = 16 - 20
x = -4
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>
Steps to solve:
8j - k + 14; j = 0.25 and k = 1
~Substitute
8(0.25) - (1) + 14
~Simplify
2 - 1 + 14
~Subtract
1 + 14
~Add
15
Best of Luck!
The correct answer is Choice A.
This is an example of an exponential equation, so we need the formula
.
The a value is the starting value of 100. The b value must be a decimal lower than 1 because it is decreases.
If you substitute in 8 for x, you will see that the output is about 50 (half of 100).
